{"id":551,"date":"2012-12-29T23:03:46","date_gmt":"2012-12-29T14:03:46","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=551"},"modified":"2021-10-31T07:43:35","modified_gmt":"2021-10-30T22:43:35","slug":"tkb200903","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/tkb200903\/","title":{"rendered":"\u6771\u5927\u6587\u7cfb2009\uff1a\u7b2c3\u554f"},"content":{"rendered":"<hr \/>\n<p>\u30b9\u30a4\u30c3\u30c1\u3092 \\(1\\) \u56de\u62bc\u3059\u3054\u3068\u306b, \u8d64, \u9752, \u9ec4, \u767d\u306e\u3044\u305a\u308c\u304b\u306e\u8272\u306e\u7389\u304c \\(1\\) \u500b, \u7b49\u78ba\u7387 \\(\\dfrac{1}{4}\\) \u3067\u51fa\u3066\u304f\u308b\u6a5f\u68b0\u304c\u3042\u308b.\r\n\\(2\\) \u3064\u306e\u7bb1 L \u3068 R \u3092\u7528\u610f\u3059\u308b. \u6b21\u306e \\(3\\) \u7a2e\u985e\u306e\u64cd\u4f5c\u3092\u8003\u3048\u308b.<\/p>\r\n<ol>\r\n<li><p>(A)\u3000\\(1\\) \u56de\u30b9\u30a4\u30c3\u30c1\u3092\u62bc\u3057, \u51fa\u3066\u304d\u305f\u7389\u3092 L \u306b\u5165\u308c\u308b.<\/p><\/li>\r\n<li><p>(B)\u3000\\(1\\) \u56de\u30b9\u30a4\u30c3\u30c1\u3092\u62bc\u3057, \u51fa\u3066\u304d\u305f\u7389\u3092 R \u306b\u5165\u308c\u308b.<\/p><\/li>\r\n<li><p>(C)\u3000\\(1\\) \u56de\u30b9\u30a4\u30c3\u30c1\u3092\u62bc\u3057, \u51fa\u3066\u304d\u305f\u7389\u3068\u540c\u3058\u8272\u306e\u7389\u304c, L \u306b\u306a\u3051\u308c\u3070\u305d\u306e\u7389\u3092 L \u306b\u5165\u308c, L \u306b\u3042\u308c\u3070\u305d\u306e\u7389\u3092 R \u306b\u5165\u308c\u308b.<\/p><\/li>\r\n<\/ol>\r\n<ol>\r\n<li><p><strong>(1)<\/strong>\u3000L \u3068 R \u306f\u7a7a\u3067\u3042\u308b\u3068\u3059\u308b. \u64cd\u4f5c (A) \u3092 \\(5\\) \u56de\u304a\u3053\u306a\u3044, \u3055\u3089\u306b\u64cd\u4f5c (B) \u3092 \\(5\\) \u56de\u304a\u3053\u306a\u3046. \u3053\u306e\u3068\u304d L \u306b\u3082 R \u306b\u3082 \\(4\\) \u8272\u3059\u3079\u3066\u306e\u7389\u304c\u5165\u3063\u3066\u3044\u308b\u78ba\u7387 \\(\\text{P}{} _ 1\\) \u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(2)<\/strong>\u3000L \u3068 R \u306f\u7a7a\u3067\u3042\u308b\u3068\u3059\u308b. \u64cd\u4f5c (C) \u3092 \\(5\\) \u56de\u304a\u3053\u306a\u3046. \u3053\u306e\u3068\u304d L \u306b \\(4\\) \u8272\u3059\u3079\u3066\u306e\u7389\u304c\u5165\u3063\u3066\u3044\u308b\u78ba\u7387 \\(\\text{P}{} _ 2\\) \u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(3)<\/strong>\u3000L \u3068 R \u306f\u7a7a\u3067\u3042\u308b\u3068\u3059\u308b. \u64cd\u4f5c (C) \u3092 \\(10\\) \u56de\u304a\u3053\u306a\u3046. \u3053\u306e\u3068\u304d L \u306b\u3082 R \u306b\u3082 \\(4\\) \u8272\u3059\u3079\u3066\u306e\u7389\u304c\u5165\u3063\u3066\u3044\u308b\u78ba\u7387\u3092 \\(\\text{P}{} _ 3\\) \u3068\u3059\u308b. \\(\\dfrac{\\text{P}{} _ 3}{\\text{P}{} _ 1}\\) \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><strong>(1)<\/strong><\/p>\r\n<p>\u524d\u534a \\(5\\) \u56de, \u5f8c\u534a \\(5\\) \u56de\u306b\u3064\u3044\u3066, \\(4\\) \u8272\u306e\u3046\u3061\u306e \\(1\\) \u8272\u304c \\(2\\) \u56de, \u4ed6\u306e \\(3\\) \u8272\u304c \\(1\\) \u56de\u305a\u3064\u51fa\u308b\u5834\u5408\u306a\u306e\u3067\r\n\\[\\begin{align}\r\n\\text{P}{} _ 1 & = \\left\\{ {} _ 4 \\text{C} {} _ 1 \\cdot {} _ 5 \\text{C} {} _ 2 \\cdot 3! \\left( \\dfrac{1}{4} \\right)^5 \\right\\}^2 \\\\\r\n& = \\dfrac{240^2}{4^{10}} =\\underline{\\dfrac{225}{4096}}\r\n\\end{align}\\]\r\n<p><strong>(2)<\/strong><\/p>\r\n<p><strong>(1)<\/strong> \u306e\u524d\u534a \\(5\\) \u56de\u306b\u3064\u3044\u3066\u3068\u540c\u69d8\u3067\u3042\u308b\u5834\u5408\u306a\u306e\u3067\r\n\\[\r\n\\text{P}{} _ 2 = \\underline{\\dfrac{15}{64}}\r\n\\]\r\n<p><strong>(3)<\/strong><\/p>\r\n<p>\u78ba\u7387\u3092\u6c42\u3081\u305f\u3044\u4e8b\u8c61\u306b\u306f, \u4ee5\u4e0b\u306e \\(2\\) \u3064\u306e\u5834\u5408\u304c\u8003\u3048\u3089\u308c\u308b.<\/p>\r\n<ul>\r\n<li><p>\\(1\\) \u8272\u304c \\(4\\) \u56de, \u4ed6\u306e \\(3\\) \u8272\u304c \\(2\\) \u56de\u305a\u3064\u51fa\u308b.<\/p><\/li>\r\n<li><p>\\(2\\) \u8272\u304c \\(3\\) \u56de\u305a\u3064, \u4ed6\u306e \\(2\\) \u8272\u304c \\(2\\) \u56de\u305a\u3064\u51fa\u308b.<\/p><\/li>\r\n<\/ul>\r\n<p>\u3057\u305f\u304c\u3063\u3066\r\n\\[\\begin{align}\r\n\\text{P}{} _ 3 & = {} _ 4 \\text{C} {} _ 1 \\cdot {} _ {10} \\text{C} {} _ 4 \\cdot {} _ 6 \\text{C} {} _ 2 \\cdot {} _ 4 \\text{C} {} _ 2 \\left( \\dfrac{1}{4} \\right)^{10} \\\\\r\n& \\qquad +{} _ 4 \\text{C} {} _ 2 \\cdot {} _ {10} \\text{C} {} _ 3 \\cdot {} _ 7 \\text{C} {} _ 3 \\cdot {} _ 4 \\text{C} {} _ 2 \\left( \\dfrac{1}{4} \\right)^{10} \\\\\r\n& = \\dfrac{2100 \\cdot 108}{4^{10}}\r\n\\end{align}\\]\r\n\u3088\u3063\u3066\r\n\\[\r\n\\dfrac{\\text{P}{} _ 3}{\\text{P}{} _ 1} = \\dfrac{2100 \\cdot 108}{240^2} =\\underline{\\dfrac{63}{16}}\r\n\\]\r\n","protected":false},"excerpt":{"rendered":"\u30b9\u30a4\u30c3\u30c1\u3092 \\(1\\) \u56de\u62bc\u3059\u3054\u3068\u306b, \u8d64, \u9752, \u9ec4, \u767d\u306e\u3044\u305a\u308c\u304b\u306e\u8272\u306e\u7389\u304c \\(1\\) \u500b, \u7b49\u78ba\u7387 \\(\\dfrac{1}{4}\\) \u3067\u51fa\u3066\u304f\u308b\u6a5f\u68b0\u304c\u3042\u308b. \\(2\\) \u3064\u306e\u7bb1 L \u3068 R \u3092\u7528\u610f\u3059\u308b. \u6b21\u306e \\ &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/tkb200903\/\">\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":[81],"tags":[149,15],"class_list":["post-551","post","type-post","status-publish","format-standard","hentry","category-tokyo_b_2009","tag-tokyo_b","tag-15"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/551","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=551"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/551\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=551"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=551"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=551"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}