{"id":529,"date":"2011-01-12T21:03:00","date_gmt":"2011-01-13T00:03:00","guid":{"rendered":"http:\/\/scienceblogs.com.br\/hypercubic\/2011\/01\/trielo-solucao\/"},"modified":"2011-01-12T21:03:00","modified_gmt":"2011-01-13T00:03:00","slug":"trielo-solucao","status":"publish","type":"post","link":"https:\/\/www.blogs.unicamp.br\/hypercubic\/2011\/01\/trielo-solucao\/","title":{"rendered":">Trielo: solu\u00e7\u00e3o"},"content":{"rendered":"

><\/p>\n

Senhores, apresento-lhes a seguir solu\u00e7\u00e3o para o trielo, o duelo de tr\u00eas! <\/div>\n
<\/div>\n
Se voc\u00ea queimou um pouco os neur\u00f4nios e conseguiu sobreviver, siga em frente. <\/div>\n
<\/div>\n
Se voc\u00ea ainda n\u00e3o disparou um tiro sequer, d\u00ea uma olhada na enrascada<\/a> em que vai ter que se meter antes de continuar sua leitura.<\/div>\n
<\/div>\n

<\/a><\/p>\n

N\u00e3o atire em ningu\u00e9m. Na verdade, se agir dessa forma, voc\u00ea aumenta as suas chances por atirar no ar.<\/div>\n
<\/div>\n
Voc\u00ea certamente n\u00e3o quer acertar o Sr. Verde \u2014 se voc\u00ea for azarado o bastante para conseguir isso, o Sr. Azul vai te matar na vez dele. Similarmente, se voc\u00ea acertar o Sr. Azul, as chances do Sr. Verde sair vitorioso (e vivo) ser\u00e3o de 6\/7. Essa \u00e9 a soma da s\u00e9rie geom\u00e9trica infinita:<\/div>\n
<\/div>\n
2\/3 + (1\/3)(2\/3)(2\/3) + (1\/3)(2\/3)(1\/3)(2\/3)(2\/3) \u2026<\/span><\/div>\n
<\/div>\n
Mas se voc\u00ea \u201cperder\u201d a sua vez e deixar que os dois se matem, ent\u00e3o voc\u00ea ter\u00e1 o primeiro tiro contra qualquer um dos dois na rodada seguinte. Se o Sr. Verde acerta o Sr. Azul, sua probabilidade de vit\u00f3ria \u00e9 de 3\/7. Se o Sr. Verde errar, o Sr. Azul vai mat\u00e1-lo e sua chance de vit\u00f3ria contra Azul passa a ser de 1\/3.<\/div>\n
<\/div>\n
Assim, surpreendentemente, se voc\u00ea errar deliberadamente seu primeiro tiro, voc\u00ea acumula uma probabilidade total de vit\u00f3ria igual a 25\/63 ou cerca de 40%, o que te deixa em vantagem tanto contra o Sr. Verde (8\/21 ou 38%) quanto contra o Sr. Azul (2\/9 ou 22%).<\/div>\n
<\/div>\n
Fonte: David L. Silverman, Your Move: Logic, Math and Word Puzzles for Enthusiasts<\/i> [Sua Vez: L\u00f3gica, Matem\u00e1tica e Jogos de Palavras para Entusiastas<\/i>], 1971.<\/span><\/div>\n","protected":false},"excerpt":{"rendered":"

> Senhores, apresento-lhes a seguir solu\u00e7\u00e3o para o trielo, o duelo de tr\u00eas! Se voc\u00ea queimou um pouco os neur\u00f4nios e conseguiu sobreviver, siga em frente.  Se voc\u00ea ainda n\u00e3o disparou um tiro sequer, d\u00ea uma olhada na enrascada em que vai ter que se meter antes de continuar sua leitura. N\u00e3o atire em ningu\u00e9m. […]<\/p>\n","protected":false},"author":486,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_eb_attr":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"material-hide-sections":[],"pgc_sgb_lightbox_settings":"","_vp_format_video_url":"","_vp_image_focal_point":[],"footnotes":""},"categories":[152],"tags":[],"class_list":["post-529","post","type-post","status-publish","format-standard","hentry","category-geral"],"yoast_head":"\n>Trielo: solu\u00e7\u00e3o - hypercubic<\/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:\/\/www.blogs.unicamp.br\/hypercubic\/2011\/01\/trielo-solucao\/\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Renato Pincelli\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. tempo de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/01\\\/trielo-solucao\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/01\\\/trielo-solucao\\\/\"},\"author\":{\"name\":\"Renato Pincelli\",\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/#\\\/schema\\\/person\\\/c7be1e2811d061a75d3b4f4960eb53bd\"},\"headline\":\">Trielo: solu\u00e7\u00e3o\",\"datePublished\":\"2011-01-13T00:03:00+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/01\\\/trielo-solucao\\\/\"},\"wordCount\":266,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/#organization\"},\"articleSection\":[\"Geral\"],\"inLanguage\":\"pt-BR\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/01\\\/trielo-solucao\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/01\\\/trielo-solucao\\\/\",\"url\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/01\\\/trielo-solucao\\\/\",\"name\":\">Trielo: solu\u00e7\u00e3o - 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