{"id":866,"date":"2013-08-04T17:31:26","date_gmt":"2013-08-04T08:31:26","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=866"},"modified":"2021-09-23T09:42:45","modified_gmt":"2021-09-23T00:42:45","slug":"thr201303","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/thr201303\/","title":{"rendered":"\u6771\u5317\u5927\u7406\u7cfb2013\uff1a\u7b2c3\u554f"},"content":{"rendered":"<hr \/>\n<p>A , B \u306e \\(2\\) \u4eba\u304c, \u30b5\u30a4\u30b3\u30ed\u3092 \\(1\\) \u56de\u305a\u3064\u4ea4\u4e92\u306b\u6295\u3052\u308b\u30b2\u30fc\u30e0\u3092\u884c\u3046.\r\n\u81ea\u5206\u306e\u51fa\u3057\u305f\u30b5\u30a4\u30b3\u30ed\u306e\u76ee\u3092\u5408\u8a08\u3057\u3066\u5148\u306b \\(6\\) \u306b\u306a\u3063\u305f\u65b9\u304c\u52dd\u3061\u3068\u3057, \u305d\u306e\u6642\u70b9\u3067\u30b2\u30fc\u30e0\u3092\u7d42\u4e86\u3059\u308b.\r\nA \u304b\u3089\u6295\u3052\u59cb\u3081\u308b\u3082\u306e\u3068\u3057, \u4ee5\u4e0b\u306e\u554f\u3044\u306b\u7b54\u3048\u3088.<\/p>\r\n<ol>\r\n<li><p><strong>(1)<\/strong>\u3000A \u304c\u3061\u3087\u3046\u3069 \\(2\\) \u56de\u6295\u3052\u3066 A \u304c\u52dd\u3061\u3068\u306a\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(2)<\/strong>\u3000B \u304c\u3061\u3087\u3046\u3069 \\(2\\) \u56de\u6295\u3052\u3066 B \u304c\u52dd\u3061\u3068\u306a\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(3)<\/strong>\u3000B \u304c\u3061\u3087\u3046\u3069 \\(3\\) \u56de\u6295\u3052\u3066, \u305d\u306e\u6642\u70b9\u3067\u30b2\u30fc\u30e0\u304c\u7d42\u4e86\u3057\u3066\u3044\u306a\u3044\u78ba\u7387\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<\/ol>\r\n<hr \/>\r\n<!--more-->\r\n<h2>\u3010 \u89e3 \u7b54 \u3011<\/h2>\r\n<p>\\(1\\) \u4eba\u3067\u7e70\u8fd4\u3057\u30b5\u30a4\u30b3\u30ed\u3092\u3075\u308a, \u51fa\u305f\u76ee\u306e\u548c\u304c \\(n\\) \u56de\u76ee\u306b\u521d\u3081\u3066 \\(6\\) \u4ee5\u4e0a\u306b\u306a\u308b\u78ba\u7387\u3092 \\(p _ n\\) , \\(n\\) \u56de\u76ee\u3067\u307e\u3060 \\(5\\) \u4ee5\u4e0b\u3067\u3042\u308b\u78ba\u7387\u3092 \\(q _ n\\) \u3068\u304a\u304f.<\/p>\r\n<ul>\r\n<li><p>\\(1\\) \u56de\u76ee\u306b\u3064\u3044\u3066<br \/>\r\n\u7d42\u4e86\u3059\u308b\u306e\u306f, \\(6\\) \u304c\u51fa\u305f\u3068\u304d\u306e\u307f\u306a\u306e\u3067\r\n\\[\r\np _ 1 = \\dfrac{1}{6} , \\ q _ 1 = \\dfrac{5}{6} \\ .\r\n\\]<\/li>\r\n<li><p>\\(2\\) \u56de\u76ee\u306b\u3064\u3044\u3066<br \/>\r\n\u7d42\u4e86\u3057\u306a\u3044\u76ee\u306e\u7d44\u5408\u305b\u306f, \\((1,1) , (2,2)\\) \u3068 \\((1,2) , (1,3) , (1,4) , (2,3)\\) \u306a\u306e\u3067\r\n\\[\r\nq _ 2 = \\dfrac{2 +2 \\cdot 4}{6^2} = \\dfrac{5}{18} \\ .\r\n\\]\r\n\u3057\u305f\u304c\u3063\u3066\r\n\\[\r\np _ 2 = q _ 1 -q _ 2 = \\dfrac{5}{9} \\ .\r\n\\]<\/li>\r\n<li><p>\\(3\\) \u56de\u76ee\u306b\u3064\u3044\u3066<br \/>\r\n\u7d42\u4e86\u3057\u306a\u3044\u76ee\u306e\u7d44\u5408\u305b\u306f, \\((1,1,1)\\) \u3068 \\((1,1,2) , (1,1,3) , (1,2,2)\\) \u306a\u306e\u3067\r\n\\[\r\nq _ 3 = \\dfrac{1 +3 \\cdot 3}{6^3} = \\dfrac{5}{108} \\ .\r\n\\]<\/li>\r\n<\/ul>\r\n<p><strong>(1)<\/strong><\/p>\r\n<p>B \u304c \\(1\\) \u56de\u3067\u7d42\u4e86\u305b\u305a, A \u304c \\(2\\) \u56de\u76ee\u3067\u7d42\u4e86\u3059\u308c\u3070\u3088\u3044\u306e\u3067, \u6c42\u3081\u308b\u78ba\u7387\u306f\r\n\\[\r\nq _ 1 p _ 2 = \\dfrac{5}{6} \\cdot \\dfrac{5}{9} = \\underline{\\dfrac{25}{54}} \\ .\r\n\\]\r\n<p><strong>(2)<\/strong><\/p>\r\n<p>A \u304c \\(2\\) \u56de\u3067\u7d42\u4e86\u305b\u305a, B \u304c \\(2\\) \u56de\u76ee\u3067\u7d42\u4e86\u3059\u308c\u3070\u3088\u3044\u306e\u3067, \u6c42\u3081\u308b\u78ba\u7387\u306f\r\n\\[\r\nq _ 2 p _ 2 = \\dfrac{5}{18} \\cdot \\dfrac{5}{9} = \\underline{\\dfrac{25}{162}} \\ .\r\n\\]\r\n<p><strong>(3)<\/strong><\/p>\r\n<p>A , B \u3068\u3082\u306b \\(3\\) \u56de\u3067\u7d42\u4e86\u3057\u306a\u3051\u308c\u3070\u3088\u3044\u306e\u3067, \u6c42\u3081\u308b\u78ba\u7387\u306f\r\n\\[\r\n{q _ 3}^2 = \\left( \\dfrac{5}{108} \\right)^2 = \\underline{\\dfrac{25}{11664}} \\ .\r\n\\]\r\n","protected":false},"excerpt":{"rendered":"A , B \u306e \\(2\\) \u4eba\u304c, \u30b5\u30a4\u30b3\u30ed\u3092 \\(1\\) \u56de\u305a\u3064\u4ea4\u4e92\u306b\u6295\u3052\u308b\u30b2\u30fc\u30e0\u3092\u884c\u3046. \u81ea\u5206\u306e\u51fa\u3057\u305f\u30b5\u30a4\u30b3\u30ed\u306e\u76ee\u3092\u5408\u8a08\u3057\u3066\u5148\u306b \\(6\\) \u306b\u306a\u3063\u305f\u65b9\u304c\u52dd\u3061\u3068\u3057, \u305d\u306e\u6642\u70b9\u3067\u30b2\u30fc\u30e0\u3092\u7d42\u4e86\u3059\u308b. A \u304b\u3089\u6295\u3052\u59cb\u3081\u308b\u3082 &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/thr201303\/\">\u7d9a\u304d\u3092\u8aad\u3080 <span class=\"meta-nav\">&rarr;<\/span><\/a>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[96],"tags":[148,111],"class_list":["post-866","post","type-post","status-publish","format-standard","hentry","category-tohoku_r_2013","tag-tohoku_r","tag-111"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/866","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/comments?post=866"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/866\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=866"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=866"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=866"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}