{"id":3475,"date":"2015-05-09T19:24:51","date_gmt":"2015-05-10T03:24:51","guid":{"rendered":"http:\/\/bendwavy.org\/wp\/?p=3475"},"modified":"2016-09-30T22:15:27","modified_gmt":"2016-10-01T06:15:27","slug":"alternate-poker","status":"publish","type":"post","link":"https:\/\/bendwavy.org\/wp\/?p=3475","title":{"rendered":"alternate poker"},"content":{"rendered":"

Suppose your deck has more than four suits, or some number other than thirteen cards per suit. What happens to the ranks of poker hands?<\/p>\n

\r\n              1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3\r\n    5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2\r\n\r\n 4  F F F * B B B * O O O A A A A A A A A A A A A A A A A A \r\n 5  F F F F F F F B B B B B O O A A A A A A A A A A A D D D \r\n 6  F F F F F F F F F F F B B B B B B A A D D D D D D D D D \r\n 7  F F F F F F F F F F F F F F F B C C C C E E D D D D D D \r\n 8  F F F F F F F F F F F F F F G G G G G C C C C C E E E D \r\n 9  F F F F F F F F F F F F F G G G G G G G G G G C C C C E \r\n10  F F F F F F F F F F F F G G G G G G G G G G G G G G G G \r\n11  F F F F F F F F F F F G G G G G G G G G G G G G G G G G\r\n12  F F F F F F F F F F G G G G G G G G G G G G G G G G G G\r\n13  F F F F F F F F F F G G G G G G G G G G G G G G G G G G\r\n14  F F F F F F F F F G G G G G G G G G G G G G G G G G G G\r\n15  F F F F F F F F F G G G G G G G G G G G G G G G G G G G\r\n16  F F F F F F F F F G G G G G G G G G G G G G G G G G G G\r\n<\/pre>\n
O: the familiar case: straight flush > four of a kind > full house > flush > straight > three of a kind > two pair > one pair.
\nA: four > full house > straight > flush.
\nB: four > flush > full house > straight.
\nC: four > flush > straight > full house.
\nD: four > straight > full house > flush.
\nE: four > straight > flush > full house.
\nF: flush > four > full house > straight.
\nG: flush > four > straight > full house.
\n*: surprisingly only two cases where two of the scoring hands are equally rare: with four suits and twelve ranks, flush = full house; with four suits and eight ranks, flush = four.<\/p>\n","protected":false},"excerpt":{"rendered":"
Suppose your deck has more than four suits, or some number other than thirteen cards per suit. What happens to the ranks of poker hands? 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[71,12],"tags":[],"class_list":["post-3475","post","type-post","status-publish","format-standard","hentry","category-games","category-mathematics"],"_links":{"self":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/3475","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3475"}],"version-history":[{"count":5,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/3475\/revisions"}],"predecessor-version":[{"id":3668,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/3475\/revisions\/3668"}],"wp:attachment":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3475"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3475"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3475"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}