{"id":2041,"date":"2017-10-07T23:55:55","date_gmt":"2017-10-07T23:55:55","guid":{"rendered":"http:\/\/www.cientificos.pe\/?p=2041"},"modified":"2018-04-09T19:08:00","modified_gmt":"2018-04-09T19:08:00","slug":"clasificatorias-al-mundial-rusia-2018-una-introduccion-a-la-teoria-de-probabilidad","status":"publish","type":"post","link":"https:\/\/www.cientificos.pe\/?p=2041","title":{"rendered":"Clasificatorias al mundial Rusia 2018: Una introducci\u00f3n a la teor\u00eda de la probabilidad."},"content":{"rendered":"<p style=\"text-align: justify;\"><strong>15 de Noviembre\u00a0del 2017<\/strong><\/p>\n<p style=\"text-align: justify;\">Clasificaron Argentina, Colombia y Per\u00fa. Este \u00faltimo clasific\u00f3\u00a0venciendo\u00a0a Nueva Zelanda 2-0 en los partidos de Repechaje.<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 12pt;\"><strong>7 de Octubre del 2017<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">En la <a href=\"http:\/\/www.cientificos.pe\/index.php\/2017\/10\/07\/clasificatorias-al-mundial-rusia-2018-una-introduccion-a-la-teoria-de-probabilidad\/3\/\">primera parte de este art\u00edculo<\/a> elaboramos un an\u00e1lisis matem\u00e1tico de los 5 clasificados al mundial de Rusia 2018 antes de jugarse las dos \u00faltimas fechas de las Clasificatorias. Asumimos que Colombia no perder\u00eda con Paraguay y a partir de ah\u00ed elaboramos todo el an\u00e1lisis. Por iron\u00edas del f\u00fatbol, Paraguay derrot\u00f3\u00a0a Colombia en el \u00faltimo minuto y alter\u00f3\u00a0los resultados obtenidos en el an\u00e1lisis. En un inicio consideramos un resultado positivo de Colombia porque al hacerlo las combinaciones posibles se reduc\u00edan de <strong>2187<\/strong> a <strong>243<\/strong>, siendo este \u00faltimo un n\u00famero f\u00e1cil de manejar. En el presente art\u00edculo desarrollamos un an\u00e1lisis similar considerando los resultados de la pen\u00faltima fecha. La Tabla de Posiciones viene dada a continuaci\u00f3n:<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-2283\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablapenul-300x168.png\" alt=\"\" width=\"500\" height=\"280\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablapenul-300x168.png 300w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablapenul-768x429.png 768w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablapenul-696x389.png 696w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablapenul-751x420.png 751w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablapenul.png 830w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n<p style=\"text-align: justify;\">Para empezar, considerando que en la \u00faltima fecha el partido de Uruguay vs Bolivia es irrelevante, nos quedan 4 partidos a jugar, esto se resume en:<\/p>\n<ul>\n<li style=\"text-align: justify;\">Combinaciones posibles en la \u00faltima fecha: 3 x 3 x 3 x 3 = <strong>81<\/strong><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">Es decir, existen 81 formas en las que puede quedar la tabla de posiciones (<a href=\"http:\/\/www.cientificos.pe\/index.php\/2017\/10\/07\/clasificatorias-al-mundial-rusia-2018-una-introduccion-a-la-teoria-de-probabilidad\/2\/\">click aqu\u00ed <\/a>para que veas las 81 formas posibles). De todas ellas s\u00f3lo una representar\u00e1 el final de las Clasificatorias. En este an\u00e1lisis tenemos dos\u00a0clasificados: Brasil y Uruguay. Los aspirantes a los tres\u00a0cupos que faltan son Chile, Argentina, Per\u00fa, Colombia y Paraguay (en este art\u00edculo, cada vez que hablemos de un equipo clasificado estamos incluyendo el puesto de repechaje). Sus partidos son los siguientes,<\/p>\n<p style=\"text-align: center;\">&#8212;&#8212;&#8212;&#8211; vs Argentina<img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>Per\u00fa\u00a0vs\u00a0Colombia\u00a0<img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><br \/>\n&#8212;&#8212;&#8212;&#8211; vs Chile<img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/>Paraguay vs &#8212;&#8212;&#8212;&#8211;<\/p>\n<p style=\"text-align: justify;\">Como ves, en la \u00faltima fecha no importa mucho quienes sean los rivales de Argentina, Chile\u00a0y Paraguay\u00a0porque los \u00fanicos que pueden alterar la tabla de posiciones son ellos y no sus rivales. Ahora haremos uso de la teor\u00eda de la probabilidad&#8230;<\/p>\n<p style=\"text-align: justify;\">Los resultados m\u00e1s interesantes que arroja las matem\u00e1ticas son los siguientes:<\/p>\n<p style=\"text-align: justify;\">1<em>.\u00a0<strong><span style=\"text-decoration: underline;\">\u00bfCu\u00e1l es el puntaje de repechaje m\u00e1s probable?<br \/>\n<\/span><\/strong><\/em>Considerando el diagrama del \u00e1rbol (explicado en <a href=\"http:\/\/www.cientificos.pe\/index.php\/2017\/10\/07\/clasificatorias-al-mundial-rusia-2018-una-introduccion-a-la-teoria-de-probabilidad\/3\/\">la primera parte del art\u00edculo<\/a>) obtenemos:<\/p>\n<p style=\"text-align: center;\">P(28) = 6\/81<br \/>\nP(27) = 27\/81<br \/>\nP(26) = 42\/81<br \/>\nP(25) = 6\/81<\/p>\n<p style=\"text-align: justify;\">P(X) indica la probabilidad de obtener X puntos en el puesto de repechaje. Por ende, el <strong>puntaje m\u00e1s probable para el quinto puesto en las Clasificatorias es de 26 puntos<\/strong>, i.e.,\u00a0P(26) = 42\/81 = 51.9%. Adicionalmente, vemos que el puntaje m\u00e1s alto del puesto de repechaje es de 28 puntos. Uruguay a la fecha tiene 28 puntos con una diferencia de goles de +10, por consiguiente para que quede eliminado el quinto puesto debe golear\u00a09-0 a su rival. En estas circunstancias es factible asumir que Uruguay ya est\u00e1 clasificado.<\/p>\n<p style=\"text-align: justify;\">2<em>.\u00a0<strong><span style=\"text-decoration: underline;\">\u00bfEn cu\u00e1ntos casos el quinto y sexto puesto obtienen el mismo puntaje?<\/span><\/strong><\/em><\/p>\n<p>Haciendo uso de los resultados dados en la <a href=\"http:\/\/www.cientificos.pe\/index.php\/2017\/10\/07\/clasificatorias-al-mundial-rusia-2018-una-introduccion-a-la-teoria-de-probabilidad\/2\/\">informaci\u00f3n suplementaria<\/a> obtenemos:<\/p>\n<p style=\"text-align: center;\">PROBABILIDAD TOTAL: 27\/81 = 33.3%<\/p>\n<p style=\"text-align: center;\">PROBABILIDAD (Si Chile pierde con Brasil) = 15\/27 = 55.5%<br \/>\nPROBABILIDAD (Si Chile empata\u00a0con Brasil) = 6\/27 = 22.2%<br \/>\nPROBABILIDAD (Si Chile vence\u00a0a Brasil) = 6\/27 = 22.2%<\/p>\n<p style=\"text-align: justify;\">Es decir, en 27 casos de los 81 posibles, el quinto y sexto lugar se define por diferencia de goles. Para el caso particular en que Chile pierde contra Brasil esta situaci\u00f3n\u00a0se da en 15 de 27 casos posibles, es decir, es <strong>muy alta la probabilidad que el quinto y sexto puesto se definan por diferencia de goles<\/strong>.<\/p>\n<p style=\"text-align: justify;\"><span style=\"text-decoration: underline;\">3<i>.\u00a0<\/i><\/span><strong style=\"font-style: italic;\"><span style=\"text-decoration: underline;\">\u00bfQui\u00e9nes ser\u00e1n los 5 clasificados?<\/span><\/strong><\/p>\n<p style=\"text-align: justify;\">En este an\u00e1lisis, Brasil y Uruguay est\u00e1n clasificados. Quedan 3 cupos\u00a0para acceder al mundial. Bas\u00e1ndonos en los resultados mostrados en la <a href=\"http:\/\/www.cientificos.pe\/index.php\/2017\/10\/07\/clasificatorias-al-mundial-rusia-2018-una-introduccion-a-la-teoria-de-probabilidad\/2\/\">informaci\u00f3n suplementaria <\/a>tenemos para los equipos que a\u00fan siguen en carrera:<\/p>\n<table>\n<caption>Probabilidad de clasificar entre los 5 primeros<\/caption>\n<tbody>\n<tr>\n<td style=\"text-align: center;\">Con la mejor diferencia\u00a0de goles<\/td>\n<td style=\"text-align: center;\">Con la peor diferencia de goles<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">\n<h4><strong>P(<img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>) = 78\/81 = \u00a096.3%<\/strong><\/h4>\n<h4><strong>P(<img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/>) =\u00a070\/81 = \u00a086.4%<\/strong><\/h4>\n<h4><strong>P(<img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>) = 54\/81 = \u00a066.6%<\/strong><\/h4>\n<h5>P(<img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>) = 49\/81 = \u00a060.5%<\/h5>\n<h6>P(<img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/>) =\u00a0NO APLICA<\/h6>\n<\/td>\n<td style=\"text-align: center;\">\n<h4><strong>P(<img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>) = 65\/81 = \u00a080.2%<\/strong><\/h4>\n<h4><strong>P(<img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/>) = 60\/81 = \u00a074.1%<\/strong><\/h4>\n<h4><strong>\u00a0P(<img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>) = 33\/81 = 40.1%<\/strong><\/h4>\n<h5>\u00a0P(<img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>) = 33\/81 = 40.1%<\/h5>\n<h6>\u00a0 \u00a0 \u00a0P(<img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/>) = 21\/81 = 25.9%<\/h6>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">Lo interesante es que a pesar que Per\u00fa y Argentina tienen el mismo puntaje, al culminar la \u00faltima fecha, Argentina tiene una probabilidad ligeramente superior de clasificar. Esto se explica porque Per\u00fa juega con un rival directo que es Colombia mientras que Argentina lo hace con un equipo eliminado. Para el an\u00e1lisis\u00a0de Paraguay omitimos el caso con mejor diferencia de goles pues para que esto ocurra Paraguay debe golear 7-0 a Venezuela. Si estos resultados fuesen relevantes <strong>Los 3 clasificados ser\u00edan Argentina, Colombia y Chile<\/strong>.<\/p>\n<p style=\"text-align: justify;\">No obstante, es importante notar que si bien Paraguay est\u00e1 con la probabilidad m\u00e1s baja, tiene el partido m\u00e1s accesible de los 5, se enfrenta contra Venezuela en Asunci\u00f3n. En contraste, si bien Chile tiene el porcentaje de clasificaci\u00f3n m\u00e1s alto, se enfrenta contra Brasil en Sao Paulo. Por tanto,\u00a0podemos realizar un an\u00e1lisis similar teniendo en cuenta estos datos. Es decir, si asumimos que Paraguay derrota a Venezuela y Chile \u00a0a lo mucho le empata a Brasil la tabla de probabilidades pasa a ser la siguiente:<\/p>\n<table>\n<caption>Probabilidad de clasificar entre los 5 primeros<\/caption>\n<tbody>\n<tr>\n<td style=\"text-align: center;\">Con la mejor diferencia\u00a0de goles<\/td>\n<td style=\"text-align: center;\">Con la peor diferencia de goles<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">\n<h4><strong>P(<\/strong><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/>) =\u00a0NO APLICA<\/strong><\/h4>\n<h4><strong>P(<\/strong><strong><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/strong><strong>) = 15\/18 = \u00a083.3%<\/strong><\/h4>\n<h4><strong>P(<\/strong><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong><strong>) = 14\/18 = \u00a077.8%<\/strong><\/h4>\n<h5>P(<strong><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/strong>) = 9\/18 = \u00a050.0%<\/h5>\n<h6>P(<img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>) =\u00a08\/18 = 44.4%<\/h6>\n<\/td>\n<td style=\"text-align: center;\">\n<h4><strong>P(<\/strong><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/>) = 15\/18 = \u00a083.3%<\/strong><\/h4>\n<h4><strong>P(<\/strong><strong><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/strong><strong>) = 10\/18 = \u00a055.6%<\/strong><\/h4>\n<h4><strong>\u00a0P(<\/strong><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong><strong>) = 12\/18 = 66.7%<\/strong><\/h4>\n<h5>\u00a0P(<strong><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/strong>) = 6\/18 = 33.3%<\/h5>\n<h6>\u00a0 \u00a0 \u00a0P(<img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>) = 6\/18\u00a0= 33.3%<\/h6>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">De la tabla observamos lo siguiente:<\/p>\n<ul>\n<li style=\"text-align: justify;\"><strong>Paraguay<\/strong> ganando a Venezuela por la m\u00ednima diferencia alcanza\u00a0una probabilidad de clasificaci\u00f3n de 83.3%.<\/li>\n<li style=\"text-align: justify;\"><strong>Chile<\/strong>\u00a0es el segundo equipo con m\u00e1s chances de clasificar;\u00a0no obstante, su clasificaci\u00f3n es la m\u00e1s marcada por la diferencia de goles decreciendo dram\u00e1ticamente de 83.3% a 55.6%.\u00a0La ventaja que tiene Chile respecto a los otros equipos es que a\u00fan perdiendo por la m\u00ednima diferencia frente a Brasil su probabilidad de clasificaci\u00f3n es latente, pero si pierde por m\u00e1s goles podr\u00eda ir despidi\u00e9ndose del Mundial. Otro dato curioso que se puede apreciar observando la <a href=\"http:\/\/www.cientificos.pe\/index.php\/2017\/10\/07\/clasificatorias-al-mundial-rusia-2018-una-introduccion-a-la-teoria-de-probabilidad\/2\/\">informaci\u00f3n suplementaria<\/a> es que para Chile, un empate o un triunfo frente a Brasil brinda los mismos resultados, es decir, no modifica su probabilidad de clasificaci\u00f3n ni perjudica a los otros equipos. Con esto, Chile tranquilamente\u00a0podr\u00eda jugar a la defensiva frente a Brasil.<\/li>\n<li style=\"text-align: justify;\"><strong>Colombia<\/strong>\u00a0es el tercer equipo con m\u00e1s chances de clasificar, su probabilidad de clasificaci\u00f3n es la menos marcada por la diferencia de goles. Tiene la ventaja que empatando con Per\u00fa sus chances de clasificar siguen siendo latentes. Es decir, Colombia tranquilamente\u00a0podr\u00eda jugar a la defensiva frente a\u00a0Per\u00fa.<\/li>\n<li style=\"text-align: justify;\"><strong>Argentina<\/strong> y <strong>Per\u00fa<\/strong> tienen las m\u00e1s bajas probabilidades de clasificar, est\u00e1n destinados a ganar sus partidos para no depender de muchas variables. Por tanto, desde el primer minuto deben jugar a la ofensiva.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">Para finalizar cabe mencionar que el inesperado triunfo de Paraguay en el \u00faltimo minuto benefici\u00f3 enormemente a Chile y perjudic\u00f3 notablemente a Per\u00fa, tal como se puede evidenciar comparando estos c\u00e1lculos con aquellos hechos en <a href=\"http:\/\/www.cientificos.pe\/index.php\/2017\/10\/07\/clasificatorias-al-mundial-rusia-2018-una-introduccion-a-la-teoria-de-probabilidad\/3\/\">la primera parte del art\u00edculo<\/a>\u00a0donde pronosticamos que los tres clasificados ser\u00edan: <strong>Argentina, Colombia y Per\u00fa, siendo este \u00faltimo quien ir\u00eda al Repechaje.\u00a0<\/strong>\u00bfQui\u00e9n llevar\u00e1 sus c\u00e1nticos al mundial? \u00bfArgentina y Per\u00fa dar\u00e1n la sorpresa? \u00bfParaguay perder\u00e1 su gran opci\u00f3n? \u00bfChile, siendo el favorito, se eliminar\u00e1? \u00bfO Colombia recordar\u00e1 que fue en el \u00faltimo minuto que perdi\u00f3 sus chances de llegar al mundial? El 10 de Octubre todo se revelar\u00e1&#8230;<\/p>\n<p style=\"text-align: justify;\">Christian Ortiz, PhD.<\/p>\n<p style=\"text-align: justify;\"><!--nextpage--><\/p>\n<h4 style=\"text-align: justify;\"><span style=\"font-family: verdana, geneva, sans-serif; font-size: 12pt;\"><strong>7 de Octubre del 2017<\/strong><\/span><\/h4>\n<h4 style=\"text-align: justify;\"><span style=\"text-decoration: underline;\">Informaci\u00f3n suplementaria (2da parte del art\u00edculo)<\/span><\/h4>\n<p style=\"text-align: justify;\">Aqu\u00ed detallamos las 81\u00a0formas en que puede quedar la tabla de posiciones al culminar la \u00faltima fecha (partiendo de los resultados dados en la pen\u00faltima fecha) para los equipos que est\u00e1n disputando los puestos de clasificaci\u00f3n.<\/p>\n<ul>\n<li style=\"text-align: justify;\">En las Tablas 1, 2 y 3 mostramos las tablas de posiciones. Para efectos de visualizaci\u00f3n hemos agrupado los resultados en 3 sub-grupos, el sub-grupo 1 es para el caso en que Ecuador vence a Argentina, el sub-grupo 2 para el caso en que empatan y el sub-grupo 3 para el caso en que Argentina le gana a Ecuador. En cada sub-grupo Chile toma 3 valores dependiendo del partido contra Brasil (dando en total 27 posibles formas en las que puede finalizar el torneo para un determinado sub-grupo). Los tres primeros puestos\u00a0clasifican al mundial (los 2 primeros en forma directa y el tercero a trav\u00e9s del repechaje).<\/li>\n<\/ul>\n<p style=\"text-align: center;\"><strong><span style=\"text-decoration: underline;\">1) Ecuador vence a Argentina\u00a0<\/span><\/strong><\/p>\n<table>\n<caption>Tabla 1<\/caption>\n<tbody>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 24<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 25<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27)(29)<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 24<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 25<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 27<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 29<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 24<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 29<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 25<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 29<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><strong><span style=\"text-decoration: underline;\">2) Ecuador empata con Argentina<\/span><\/strong><\/p>\n<table>\n<caption>Tabla 2<\/caption>\n<tbody>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 24<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 25<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27)(29)<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 24<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 25<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 27<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 29<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 24<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li style=\"list-style-type: none;\">\n<ol>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 29<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 25<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 29<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><strong><span style=\"text-decoration: underline;\">3) Ecuador pierde con\u00a0Argentina\u00a0<\/span><\/strong><\/p>\n<table>\n<caption>Tabla 3<\/caption>\n<tbody>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 26<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 24<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 26<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 25<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27)(29)<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 26<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 24<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 25<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 27<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 29<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 24<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 29<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 25<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2277\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png\" alt=\"\" width=\"24\" height=\"16\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag.png 200w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/colombiaflag-100x70.png 100w\" sizes=\"(max-width: 24px) 100vw, 24px\" \/><\/strong>= 29<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><strong><img loading=\"lazy\" class=\"alignnone wp-image-2278\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/paraguayflag.png\" alt=\"\" width=\"27\" height=\"15\" \/><\/strong>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\"><!--nextpage--><\/p>\n<h4 style=\"text-align: justify;\"><span style=\"font-family: verdana, geneva, sans-serif; font-size: 12pt;\"><strong>9 de Setiembre del 2017<\/strong><\/span><\/h4>\n<p style=\"text-align: justify;\">Las Clasificatorias est\u00e1n llegando a la recta final. Faltan dos fechas y la cantera de hinchas no deja de ver la tabla una y otra vez. Le quedan dos partidos a cada equipo. Son 10. \u00bfCu\u00e1ntos resultados pueden surgir? Parece que son pocos, \u00bflo ser\u00e1n? Cada equipo puede ganar, empatar o perder. \u00a1Tres estados! Lo que es mejor, vienen en pares, si un equipo gana el otro est\u00e1 destinado a perder y si uno empata el otro est\u00e1 destinado a empatar. Suena interesante: <strong>El estado de un equipo autom\u00e1ticamente condiciona el estado del otro<\/strong>. \u00a1No! Esto no es <span style=\"color: #0000ff;\"><em>quantum entanglement.<\/em><\/span>\u00a0No te confundas. Estamos en el mundo cl\u00e1sico, la cu\u00e1ntica la dejaremos para otra oportunidad. Ahora s\u00f3lo daremos nociones b\u00e1sicas de probabilidad.<\/p>\n<p style=\"text-align: justify;\">Si en un fecha hay cinco partidos y los resultados de cada uno pueden ser 3 (ganar, perder o empatar), \u00bfcu\u00e1ntas combinaciones habr\u00e1n? La respuesta es 3 x 3 x 3 x 3 x 3 = 243. Es decir, en la pen\u00faltima fecha hay 243 formas en las que puede quedar la tabla de posiciones. \u00a1Wow\u2026! Eso no es todo, en la \u00faltima fecha ser\u00e1 igual. Entonces, \u00bfcu\u00e1ntas combinaciones hay en total? La respuesta es 243 x 243 = 59049. S\u00ed, lo s\u00e9, el n\u00famero es gigantesco y eso que no hemos considerado el n\u00famero de goles.<br \/>\nEl objetivo es reducir este n\u00famero para poder estudiarlo y as\u00ed determinar quienes ser\u00e1n los cinco clasificados (en este art\u00edculo, cada vez que hablemos de un equipo clasificado estamos incluyendo el puesto de repechaje). Veamos los partidos\u00a0a jugar,<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-2047\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablafinal-300x160.png\" alt=\"\" width=\"500\" height=\"267\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablafinal-300x160.png 300w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablafinal-768x410.png 768w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablafinal-696x372.png 696w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablafinal-786x420.png 786w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablafinal.png 923w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n<p style=\"text-align: justify;\">Prestemos atenci\u00f3n al partido Bolivia vs Brasil. \u00bfEl resultado alterar\u00e1 la tabla de posiciones?<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" class=\"aligncenter wp-image-2048\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablafinal2-300x170.png\" alt=\"\" width=\"500\" height=\"283\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablafinal2-300x170.png 300w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablafinal2-768x434.png 768w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablafinal2-696x394.png 696w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablafinal2-743x420.png 743w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tablafinal2.png 833w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/>\u00a1Claro que no! Brasil va primero y Bolivia casi \u00faltimo. Podemos decir entonces que as\u00ed Bolivia golee 5-0\u00a0la tabla de posiciones no cambiar\u00e1. Por consiguiente, la pen\u00faltima fecha s\u00f3lo cuenta\u00a0con 4 partidos importantes. Siguiendo los c\u00e1lculos hechos inicialmente procedemos,<\/p>\n<ul>\n<li style=\"text-align: justify;\">Combinaciones posibles en la pen\u00faltima fecha: 3 x 3 x 3 x 3 = 81<\/li>\n<li style=\"text-align: justify;\">Combinaciones posibles en la \u00faltima fecha: 3 x 3 x 3 x 3 x 3= 243<\/li>\n<li style=\"text-align: justify;\">Total de Combinaciones posibles: 81\u00a0x 243\u00a0= <strong>19683<\/strong><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u00a1Wow&#8230;! Ya no son 59049 casos sino 19683. Vamos por buen camino. \u00bfQu\u00e9 m\u00e1s podemos hacer? Veamos los partidos de Uruguay. Juega contra Venezuela en Caracas y contra Bolivia en Montevideo. Adem\u00e1s, su diferencia de goles es la m\u00e1s alta (excluyendo a Brasil). Basta que gane uno de esos dos partidos para estar en el mundial. Inclusive, basta que empate uno para clasificar. Es asequible, demasiado f\u00e1cil. Por tanto, vamos a asumir sin miedo a equivocarnos que Uruguay ya est\u00e1 clasificado y sus rivales, Bolivia y Venezuela, as\u00ed ganen, no modificar\u00e1n la tabla de posiciones. Por tanto, en la pen\u00faltima fecha s\u00f3lo hay 3 partidos trascendentales y en la \u00faltima s\u00f3lo 4. Tenemos,<\/p>\n<ul>\n<li style=\"text-align: justify;\">Combinaciones posibles en la pen\u00faltima fecha: 3 x 3 x 3 = 27<\/li>\n<li style=\"text-align: justify;\">Combinaciones posibles en la \u00faltima fecha: 3 x 3 x 3 x 3 = 81<\/li>\n<li style=\"text-align: justify;\">Total de Combinaciones posibles: 27 x 81 = <strong>2187<\/strong><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u00a1Wow&#8230;! Ya no son 19683 casos sino 2187. Entre los partidos que quedan hay uno que marca un antes y un despu\u00e9s en el desenlace de las Clasificatorias. Es el partido de Colombia vs Paraguay. Si Paraguay gana tendr\u00edamos que analizar 2187 casos porque Colombia, yendo tercero, podr\u00eda quedar fuera del mundial. Este caso ser\u00e1 analizado en un <a href=\"http:\/\/www.cientificos.pe\/index.php\/2017\/10\/07\/clasificatorias-al-mundial-rusia-2018-una-introduccion-a-la-teoria-de-probabilidad\/\">pr\u00f3ximo art\u00edculo<\/a>\u00a0y quedar\u00e1 excluido del presente an\u00e1lisis. M\u00e1s adelante estudiaremos el caso en que empatan. Por ahora vamos a considerar que Colombia gana en Barranquilla, entonces elimina a Paraguay y queda clasificado (m\u00e1s adelante verificaremos esta premisa). \u00bfCu\u00e1ntos casos quedan por analizar? Al Colombia ganar, el partido de\u00a0Paraguay frente a Venezuela es irrelevante, por tanto, s\u00f3lo tenemos dos partidos trascendentales en la pen\u00faltima fecha y tres en la \u00faltima. Esto nos da,<\/p>\n<ul>\n<li style=\"text-align: justify;\">Combinaciones posibles en la pen\u00faltima fecha: 3 x 3 = 9<\/li>\n<li style=\"text-align: justify;\">Combinaciones posibles en la \u00faltima fecha: 3 x 3 x 3 \u00a0= 27<\/li>\n<li style=\"text-align: justify;\">Total de Combinaciones posibles: 9\u00a0x 27 =\u00a0<strong>243<\/strong><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u00a1As\u00ed es! Teniendo a Colombia como vencedor nos quedan 243 combinaciones. De todas ellas s\u00f3lo una representar\u00e1 el final de las Clasificatorias. En este an\u00e1lisis tenemos tres clasificados: Brasil, Uruguay y Colombia. Los aspirantes a los dos cupos que faltan son Ecuador, Chile, Argentina y Per\u00fa. Sus partidos son los siguientes,<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>Chile\u00a0vs\u00a0Ecuador<img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>Argentina vs Per\u00fa<img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>Ecuador vs Argentina<img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>Per\u00fa\u00a0vs &#8212;&#8212;&#8212;<br \/>\n&#8212;&#8212;&#8212; vs Chile<img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/p>\n<p style=\"text-align: justify;\">Como ves, en la \u00faltima fecha no importa mucho quienes sean los rivales de Per\u00fa y Chile porque los \u00fanicos que pueden alterar la tabla de posiciones son ellos y no sus rivales. 243\u00a0ya es un n\u00famero manejable. Ahora haremos uso de la teor\u00eda de \u00a0la probabilidad para saber que equipos son favoritos &#8220;matem\u00e1ticamente.&#8221; Aqu\u00ed no estamos hablando de favoritos porque en las \u00faltimas Clasificatorias siempre ganaron, o porque est\u00e1n ahora en un buen puesto en el ranking FIFA, o porque juegan de local y sus chances son altas. \u00a1No! Aqu\u00ed el resultado es puramente matem\u00e1tico y las conclusiones van m\u00e1s all\u00e1 de lo\u00a0que la intuici\u00f3n o la creencia puedan dictaminar. Precisamente as\u00ed naci\u00f3 la teor\u00eda de la probabilidad. En sus inicios se cre\u00eda que el azar estaba determinado por un ser superior, que si uno lanzaba los dados y sal\u00eda un seis era porque estaba destinado a salir ese n\u00famero. Con los a\u00f1os, las matem\u00e1ticas fueron superando a las creencias,\u00a0hombres como Cardano, Galileo, Pascal y Fermat colocaron los primeros cimientos de la teor\u00eda de la probabilidad, que en forma sencilla indica que las chances de que suceda un evento de un total de N casos posibles igualmente probables es igual a la raz\u00f3n entre el n\u00famero de ocurrencias n de dicho evento (casos favorables) y el n\u00famero total de casos posibles, es decir, n\/N.<b>\u00a0<\/b>Veamos algunos ejemplos sencillos con las Clasificatorias.<\/p>\n<p style=\"text-align: center;\">\u00bfCu\u00e1l es la probabilidad que un equipo gane su partido?<br \/>\n<strong>P = 1\/3 = 33.3%<\/strong><\/p>\n<p style=\"text-align: center;\">\u00bfCu\u00e1l es la probabilidad que Argentina le gane a Per\u00fa y al mismo tiempo Chile le gane a Ecuador?<br \/>\n<strong><span style=\"text-align: justify;\">P(<\/span><img loading=\"lazy\" class=\"alignnone wp-image-2052\" style=\"text-align: justify;\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"15\" height=\"9\" \/><span style=\"text-align: justify;\">)\u00a0\u2229 P(<\/span><img loading=\"lazy\" class=\"alignnone wp-image-2050\" style=\"text-align: justify;\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"15\" height=\"9\" \/><span style=\"text-align: justify;\">) = 1\/3 x 1\/3 = 1\/9 = 11.1%<\/span><\/strong><\/p>\n<p style=\"text-align: justify;\">Como un equipo s\u00f3lo puede ganar, perder o empatar, entonces la probabilidad de ganar es 1 de 3. Y como los partidos de Argentina y Chile son resultados independientes, la probabilidad total viene dada por su multiplicaci\u00f3n, 1 de 9. Este n\u00famero adem\u00e1s nos indica que hay nueve formas\u00a0en las que Argentina vs Per\u00fa y Chile vs Ecuador pueden agruparse. Los cuales son,<\/p>\n<p style=\"text-align: center;\">A) Chile vs Ecuador (GP) &#8211; Argentina vs Peru (GP)<br \/>\nB) Chile vs Ecuador (EE) &#8211; Argentina vs Peru (GP)<br \/>\nC) Chile vs Ecuador (PG) &#8211; Argentina vs Peru (GP)<br \/>\nD) Chile vs Ecuador (GP) &#8211; Argentina vs Peru (EE)<br \/>\nE) Chile vs Ecuador (EE) &#8211; Argentina vs Peru (EE)<br \/>\nF) Chile vs Ecuador (PG) &#8211; Argentina vs Peru (EE)<br \/>\nG) Chile vs Ecuador (GP) &#8211; Argentina vs Peru (PG)<br \/>\nH) Chile vs Ecuador (EE) &#8211; Argentina vs Peru (PG)<br \/>\nI) Chile vs Ecuador (PG) &#8211; Argentina vs Peru (PG)<strong><span style=\"text-decoration: underline;\"><br \/>\n<\/span><\/strong><\/p>\n<p style=\"text-align: justify;\">Cada sub-grupo (o conjunto) est\u00e1 etiquetado con\u00a0las letras de la A a la I. GP indica que el ganador es el equipo local y el perdedor el visitante, EE indica que ambos empatan y PG indica que el perdedor es el equipo local y el ganador el visitante.<\/p>\n<p style=\"text-align: center;\">\u00bfCu\u00e1l es la probabilidad de obtener H?<br \/>\n<strong>P(H)\u00a0= 1\/9 = 11.1%<\/strong><\/p>\n<p style=\"text-align: justify;\"><span style=\"text-align: justify;\">\u00bfEn la \u00faltima fecha qu\u00e9 puede ocurrir? Hay 27\u00a0posibles consecuencias para cada sub-grupo. Los resultados aparecen detallados en el anexo. <a href=\"http:\/\/www.cientificos.pe\/index.php\/2017\/10\/07\/clasificatorias-al-mundial-rusia-2018-una-introduccion-a-la-teoria-de-probabilidad\/4\/\">Click aqu\u00ed<\/a> para que veas las 243 combinaciones posibles. \u00a0<\/span><\/p>\n<p style=\"text-align: center;\">\u00bfCu\u00e1l es la probabilidad de obtener A y luego que Per\u00fa le gane a Colombia?<br \/>\n<strong>P(A)\u00a0<span style=\"text-align: justify;\">\u2229 P(<img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"15\" height=\"9\" \/><\/span><span style=\"text-align: justify;\">)<\/span>\u00a0= 1\/9 x 9\/27 = 9\/243 =\u00a03.7%<\/strong><\/p>\n<p style=\"text-align: justify;\">Habiendo estudiado los datos mostrados en el anexo, las conclusiones m\u00e1s interesantes que arroja la teor\u00eda de la probabilidad son,<\/p>\n<p style=\"text-align: justify;\"><em>I. <span style=\"text-decoration: underline;\">Los\u00a0resultados se definen por diferencia de goles<\/span><\/em><\/p>\n<p style=\"text-align: justify;\">Basta mirar\u00a0las Tablas A.2, B.2, C.2, D.2, E.2, F.2, G.2, H.2 e I.2 en la <a href=\"http:\/\/www.cientificos.pe\/index.php\/2017\/10\/07\/clasificatorias-al-mundial-rusia-2018-una-introduccion-a-la-teoria-de-probabilidad\/4\/\">informaci\u00f3n suplementaria<\/a>. Uno puede apreciar que la probabilidad de clasificar de muchos equipos se incrementa considerablemente\u00a0s\u00f3lo por tener mejor diferencia de goles. Esto es de esperar pues a la fecha Argentina, Chile y Per\u00fa tienen casi el mismo puntaje, y lo que es peor, tienen la misma diferencia de goles. Por consiguiente, <strong>el equipo que logre ganar\u00a0por m\u00e1s de dos goles podr\u00eda incrementar considerablemente sus\u00a0chances de llegar al mundial. Y el equipo que pierda por m\u00e1s de dos goles podr\u00eda perjudicar notablemente sus chances de clasificar.<\/strong><\/p>\n<p style=\"text-align: justify;\"><em>II.<span style=\"text-decoration: underline;\"> A Per\u00fa le basta ganar a Argentina para estar (casi) clasificado<\/span><\/em><\/p>\n<p style=\"text-align: justify;\">Veamos los resultados del sub-grupo G donde Per\u00fa le gana a Argentina y Chile le gana a Ecuador,<\/p>\n<table>\n<caption>Tabla G.2<\/caption>\n<tbody>\n<tr>\n<td style=\"text-align: center;\">\u00a0Probabilidad de clasificaci\u00f3n<\/td>\n<td style=\"text-align: center;\">Si Brasil le gana a Chile<\/td>\n<td style=\"text-align: center;\">Si Brasil empata con Chile<\/td>\n<td style=\"text-align: center;\">Si Brasil pierde con Chile<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a03\/9<\/td>\n<td style=\"text-align: center;\">\u00a00 (3\/9)<\/td>\n<td style=\"text-align: center;\">\u00a00 (1\/9)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a09\/9<\/td>\n<td style=\"text-align: center;\">\u00a08\/9 (9\/9)<\/td>\n<td style=\"text-align: center;\">\u00a0\u00a08\/9 (9\/9)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a00<\/td>\n<td style=\"text-align: center;\">\u00a00<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a06\/9<\/td>\n<td style=\"text-align: center;\">\u00a06\/9 (9\/9)<\/td>\n<td style=\"text-align: center;\">\u00a09\/9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">Como se aprecia en la Tabla G.2, as\u00ed Chile gane sus dos partidos, la probabilidad de clasificaci\u00f3n de Per\u00fa oscila entre el 89% y 100% y eso que estamos considerando que Per\u00fa pierde\u00a0contra Colombia. Los valores en par\u00e9ntesis muestran la probabilidad en caso el equipo tenga\u00a0la mejor diferencia de goles. Por ende, Per\u00fa clasifica si o si siempre y cuando le gane a Argentina\u00a0 por una diferencia de dos goles (asumiendo que los dem\u00e1s ganan por 1).<\/p>\n<p style=\"text-align: justify;\">\u00bfQu\u00e9 pasa si Per\u00fa empata con\u00a0Argentina? Los resultados\u00a0del sub-grupo D arrojan,<\/p>\n<table>\n<caption>Tabla D.2<\/caption>\n<tbody>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\">Probabilidad de clasificaci\u00f3n<\/td>\n<td style=\"height: 26px; text-align: center;\">Si Brasil le gana a Chile<\/td>\n<td style=\"height: 26px; text-align: center;\">Si Brasil empata con Chile<\/td>\n<td style=\"height: 26px; text-align: center;\">Si Brasil pierde con Chile<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"height: 26px; text-align: center;\">4\/9 (7\/9)<\/td>\n<td style=\"height: 26px; text-align: center;\">4\/9 (6\/9)<\/td>\n<td style=\"height: 26px; text-align: center;\">3\/9 (6\/9)<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"height: 26px; text-align: center;\">4\/9 (7\/9)<\/td>\n<td style=\"height: 26px; text-align: center;\">4\/9 (6\/9)<\/td>\n<td style=\"height: 26px; text-align: center;\">3\/9 (6\/9)<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"height: 26px; text-align: center;\">0<\/td>\n<td style=\"height: 26px; text-align: center;\">0<\/td>\n<td style=\"height: 26px; text-align: center;\">0<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"height: 26px; text-align: center;\">\u00a05\/9 (8\/9)<\/td>\n<td style=\"height: 26px; text-align: center;\">8\/9<\/td>\n<td style=\"height: 26px; text-align: center;\">\u00a09\/9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">Tal como se muestra en la Tabla D.2, empatando con Argentina, para el caso espec\u00edfico en que Chile le gana a Ecuador, la probabilidad de clasificaci\u00f3n de Per\u00fa oscila entre 3\/9 y 4\/9. No obstante, sus chances se incrementan\u00a0hasta 7\/9 si obtiene la mejor diferencia de goles, es decir, si mete muchos goles\u00a0a Colombia en su \u00faltimo partido. Por consiguiente, para no depender de muchas variables, Per\u00fa s\u00f3lo debe enfocarse\u00a0en ganarle a Argentina en la Bombonera\u00a0y as\u00ed\u00a0olvidarse de Colombia.<\/p>\n<p style=\"text-align: justify;\"><em>III. <span style=\"text-decoration: underline;\">Argentina s\u00f3lo necesita ganarle a Per\u00fa para estar (casi) clasificado.<\/span><\/em><\/p>\n<p style=\"text-align: justify;\">Al igual que Per\u00fa, las chances de Argentina son muy altas. Consideremos los resultados del sub-grupo A, donde Argentina le gana a Per\u00fa y Chile le gana a Ecuador,<\/p>\n<table>\n<caption>Tabla A.2<\/caption>\n<tbody>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\">\u00a0Probabilidad de clasificaci\u00f3n<\/td>\n<td style=\"height: 26px; text-align: center;\">Si Brasil le gana a Chile<\/td>\n<td style=\"height: 26px; text-align: center;\">Si Brasil empata con Chile<\/td>\n<td style=\"height: 26px; text-align: center;\">Si Brasil pierde con Chile<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center; height: 26px;\">9\/9<\/td>\n<td style=\"text-align: center; height: 26px;\">8\/9 (9\/9)<\/td>\n<td style=\"text-align: center; height: 26px;\">8\/9 (9\/9)<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center; height: 26px;\">3\/9<\/td>\n<td style=\"text-align: center; height: 26px;\">0\u00a0(3\/9)<\/td>\n<td style=\"text-align: center; height: 26px;\">0 (1\/9)<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center; height: 26px;\">0<\/td>\n<td style=\"text-align: center; height: 26px;\">0<\/td>\n<td style=\"text-align: center; height: 26px;\">0<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"height: 26px; text-align: center;\">6\/9<\/td>\n<td style=\"height: 26px; text-align: center;\">6\/9 (9\/9)<\/td>\n<td style=\"height: 26px; text-align: center;\">\u00a09\/9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">En este caso, as\u00ed\u00a0Chile le gane a Brasil, la probabilidad\u00a0de clasificar de Argentina oscila entre\u00a08\/9 y 9\/9. Cabe resaltar que el perdedor del duelo Argentina vs Per\u00fa reduce sus chances de clasificar hasta un m\u00e1ximo de 3\/9 (ver Tablas A.2 y G.2). Por tanto, podemos concluir que este duelo es un partido trascendental donde el ganador,\u00a0sin importar lo que ocurra en los otros\u00a0partidos, sin importar que pierda en la \u00faltima fecha, est\u00e1 pr\u00e1cticamente clasificado&#8230; y el perdedor no tendr\u00e1 otra que disputar el \u00faltimo cupo con Chile (si es que vence a Ecuador).<\/p>\n<p style=\"text-align: justify;\"><em>IV.\u00a0<span style=\"text-decoration: underline;\">Chile depende\u00a0de sus goles<\/span><\/em><\/p>\n<p style=\"text-align: justify;\">Como se aprecia en las Tablas mostradas anteriormente (A.2, D.2, G.2), si Chile golea a Ecuador su probabilidad de clasificaci\u00f3n aumenta considerablemente y no importa mucho el resultado de\u00a0Argentina\u00a0vs Per\u00fa, porque independientemente de este, su probabilidad de clasificaci\u00f3n se ubica\u00a0por encima de uno o los dos equipos.<\/p>\n<p style=\"text-align: justify;\"><em>V.\u00a0<span style=\"text-decoration: underline;\">Ecuador est\u00e1\u00a0al filo del abismo<\/span><\/em><\/p>\n<p style=\"text-align: justify;\">Ecuador puede sobrevivir gan\u00e1ndole a Chile. Al hacerlo, su probabilidad de clasificaci\u00f3n\u00a0puede llegar a 3\/9 = 33.3%. Lo curioso es que si empata tambi\u00e9n tiene chances de hacerlo, pero debe esperar que Per\u00fa le gane a Argentina y en su \u00faltima fecha debe golear (ver Tabla H.1 en la <a href=\"http:\/\/www.cientificos.pe\/index.php\/2017\/10\/07\/clasificatorias-al-mundial-rusia-2018-una-introduccion-a-la-teoria-de-probabilidad\/4\/\">informaci\u00f3n suplementaria<\/a>).\u00a0Si pierde en Santiago quedar\u00e1 eliminado y le dir\u00e1 adi\u00f3s al mundial.<\/p>\n<p style=\"text-align: justify;\">Respondamos ahora las siguientes preguntas:<\/p>\n<ol>\n<li style=\"text-align: justify;\"><strong><em><span style=\"text-decoration: underline;\">\u00bfQu\u00e9 pasa si Colombia empata con Paraguay?<\/span><\/em><\/strong><\/li>\n<\/ol>\n<p style=\"text-align: justify;\">El puntaje de repechaje oscila entre 24 y 29 puntos (en la siguiente pregunta detallamos estos n\u00fameros), lo que demuestra que Colombia ganando a Paraguay est\u00e1 clasificado. En caso de empate\u00a0Colombia har\u00eda 27 puntos (perdiendo con Per\u00fa en la \u00faltima fecha) y Paraguay llegar\u00eda a 25 (gan\u00e1ndole a Venezuela en la \u00faltima fecha). Dentro de todas las combinaciones mostradas en el anexo, el puntaje m\u00e1s alto del &#8220;mejor\u00a0eliminado&#8221; es de 28 puntos, pero s\u00f3lo ocurre una vez entre las 243 posibilidades. Se da\u00a0cuando Argentina y Per\u00fa empatan en la pen\u00faltima fecha \u00a0y todos ganan (menos Ecuador)\u00a0en la \u00faltima fecha. Si esto no se cumple, Colombia estar\u00eda casi\u00a0clasificado, y digo casi\u00a0porque existen 20 combinaciones de las 243 posibles en las cuales el mejor eliminado\u00a0obtiene 27 puntos, los mismos puntos que Colombia. Por tanto, la clasificaci\u00f3n depender\u00e1 de la diferencia de goles y para suerte de los <em>parceros<\/em>\u00a0ellos llegan bien en ese aspecto al tener una cifra superior a la de sus rivales. Consecuentemente,\u00a0la probabilidad de clasificaci\u00f3n de Colombia es muy alta as\u00ed pierda con Per\u00fa y empate con Paraguay.<\/p>\n<p style=\"text-align: justify;\">Paraguay por su parte, empatando con Colombia y ganando a Venezuela llegar\u00eda a 25 puntos como m\u00e1ximo, con estos podr\u00eda\u00a0luchar por la clasificaci\u00f3n. No obstante, recordemos que Paraguay tiene una diferencia de goles de -6. Para disputar un puesto con ese puntaje debe golear 7-0\u00a0a Venezuela. Algo dif\u00edcil de imaginar. Lo m\u00e1s asequible es pensar en la probabilidad que tiene Paraguay de alcanzar el cupo de repechaje directamente, es decir, ver en cuantos casos el cupo se alcanza con 24 puntos para as\u00ed poder superarlo con sus 25 puntos dables. Esto nos lleva a responder antes la siguiente pregunta.<\/p>\n<p style=\"text-align: justify;\">2<em>.\u00a0<strong><span style=\"text-decoration: underline;\">\u00bfCu\u00e1l es el puntaje de repechaje m\u00e1s probable?<\/span><\/strong><\/em><\/p>\n<p style=\"text-align: justify;\">Para esto emplearemos el diagrama del \u00e1rbol. Existen 9 sub-grupos (de la A a la I) y en cada uno tenemos las siguientes probabilidades para los puntajes de repechaje (ver Tablas A.3, B.3, C.3, D.3, E.3, F.3, G.3, H.3 e I.3 en la <a href=\"http:\/\/www.cientificos.pe\/index.php\/2017\/10\/07\/clasificatorias-al-mundial-rusia-2018-una-introduccion-a-la-teoria-de-probabilidad\/4\/\">informaci\u00f3n suplementaria<\/a>):<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" class=\"aligncenter wp-image-2068\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tree1-663x1024.png\" alt=\"\" width=\"340\" height=\"525\" srcset=\"https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tree1-663x1024.png 663w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tree1-194x300.png 194w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tree1-768x1187.png 768w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tree1-696x1075.png 696w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tree1-1068x1650.png 1068w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tree1-272x420.png 272w, https:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/tree1.png 1559w\" sizes=\"(max-width: 340px) 100vw, 340px\" \/>Por ejemplo, P(29) indica la probabilidad de obtener 29 puntos en el puesto de repechaje.<\/p>\n<p style=\"text-align: center;\">\u00bfCu\u00e1l es la probabilidad de obtener, a trav\u00e9s de A, 29 puntos en el puesto de repechaje?<br \/>\n<strong>P(A \u2229 29)=P(A) x P(29\/A) = 1\/9 x 3\/27 = 3\/243 = 1.2%.<\/strong><\/p>\n<p style=\"text-align: justify;\">Esto se conoce como una probabilidad condicionada porque queremos hallar un valor condicion\u00e1ndolo a que salga por una de las ramas del \u00e1rbol. Su resultado viene dado por la probabilidad de obtener A multiplicado por la probabilidad de obtener 29 puntos en A. Se suele denotar\u00a0P(A \u2229 29). Entonces, la probabilidad total de obtener 29 a trav\u00e9s de todas las ramas vendr\u00eda\u00a0a ser la suma de cada una de ellas, i.e., P(29) =\u00a0P(A\u00a0\u2229 29) + P(B \u2229 29) + P(C \u2229 29) + P(D \u2229 29) + P(E \u2229 29) + P(F \u2229 29) + P(G \u2229 29) + P(H \u2229 29) + P(I \u2229 29). Haciendo esto para todos los valores obtenemos:<\/p>\n<p style=\"text-align: center;\">P(29) = 6\/243<br \/>\nP(28) = 19\/243<br \/>\nP(27) = 85\/243<br \/>\nP(26) = 75\/243<br \/>\nP(25) = 48\/243<br \/>\nP(24) = 10\/243<\/p>\n<p style=\"text-align: justify;\">Por ende, <strong>lo m\u00e1s probable\u00a0es que el 5to puesto en las Clasificatorias obtenga 26 o 27 puntos<\/strong>, i.e., P(26) = 75\/243 = 30.9% y P(27) = 85\/243 = 35%. De aqu\u00ed\u00a0podemos culminar la respuesta\u00a0anterior. Dijimos que a Paraguay, m\u00e1s que meter 7 goles a Venezuela le conviene alcanzar el cupo de repechaje directamente. Es decir, las chances de Paraguay se reducen a P(24) = 10\/243 = 4%.\u00a0Una probabilidad tan baja que es mejor aceptar la realidad de decirle adi\u00f3s al mundial. Por lo expuesto,\u00a0<strong>un empate entre Colombia y Paraguay no afecta en gran medida los resultados mostrados en este art\u00edculo<\/strong>.<br \/>\nEn un inicio dijimos que Uruguay estar\u00eda clasificado haciendo un punto en sus dos \u00faltimos partidos. Si esto ocurre Uruguay llegar\u00eda a 28 puntos con una diferencia de goles muy superior a los dem\u00e1s. Por consiguiente, vemos que\u00a0su probabilidad de quedar eliminado es de\u00a0P(29) = 6\/243 = 2.5%. Lo curioso es que para que esto ocurra Chile debe ganarle a Brasil. Por tanto, sacar un punto en dos partidos no deber\u00eda causar ninguna preocupaci\u00f3n a los uruguayos.<\/p>\n<p style=\"text-align: justify;\"><span style=\"text-decoration: underline;\">3<i>.\u00a0<\/i><\/span><strong style=\"font-style: italic;\"><span style=\"text-decoration: underline;\">\u00bfQui\u00e9nes ser\u00e1n los 5 clasificados?<\/span><\/strong><\/p>\n<p style=\"text-align: justify;\">Las matem\u00e1ticas indican que Argentina, Chile y Per\u00fa son\u00a0los candidatos a pelear los cupos que faltan. \u00bfQui\u00e9n llevar\u00e1 sus c\u00e1nticos al mundial? \u00bfCantar\u00e1 Chile, &#8220;prep\u00e1rate Rusia que aqu\u00ed vamos por m\u00e1s&#8221;? O Per\u00fa gritar\u00e1, &#8220;porque yo creo en ti, \u00a1vamos vamos Per\u00fa!&#8221; O ser\u00e1 Argentina quien dir\u00e1, &#8220;esta barra quilombera no te deja de alentar.&#8221; La\u00a0probabilidad total que tiene cada equipo de clasificar (antes de jugarse las dos \u00faltimas fechas) es,<\/p>\n<table>\n<caption>Probabilidad de clasificar entre los 5 primeros<\/caption>\n<tbody>\n<tr>\n<td style=\"text-align: center;\">Con la mejor diferencia\u00a0de goles<\/td>\n<td style=\"text-align: center;\">Con la peor diferencia de goles<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">\n<h4>P(<img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>) =\u00a0190\/243 = \u00a078.2%<\/h4>\n<h4>P(<img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>) =\u00a0184\/243 = \u00a075.7%<\/h4>\n<h5>P(<img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>) =\u00a0144\/243 = 59.3%<\/h5>\n<h6>P(<img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>) = 29\/243 = 11.9%<\/h6>\n<\/td>\n<td style=\"text-align: center;\">\n<h4>\u00a0P(<img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>) =\u00a0153\/243 = 62.9%<\/h4>\n<h4>\u00a0P(<img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>) =\u00a0151\/243 = 62.1%<\/h4>\n<h5>\u00a0 \u00a0 \u00a0P(<img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>) =\u00a0100\/243 = 41.2%<\/h5>\n<h6>P(<img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>) = 17\/243 = 6.9%<\/h6>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">El an\u00e1lisis es similar al diagrama del \u00e1rbol desarrollado previamente, aqu\u00ed s\u00f3lo mostramos los resultados por simplicidad (basados en los datos de las Tablas A.2, B.2, C.2, D.2, E.2, F.2, G.2, H.2, I.2\u00a0en la <a href=\"http:\/\/www.cientificos.pe\/index.php\/2017\/10\/07\/clasificatorias-al-mundial-rusia-2018-una-introduccion-a-la-teoria-de-probabilidad\/4\/\">informaci\u00f3n suplementaria<\/a>). Lo interesante es que a pesar que Argentina y Per\u00fa tienen el mismo puntaje antes de jugar sus partidos, al culminarlos, la probabilidad de clasificaci\u00f3n de Per\u00fa es mayor. Esto se explica porque Argentina juega con rivales directos en ambas fechas, mientras que Per\u00fa en la \u00faltima fecha lo hace con un equipo &#8220;clasificado.&#8221; Otro detalle interesante es ver c\u00f3mo afecta tener la mejor diferencia de goles. Chile resulta ser el m\u00e1s\u00a0beneficiado, incrementando su probabilidad de clasificaci\u00f3n en 18.1 puntos porcentuales s\u00f3lo por meter m\u00e1s goles. En contraste, Per\u00fa y Argentina incrementan su probabilidad de clasificaci\u00f3n en 15.3 y 13.6 puntos porcentuales, respectivamente. Por tanto, para hacer uso de esta ventaja, los chilenos deber\u00edan enfocarse en golear a Ecuador en casa. De todas formas Chile tiene la probabilidad m\u00e1s baja de clasificaci\u00f3n (excluyendo a Ecuador), y eso que estamos incluyendo el caso en que le pueda ganar a Brasil. <em><strong>Si consideramos que estos resultados son determinantes, podemos concluir que los 5 equipos clasificados ser\u00e1n: Brasil, Uruguay, Colombia, Per\u00fa y Argentina<\/strong>.<\/em> La pregunta pendiente ser\u00eda \u00bfqu\u00e9 equipo clasifica directamente al mundial? \u00bfPer\u00fa o Argentina? Realizando un an\u00e1lisis similar al anterior tenemos:<\/p>\n<table>\n<caption>Probabilidad de coger el cupo directo al mundial<\/caption>\n<tbody>\n<tr>\n<td style=\"text-align: center;\">Con la mejor diferencia\u00a0de goles<\/td>\n<td style=\"text-align: center;\">Con la peor diferencia de goles<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">P(<img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>) =\u00a0121\/243 = \u00a049.8%<br \/>\nP(<img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>) =\u00a0121\/243 = \u00a049.8%<\/td>\n<td style=\"text-align: center;\">P(<img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>) = 83\/243 = 34.2%<br \/>\nP(<img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>) = 81\/243 = 33.3%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><strong>Argentina obtiene una probabilidad ligeramente superior de clasificar directamente al Mundial<\/strong>. La raz\u00f3n es la misma que el caso anterior y toma relevancia en el sub-grupo F (ver <a href=\"http:\/\/www.cientificos.pe\/index.php\/2017\/10\/07\/clasificatorias-al-mundial-rusia-2018-una-introduccion-a-la-teoria-de-probabilidad\/4\/\">informaci\u00f3n suplementaria<\/a>). Si esta ligera ventaja fuese un factor determinante, <strong>Per\u00fa terminar\u00eda enfrentando a Nueva Zelanda el 11 de noviembre<\/strong>.\u00a0Los dirigidos por Gareca se subir\u00edan al avi\u00f3n y har\u00edan el viaje m\u00e1s bizarro de sus vidas. Cruzar\u00edan el Pac\u00edfico en un viaje que el reloj\u00a0desde Santiago les dir\u00eda\u00a0que son 12 pero tardar\u00edan 27 horas en llegar\u00a0y la vuelta desde Auckland la har\u00edan con el tiempo transcurriendo\u00a0con valores negativos, pero eso no les importar\u00eda&#8230; porque Espa\u00f1a 82&#8242; finalmente podr\u00eda quedar atr\u00e1s.<\/p>\n<p style=\"text-align: justify;\">Christian Ortiz, PhD.<\/p>\n<p style=\"text-align: center;\"><!--nextpage--><\/p>\n<h4 style=\"text-align: justify;\"><span style=\"font-family: verdana, geneva, sans-serif; font-size: 12pt;\"><strong>9 de Setiembre del 2017<\/strong><\/span><\/h4>\n<h4 style=\"text-align: justify;\"><span style=\"text-decoration: underline;\">Informaci\u00f3n suplementaria (1ra parte del art\u00edculo)<\/span><\/h4>\n<p>Aqu\u00ed detallamos las 243 formas en que puede quedar la tabla de posiciones al culminar las 2 \u00faltimas fechas. En la pen\u00faltima fecha hay 9 posibles configuraciones, las cuales son,<\/p>\n<p style=\"text-align: center;\">A) Chile vs Ecuador (GP) &#8211; Argentina vs Peru (GP)<br \/>\nB) Chile vs Ecuador (EE) &#8211; Argentina vs Peru (GP)<br \/>\nC) Chile vs Ecuador (PG) &#8211; Argentina vs Peru (GP)<br \/>\nD) Chile vs Ecuador (GP) &#8211; Argentina vs Peru (EE)<br \/>\nE) Chile vs Ecuador (EE) &#8211; Argentina vs Peru (EE)<br \/>\nF) Chile vs Ecuador (PG) &#8211; Argentina vs Peru (EE)<br \/>\nG) Chile vs Ecuador (GP) &#8211; Argentina vs Peru (PG)<br \/>\nH) Chile vs Ecuador (EE) &#8211; Argentina vs Peru (PG)<br \/>\nI) Chile vs Ecuador (PG) &#8211; Argentina vs Peru (PG)<\/p>\n<p style=\"text-align: justify;\"><strong>(EE)<\/strong> significa que ambos equipos empatan. <strong>(GP)<\/strong> significa que el equipo local gana y el visitante pierde. <strong>(PG)<\/strong> significa que el equipo local pierde y el visitante gana. Cada uno de estos 9 sub-grupos est\u00e1 etiquetado con letras de la A a la I. En cada sub-grupo hay 27 posibles configuraciones que puede brindar la \u00faltima fecha. A continuaci\u00f3n mostramos cada una de ellas.<\/p>\n<ul>\n<li style=\"text-align: justify;\">En las Tablas A.1, B.1, C.1, D.1, E.1, F.1, G.1, H.1, I.1, mostramos las tablas de posiciones. Para efectos de visualizaci\u00f3n hemos agrupado 9 tablas de posiciones por cada sub-grupo donde Chile toma 3 valores dependiendo del partido contra Brasil (dando en total 27 posibles formas en las que puede finalizar el torneo para un determinado sub-grupo). El primer puesto clasifica directamente al mundial, el segundo puesto va al repechaje.<\/li>\n<li style=\"text-align: justify;\">En las Tablas A.2, B.2, C.2, D.2, E.2, F.2, G.2, H.2, I.2, mostramos\u00a0la probabilidad de clasificaci\u00f3n de cada equipo despu\u00e9s de conocer el resultado del partido Brasil vs Chile. N\u00f3tese que por clasificaci\u00f3n incluimos tambi\u00e9n el puesto de repechaje. En par\u00e9ntesis aparece la probabilidad asumiendo que el\u00a0equipo tiene la mejor diferencia de goles.<\/li>\n<li style=\"text-align: justify;\">En las Tablas A.3, B.3, C.3, D.3, E.3, F.3, G.3, H.3, I.3, mostramos\u00a0la probabilidad del puntaje m\u00ednimo en repechaje. e.g., P(27) indica la probabilidad de alcanzar el puesto de repechaje (2do puesto aqu\u00ed) con 27 puntos.<\/li>\n<\/ul>\n<p style=\"text-align: center;\"><strong><span style=\"text-decoration: underline;\">A) Chile vs Ecuador (GP) &#8211; Argentina vs Peru (GP)<\/span><\/strong><\/p>\n<table>\n<caption>Tabla A.1<\/caption>\n<tbody>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 29 (27) (26)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 20<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 29 (27) (26)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 21<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 29 (27) (26)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 24<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 27 (26) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 20<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 27 (26) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 21<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 27 (26) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 24<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0=30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 20<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 21<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 26 (27) (29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 24<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla A.2<\/caption>\n<tbody>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\">\u00a0Probabilidad de clasificaci\u00f3n<\/td>\n<td style=\"height: 26px; text-align: center;\">Si Brasil le gana a Chile<\/td>\n<td style=\"height: 26px; text-align: center;\">Si Brasil empata con Chile<\/td>\n<td style=\"height: 26px; text-align: center;\">Si Brasil pierde con Chile<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center; height: 26px;\">9\/9<\/td>\n<td style=\"text-align: center; height: 26px;\">8\/9 (9\/9)<\/td>\n<td style=\"text-align: center; height: 26px;\">8\/9 (9\/9)<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center; height: 26px;\">3\/9<\/td>\n<td style=\"text-align: center; height: 26px;\">0\u00a0(3\/9)<\/td>\n<td style=\"text-align: center; height: 26px;\">0 (1\/9)<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center; height: 26px;\">0<\/td>\n<td style=\"text-align: center; height: 26px;\">0<\/td>\n<td style=\"text-align: center; height: 26px;\">0<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"height: 26px; text-align: center;\">6\/9<\/td>\n<td style=\"height: 26px; text-align: center;\">6\/9 (9\/9)<\/td>\n<td style=\"height: 26px; text-align: center;\">\u00a09\/9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla A.3<\/caption>\n<tbody>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">Probabilidad Puntaje M\u00ednimo de Repechaje:<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(29) = 3\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(28) = 3\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(27) = 15\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(26) = 6\/27<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<p style=\"text-align: center;\"><strong><span style=\"text-decoration: underline;\">B) Chile vs Ecuador (EE) &#8211; Argentina vs Peru (GP)<\/span><\/strong><\/p>\n<table>\n<caption>Tabla B.1<\/caption>\n<tbody>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 27 (25) (24)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 21<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 27 (25) (24)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 22<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 27 (25) (24)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 24<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 25 (27) (24)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 21<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 25 (27) (24)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 22<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 25 (27) (24)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 24<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 24 (25) (27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 21<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 24 (25) (27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 22<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 24 (25) (27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 24<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla B.2<\/caption>\n<tbody>\n<tr>\n<td style=\"text-align: center;\">\u00a0Probabilidad de clasificaci\u00f3n<\/td>\n<td style=\"text-align: center;\">Si Brasil le gana a Chile<\/td>\n<td style=\"text-align: center;\">Si Brasil empata con Chile<\/td>\n<td style=\"text-align: center;\">Si Brasil pierde con Chile<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">9\/9<\/td>\n<td style=\"text-align: center;\">9\/9<\/td>\n<td style=\"text-align: center;\">8\/9 (9\/9)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">6\/9 (9\/9)<\/td>\n<td style=\"text-align: center;\">3\/9 (6\/9)<\/td>\n<td style=\"text-align: center;\">0 (3\/9)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">0 (3\/9)<\/td>\n<td style=\"text-align: center;\">3\/9 (6\/9)<\/td>\n<td style=\"text-align: center;\">\u00a06\/9 (9\/9)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla B.3<\/caption>\n<tbody>\n<tr>\n<td style=\"text-align: center;\">Probabilidad Puntaje M\u00ednimo de Repechaje:<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">P(27) = 15\/27<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">P(25) = 9\/27<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">P(24) = 3\/27<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<p style=\"text-align: center;\"><strong><span style=\"text-decoration: underline;\">C) Chile vs Ecuador (PG) &#8211; Argentina vs Peru (GP)<\/span><\/strong><\/p>\n<table>\n<caption>Tabla C.1<\/caption>\n<tbody>\n<tr>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052 aligncenter\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 26 (23)(24)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 23<\/li>\n<\/ol>\n<\/td>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 26(23)(24)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 24<\/li>\n<\/ol>\n<\/td>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26(23)(24)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 24<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 24 (23)(26)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 23<\/li>\n<\/ol>\n<\/td>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 24(23)(26)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 24<\/li>\n<\/ol>\n<\/td>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>\u00a0= 24(23)(26)<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 23<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 23 (24)(26)<\/li>\n<\/ol>\n<\/td>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 23(24)(26)<\/li>\n<\/ol>\n<\/td>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 23(24)(26)<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla C.2<\/caption>\n<tbody>\n<tr style=\"height: 52px;\">\n<td style=\"text-align: center; height: 52px;\">\u00a0Probabilidad de clasificaci\u00f3n<\/td>\n<td style=\"text-align: center; height: 52px;\">Si Brasil le gana a Chile<\/td>\n<td style=\"text-align: center; height: 52px;\">Si Brasil empata con Chile<\/td>\n<td style=\"text-align: center; height: 52px;\">Si Brasil pierde con Chile<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\"><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center; height: 26px;\">9\/9<\/td>\n<td style=\"text-align: center; height: 26px;\">9\/9<\/td>\n<td style=\"text-align: center; height: 26px;\">9\/9<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\"><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center; height: 26px;\">6\/9 (7\/9)<\/td>\n<td style=\"text-align: center; height: 26px;\">5\/9 (7\/9)<\/td>\n<td style=\"text-align: center; height: 26px;\">3\/9<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\"><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center; height: 26px;\">2\/9 (3\/9)<\/td>\n<td style=\"text-align: center; height: 26px;\">2\/9 (3\/9)<\/td>\n<td style=\"text-align: center; height: 26px;\">0 (2\/9)<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\"><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center; height: 26px;\">0<\/td>\n<td style=\"text-align: center; height: 26px;\">0 (2\/9)<\/td>\n<td style=\"text-align: center; height: 26px;\">\u00a04\/9 (6\/9)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla C.3<\/caption>\n<tbody>\n<tr>\n<td style=\"text-align: center;\">Probabilidad Puntaje M\u00ednimo de Repechaje:<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">P(27) = 9\/27<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">P(26) = 10\/27<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">P(25) = 4\/27<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">P(24) = 4\/27<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<p style=\"text-align: center;\"><strong><span style=\"text-decoration: underline;\">D) Chile vs Ecuador (GP) &#8211; Argentina vs Peru (EE)<\/span><\/strong><\/p>\n<table>\n<caption>Tabla D.1<\/caption>\n<tbody>\n<tr>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=29 (27)(26)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 20<\/li>\n<\/ol>\n<\/td>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=29 (27)(26)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 21<\/li>\n<\/ol>\n<\/td>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 29 (27)(26)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 23<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 27 (29)(26)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>= 20<\/li>\n<\/ol>\n<\/td>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27(29)(26)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=21<\/li>\n<\/ol>\n<\/td>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27(29)(26)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26 (27)(29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=20<\/li>\n<\/ol>\n<\/td>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26(27)(29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=21<\/li>\n<\/ol>\n<\/td>\n<td>\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26(27)(29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla D.2<\/caption>\n<tbody>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\">\u00a0Probabilidad de clasificaci\u00f3n<\/td>\n<td style=\"height: 26px; text-align: center;\">Si Brasil le gana a Chile<\/td>\n<td style=\"height: 26px; text-align: center;\">Si Brasil empata con Chile<\/td>\n<td style=\"height: 26px; text-align: center;\">Si Brasil pierde con Chile<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"height: 26px; text-align: center;\">4\/9 (7\/9)<\/td>\n<td style=\"height: 26px; text-align: center;\">4\/9 (6\/9)<\/td>\n<td style=\"height: 26px; text-align: center;\">3\/9 (6\/9)<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"height: 26px; text-align: center;\">4\/9 (7\/9)<\/td>\n<td style=\"height: 26px; text-align: center;\">4\/9 (6\/9)<\/td>\n<td style=\"height: 26px; text-align: center;\">3\/9 (6\/9)<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"height: 26px; text-align: center;\">0<\/td>\n<td style=\"height: 26px; text-align: center;\">0<\/td>\n<td style=\"height: 26px; text-align: center;\">0<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"height: 26px; text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"height: 26px; text-align: center;\">\u00a05\/9 (8\/9)<\/td>\n<td style=\"height: 26px; text-align: center;\">8\/9<\/td>\n<td style=\"height: 26px; text-align: center;\">\u00a09\/9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla D.3<\/caption>\n<tbody>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">Probabilidad Puntaje M\u00ednimo de Repechaje<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(28) = 7\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(27) = 4\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(26) = 13\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(25) = 3\/27<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<p style=\"text-align: center;\"><strong><span style=\"text-decoration: underline;\">E<\/span><\/strong><strong><span style=\"text-decoration: underline;\">) Chile vs Ecuador (EE) &#8211; Argentina vs Peru (EE)<\/span><\/strong><\/p>\n<table>\n<caption>Tabla E.1<\/caption>\n<tbody>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27 (25)(24)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=21<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27(25)(24)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=22<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27(25)(24)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25 (24)(27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=21<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25(24)(27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=22<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25(24)(27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24(25)(27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=21<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24(25)(27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=22<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24(25)(27)<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla E.2<\/caption>\n<tbody>\n<tr>\n<td style=\"text-align: center;\">\u00a0Probabilidad de clasificaci\u00f3n<\/td>\n<td style=\"text-align: center;\">Si Brasil le gana a Chile<\/td>\n<td style=\"text-align: center;\">Si Brasil empata con Chile<\/td>\n<td style=\"text-align: center;\">Si Brasil pierde con Chile<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">9\/9<\/td>\n<td style=\"text-align: center;\">6\/9 (9\/9)<\/td>\n<td style=\"text-align: center;\">4\/9 (6\/9)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">9\/9<\/td>\n<td style=\"text-align: center;\">6\/9 (9\/9)<\/td>\n<td style=\"text-align: center;\">4\/9 (6\/9)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">0 (5\/9)<\/td>\n<td style=\"text-align: center;\">\u00a08\/9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla E.3<\/caption>\n<tbody>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">Probabilidad Puntaje M\u00ednimo de Repechaje<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(28) = 3\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(27) = 4\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(26) = 9\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(25) = 11\/27<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<p style=\"text-align: center;\"><strong><span style=\"text-decoration: underline;\">F) Chile vs Ecuador (PG) &#8211; Argentina vs Peru (EE)<\/span><\/strong><\/p>\n<table>\n<caption>Tabla F.1<\/caption>\n<tbody>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26(24)(23)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26(24)(23)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26(24)(23)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24 (23)(26)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24(23)(26)<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24(23)(26)<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23(24)(26)<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23(24)(26)<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23(24)(26)<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla F.2<\/caption>\n<tbody>\n<tr>\n<td style=\"text-align: center;\">\u00a0Probabilidad de clasificaci\u00f3n<\/td>\n<td style=\"text-align: center;\">Si Brasil le gana a Chile<\/td>\n<td style=\"text-align: center;\">Si Brasil empata con Chile<\/td>\n<td style=\"text-align: center;\">Si Brasil pierde con Chile<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a06\/9 (7\/9)<\/td>\n<td style=\"text-align: center;\">\u00a06\/9 (7\/9)<\/td>\n<td style=\"text-align: center;\">\u00a04\/9 (6\/9)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a08\/9 (9\/9)<\/td>\n<td style=\"text-align: center;\">\u00a08\/9 (9\/9)<\/td>\n<td style=\"text-align: center;\">\u00a03\/9 (6\/9)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a03\/9<\/td>\n<td style=\"text-align: center;\">\u00a03\/9<\/td>\n<td style=\"text-align: center;\">\u00a01\/9 (3\/9)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a00<\/td>\n<td style=\"text-align: center;\">\u00a00<\/td>\n<td style=\"text-align: center;\">\u00a03\/9 (8\/9)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla F.3<\/caption>\n<tbody>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">Probabilidad Puntaje M\u00ednimo de Repechaje<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(28) = 3\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(26) = 18\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(25) = 6\/27<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<p style=\"text-align: center;\"><strong><span style=\"text-decoration: underline;\">G) Chile vs Ecuador (GP) &#8211; Argentina vs Peru (PG)<\/span><\/strong><\/p>\n<table>\n<caption>Tabla G.1<\/caption>\n<tbody>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 29 (26)(27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=20<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/> = 29(26)(27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=21<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=29(26)(27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27(26)(29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=20<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27(26)(29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=21<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27(26)(29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26(27)(29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=20<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26(27)(29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=21<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26(27)(29)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla G.2<\/caption>\n<tbody>\n<tr>\n<td style=\"text-align: center;\">\u00a0Probabilidad de clasificaci\u00f3n<\/td>\n<td style=\"text-align: center;\">Si Brasil le gana a Chile<\/td>\n<td style=\"text-align: center;\">Si Brasil empata con Chile<\/td>\n<td style=\"text-align: center;\">Si Brasil pierde con Chile<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a03\/9<\/td>\n<td style=\"text-align: center;\">\u00a00 (3\/9)<\/td>\n<td style=\"text-align: center;\">\u00a00 (1\/9)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a09\/9<\/td>\n<td style=\"text-align: center;\">\u00a08\/9 (9\/9)<\/td>\n<td style=\"text-align: center;\">\u00a0\u00a08\/9 (9\/9)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a00<\/td>\n<td style=\"text-align: center;\">\u00a00<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a06\/9<\/td>\n<td style=\"text-align: center;\">\u00a06\/9 (9\/9)<\/td>\n<td style=\"text-align: center;\">\u00a09\/9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla G.3<\/caption>\n<tbody>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">Probabilidad Puntaje M\u00ednimo de Repechaje<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(29) = 3\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(28) = 3\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(27) =14\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(26) = 7\/27<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<p style=\"text-align: center;\"><strong><span style=\"text-decoration: underline;\">H) Chile vs Ecuador (EE) &#8211; Argentina vs Peru (PG)<\/span><\/strong><\/p>\n<table>\n<caption>Tabla H.1<\/caption>\n<tbody>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27 (24)(25)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=21<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27(24)(25)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=22<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27(24)(25)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25(24)(27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=21<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25(24)(27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=22<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25(24)(27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24(25)(27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=21<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24(25)(27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=22<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24(25)(27)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla H.2<\/caption>\n<tbody>\n<tr>\n<td style=\"text-align: center;\">Probabilidad de clasificaci\u00f3n<\/td>\n<td style=\"text-align: center;\">Si Brasil le gana a Chile<\/td>\n<td style=\"text-align: center;\">Si Brasil empata con Chile<\/td>\n<td style=\"text-align: center;\">Si Brasil pierde con Chile<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a06\/9 (9\/9)<\/td>\n<td style=\"text-align: center;\">\u00a03\/9 (6\/9)<\/td>\n<td style=\"text-align: center;\">\u00a00 (3\/9)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a09\/9<\/td>\n<td style=\"text-align: center;\">\u00a09\/9<\/td>\n<td style=\"text-align: center;\">\u00a08\/9 (9\/9)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a00 (3\/9)<\/td>\n<td style=\"text-align: center;\">\u00a00<\/td>\n<td style=\"text-align: center;\">\u00a00<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a00 (3\/9)<\/td>\n<td style=\"text-align: center;\">\u00a03\/9 (6\/9)<\/td>\n<td style=\"text-align: center;\">\u00a06\/9 (9\/9)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla H.3<\/caption>\n<tbody>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">Probabilidad Puntaje M\u00ednimo de Repechaje<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(27) = 15\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(25) = 9\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(24) = 3\/27<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<p style=\"text-align: center;\"><strong><span style=\"text-decoration: underline;\">I) Chile vs Ecuador (PG) &#8211; Argentina vs Peru (PG)<\/span><\/strong><\/p>\n<table>\n<caption>Tabla I.1<\/caption>\n<tbody>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26 (23)(24)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26(23)(24)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26(23)(24)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24(23)(26)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24(23)(26)<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=28<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24(23)(26)<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=27<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23(26)(24)<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=25<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23(26)(24)<\/li>\n<\/ol>\n<\/td>\n<td width=\"142\">\n<ol>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/>=30<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/>=26<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/>=24<\/li>\n<li><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/>=23(26)(24)<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla I.2<\/caption>\n<tbody>\n<tr>\n<td style=\"text-align: center;\">\u00a0Probabilidad de clasificaci\u00f3n<\/td>\n<td style=\"text-align: center;\">Si Brasil le gana a Chile<\/td>\n<td style=\"text-align: center;\">Si Brasil empata con Chile<\/td>\n<td style=\"text-align: center;\">Si Brasil pierde con Chile<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2052\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Argentina.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a06\/9<\/td>\n<td style=\"text-align: center;\">\u00a06\/9<\/td>\n<td style=\"text-align: center;\">\u00a03\/9<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2053\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Peru.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a09\/9<\/td>\n<td style=\"text-align: center;\">\u00a09\/9<\/td>\n<td style=\"text-align: center;\">\u00a09\/9<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2051\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Ecuador.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a03\/9<\/td>\n<td style=\"text-align: center;\">\u00a03\/9<\/td>\n<td style=\"text-align: center;\">\u00a00 (3\/9)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><img loading=\"lazy\" class=\"alignnone wp-image-2050\" src=\"http:\/\/www.cientificos.pe\/wp-content\/uploads\/2017\/09\/flag-of-Chile.png\" alt=\"\" width=\"25\" height=\"15\" \/><\/td>\n<td style=\"text-align: center;\">\u00a00<\/td>\n<td style=\"text-align: center;\">\u00a00<\/td>\n<td style=\"text-align: center;\">\u00a03\/9 (6\/9)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<caption>Tabla I.3<\/caption>\n<tbody>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">Probabilidad Puntaje M\u00ednimo de Repechaje<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(27) = 9\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(25) = 6\/27<\/td>\n<\/tr>\n<tr style=\"height: 26px;\">\n<td style=\"text-align: center; height: 26px;\">P(26) = 12\/27<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>15 de Noviembre\u00a0del 2017 Clasificaron Argentina, Colombia y Per\u00fa. Este \u00faltimo clasific\u00f3\u00a0venciendo\u00a0a Nueva Zelanda 2-0 en los partidos de Repechaje. 7 de Octubre del 2017 En la primera parte de este art\u00edculo elaboramos un an\u00e1lisis matem\u00e1tico de los 5 clasificados al mundial de Rusia 2018 antes de jugarse las dos \u00faltimas fechas de las Clasificatorias. [&hellip;]<\/p>\n","protected":false},"author":9,"featured_media":2175,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[142,150,143],"tags":[],"_links":{"self":[{"href":"https:\/\/www.cientificos.pe\/index.php?rest_route=\/wp\/v2\/posts\/2041"}],"collection":[{"href":"https:\/\/www.cientificos.pe\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.cientificos.pe\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.cientificos.pe\/index.php?rest_route=\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/www.cientificos.pe\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2041"}],"version-history":[{"count":113,"href":"https:\/\/www.cientificos.pe\/index.php?rest_route=\/wp\/v2\/posts\/2041\/revisions"}],"predecessor-version":[{"id":2924,"href":"https:\/\/www.cientificos.pe\/index.php?rest_route=\/wp\/v2\/posts\/2041\/revisions\/2924"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.cientificos.pe\/index.php?rest_route=\/wp\/v2\/media\/2175"}],"wp:attachment":[{"href":"https:\/\/www.cientificos.pe\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2041"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cientificos.pe\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2041"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cientificos.pe\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2041"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}