{"id":4342,"date":"2026-01-09T21:53:59","date_gmt":"2026-01-09T21:53:59","guid":{"rendered":"https:\/\/lobosnews.com.ar\/index.php\/2026\/01\/09\/los-dados-que-desafian-la-intuicion-matematica\/"},"modified":"2026-01-10T04:18:42","modified_gmt":"2026-01-10T04:18:42","slug":"los-dados-que-desafian-la-intuicion-matematica","status":"publish","type":"post","link":"https:\/\/lobosnews.com.ar\/index.php\/2026\/01\/09\/los-dados-que-desafian-la-intuicion-matematica\/","title":{"rendered":"Los dados que desaf\u00edan la intuici\u00f3n matem\u00e1tica"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica.jpg\" alt=\"Los dados no transitivos se utilizan en clases de matem\u00e1tica para ense\u00f1ar conceptos de estad\u00edstica y teor\u00eda de juegos (Imagen Ilustrativa Infobae)\" height=\"768\" width=\"1408\"\/><\/p>\n<p>Si algo de <span class=\"waslinkname\"><b>matem\u00e1tica <\/b><\/span>nos qued\u00f3 grabado de la primaria, es una regla b\u00e1sica: si A es mayor que B, y B es mayor que C, entonces A deber\u00eda ser mayor que C. Esta idea tan obvia se llama <b>propiedad transitiva<\/b>.<\/p>\n<p>Sin embargo, en el mundo de la <b>probabilidad<\/b>, esa l\u00f3gica puede romperse. Y para demostrarlo vamos a ver un ejemplo a continuaci\u00f3n:<\/p>\n<p>Imaginemos cuatro dados \u201cespeciales\u201d, cada uno con seis caras, pero con n\u00fameros repetidos:<\/p>\n<ul>\n<li>Dado A: cuatro caras con el n\u00famero 4 y dos con 0<\/li>\n<li>Dado B: seis caras con 3<\/li>\n<li>Dado C: cuatro caras con 2 y dos con 6<\/li>\n<li>Dado D: tres caras con 5 y tres con 1<\/li>\n<\/ul>\n<p>El juego es simple: se lanzan dos dados y gana el que obtenga el n\u00famero m\u00e1s alto.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica-1.jpg\" alt=\"Una paradoja en los juegos desaf\u00eda las reglas que nos ense\u00f1aron en la infancia y pone a prueba el sentido com\u00fan (Imagen Ilustrativa Infobae)\" height=\"768\" width=\"1408\"\/><\/p>\n<p>Sin embargo, el resultado es desconcertante:<\/p>\n<ul>\n<li>A le ganar\u00eda a B en 2 de cada 3 tiradas (\u2248 66,7 %)<\/li>\n<li>B le ganar\u00eda a C en 2 de cada 3 tiradas<\/li>\n<li>C le ganar\u00eda a D en 2 de cada 3 tiradas<\/li>\n<li>D le ganar\u00eda a A en 2 de cada 3 tiradas<\/li>\n<\/ul>\n<p>No hay error: cada comparaci\u00f3n es correcta y repetible. Pero el conjunto forma un c\u00edrculo imposible: <b>A vence a B, B vence a C, C vence a D, y D vence a A.<\/b><\/p>\n<h2>\u00bfQu\u00e9 pas\u00f3 con la propiedad transitiva<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica-2.jpg\" alt=\"La propiedad transitiva de la aritm\u00e9tica no se aplica en la comparaci\u00f3n de variables aleatorias como los dados de Efron (freepik)\" height=\"5332\" width=\"7999\"\/><\/p>\n<p><b>En la aritm\u00e9tica, la propiedad transitiva funciona sin fallas.<\/b><\/p>\n<p>Si 10 es mayor que 5 y 5 es mayor que 2, entonces 10 es mayor que 2. No hay discusi\u00f3n.<\/p>\n<p>Pero en este caso no estamos comparando n\u00fameros fijos, sino<b> variables aleatorias<\/b>. Cada dado tiene una distribuci\u00f3n distinta de resultados posibles, y lo que importa no es el valor promedio, sino la probabilidad de ganar en un enfrentamiento directo.<\/p>\n<p><b>En este contexto, esa relaci\u00f3n no es transitiva.<\/b><\/p>\n<p>Este ejemplo fue propuesto por el estad\u00edstico estadounidense <b>Bradley Efron, uno de los referentes de la estad\u00edstica modern<\/b>a, para mostrar que algunas comparaciones probabil\u00edsticas <b>desaf\u00edan la intuici\u00f3n l\u00f3gica.<\/b><\/p>\n<p>Los llamados dados no transitivos de Efron se utilizan hoy en clases de matem\u00e1tica, estad\u00edstica y teor\u00eda de juegos para ilustrar<b> c\u00f3mo el azar puede producir resultados coherentes, pero contraintuitivos.<\/b><\/p>\n<p><i>*Guido Rimati es profesor de matem\u00e1tica egresado del Instituto Superior Joaqu\u00edn V. Gonzalez, autor del libro \u201cEl lado oculto de la matem\u00e1tica\u201d y creador del canal de divulgaci\u00f3n matem\u00e1tica \u201cRecalculando\u201d<\/i><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Si algo de matem\u00e1tica nos qued\u00f3 grabado de la primaria, es una regla b\u00e1sica: si A es mayor que B, y B es mayor que C, entonces A deber\u00eda ser mayor que C. Esta idea tan obvia se llama propiedad transitiva. Sin embargo, en el mundo de la probabilidad, esa l\u00f3gica puede romperse. Y para&#8230;<\/p>\n","protected":false},"author":1,"featured_media":4347,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[81],"tags":[],"class_list":["post-4342","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-salud"],"magazineBlocksPostFeaturedMedia":{"thumbnail":"https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica-4-150x150.jpg","medium":"https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica-4-300x200.jpg","medium_large":"https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica-4-768x512.jpg","large":"https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica-4-1024x683.jpg","1536x1536":"https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica-4-1536x1024.jpg","2048x2048":"https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica-4-2048x1365.jpg","newsmatic-featured":"https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica-4-820x545.jpg","newsmatic-list":"https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica-4-600x400.jpg","newsmatic-thumb":"https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica-4-300x200.jpg","newsmatic-small":"https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica-4-150x95.jpg","newsmatic-grid":"https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica-4-400x250.jpg"},"magazineBlocksPostAuthor":{"name":"admin","avatar":"https:\/\/secure.gravatar.com\/avatar\/76e419471a2083bc3ceab22a763dbbf9b0c1bd15a6214cf3280e2c2dde4580f9?s=96&d=mm&r=g"},"magazineBlocksPostCommentsNumber":"0","magazineBlocksPostExcerpt":"Si algo de matem\u00e1tica nos qued\u00f3 grabado de la primaria, es una regla b\u00e1sica: si A es mayor que B, y B es mayor que C, entonces A deber\u00eda ser mayor que C. Esta idea tan obvia se llama propiedad transitiva. Sin embargo, en el mundo de la probabilidad, esa l\u00f3gica puede romperse. Y para...","magazineBlocksPostCategories":["Salud"],"magazineBlocksPostViewCount":156,"magazineBlocksPostReadTime":2,"magazine_blocks_featured_image_url":{"full":["https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica-4-scaled.jpg",2560,1706,false],"medium":["https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica-4-300x200.jpg",300,200,true],"thumbnail":["https:\/\/lobosnews.com.ar\/wp-content\/uploads\/2026\/01\/los-dados-que-desafian-la-intuicion-matematica-4-150x150.jpg",150,150,true]},"magazine_blocks_author":{"display_name":"admin","author_link":"https:\/\/lobosnews.com.ar\/index.php\/author\/lobos-news\/"},"magazine_blocks_comment":0,"magazine_blocks_author_image":"https:\/\/secure.gravatar.com\/avatar\/76e419471a2083bc3ceab22a763dbbf9b0c1bd15a6214cf3280e2c2dde4580f9?s=96&d=mm&r=g","magazine_blocks_category":"<a href=\"#\" class=\"category-link category-link-81\">Salud<\/a>","yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Los dados que desaf\u00edan la intuici\u00f3n matem\u00e1tica - Lobos News<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/lobosnews.com.ar\/index.php\/2026\/01\/09\/los-dados-que-desafian-la-intuicion-matematica\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Los dados que desaf\u00edan la intuici\u00f3n matem\u00e1tica - Lobos News\" \/>\n<meta property=\"og:description\" content=\"Si algo de matem\u00e1tica nos qued\u00f3 grabado de la primaria, es una regla b\u00e1sica: si A es mayor que B, y B es mayor que C, entonces A deber\u00eda ser mayor que C. 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