{"id":4479,"date":"2014-10-27T19:38:08","date_gmt":"2014-10-27T17:38:08","guid":{"rendered":"https:\/\/wpethzprd.ethz.ch\/kowalski\/?p=4479"},"modified":"2024-02-20T13:40:33","modified_gmt":"2024-02-20T11:40:33","slug":"0-00023814967230605090687395214144185337601","status":"publish","type":"post","link":"https:\/\/blogs.ethz.ch\/kowalski\/2014\/10\/27\/0-00023814967230605090687395214144185337601\/","title":{"rendered":"0.00023814967230605090687395214144185337601"},"content":{"rendered":"<p>Yesterday my younger son was playing dice; the game involved throwing 6 dices simultaneously, and he threw a complete set 1, 2, 3, 4, 5, 6, <em>twice<\/em> in a row!<\/p>\n<p>Is that a millenial-style coincidence worth cosmic pronouncements?  Actually, not that much: since the dices are indistinguishable, the probability of a single throw of this type is<\/p>\n<p>$latex \\frac{6!}{6^6}\\simeq  0.015432098765432098765432098765432098765,$<\/p>\n<p>so about one and a half percent.  And for two, assuming independence, we get a probability <\/p>\n<p>$latex \\frac{(6!)^2}{6^{12}}\\simeq 0.00023814967230605090687395214144185337601,$<\/p>\n<p>or a bit more than one chance in five throusand.  This is small, but not extraordinarily so.<\/p>\n<p>(The dices are thrown from a cup, so the independence assumption is quite reliable here.)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Yesterday my younger son was playing dice; the game involved throwing 6 dices simultaneously, and he threw a complete set 1, 2, 3, 4, 5, 6, twice in a row! Is that a millenial-style coincidence worth cosmic pronouncements? Actually, not that much: since the dices are indistinguishable, the probability of a single throw of this &hellip; <a href=\"https:\/\/blogs.ethz.ch\/kowalski\/2014\/10\/27\/0-00023814967230605090687395214144185337601\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">0.00023814967230605090687395214144185337601<\/span><\/a><\/p>\n","protected":false},"author":625,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1086,2,624],"tags":[],"class_list":["post-4479","post","type-post","status-publish","format-standard","hentry","category-exercise","category-blogroll","category-science"],"_links":{"self":[{"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/posts\/4479","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/users\/625"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/comments?post=4479"}],"version-history":[{"count":0,"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/posts\/4479\/revisions"}],"wp:attachment":[{"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/media?parent=4479"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/categories?post=4479"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/tags?post=4479"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}