{"id":1341,"date":"2023-07-26T19:24:24","date_gmt":"2023-07-26T19:24:24","guid":{"rendered":"https:\/\/statorials.org\/ja\/a%e3%81%a8b%e3%81%ae%e7%a2%ba%e7%8e%87\/"},"modified":"2023-07-26T19:24:24","modified_gmt":"2023-07-26T19:24:24","slug":"a%e3%81%a8b%e3%81%ae%e7%a2%ba%e7%8e%87","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/a%e3%81%a8b%e3%81%ae%e7%a2%ba%e7%8e%87\/","title":{"rendered":"A \u3068 b \u306e\u78ba\u7387\u3092\u6c42\u3081\u308b\u65b9\u6cd5: \u4f8b\u4ed8\u304d"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">2 \u3064\u306e\u30a4\u30d9\u30f3\u30c8 A \u3068 B \u304c\u4e0e\u3048\u3089\u308c\u305f\u5834\u5408\u3001\u300cA \u3068 B \u306e\u78ba\u7387\u3092\u6c42\u3081\u308b\u300d\u3068\u306f<strong>\u3001\u30a4\u30d9\u30f3\u30c8 A \u3068\u30a4\u30d9\u30f3\u30c8 B \u306e\u4e21\u65b9\u304c\u767a\u751f\u3059\u308b<\/strong>\u78ba\u7387\u3092\u6c42\u3081\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u901a\u5e38\u3001\u3053\u306e\u78ba\u7387\u306f\u6b21\u306e 2 \u3064\u306e\u65b9\u6cd5\u3067\u8a18\u8ff0\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(A \u304a\u3088\u3073 B) \u2013 \u66f8\u9762\u5f62\u5f0f<\/span><\/li>\n<li><span style=\"color: #000000;\">P(A\u2229B) \u2013 \u5f62\u5f0f\u8868\u8a18<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u78ba\u7387\u3092\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308b\u304b\u306f\u3001\u30a4\u30d9\u30f3\u30c8 A \u3068 B \u304c\u72ec\u7acb\u3057\u3066\u3044\u308b\u304b\u4f9d\u5b58\u3057\u3066\u3044\u308b\u304b\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">A \u3068 B \u304c<strong>\u72ec\u7acb\u3057\u3066<\/strong>\u3044\u308b\u5834\u5408\u3001P(A\u2229B) \u306e\u8a08\u7b97\u306b\u4f7f\u7528\u3059\u308b\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 19px;\"> <strong><span style=\"color: #000000;\">Independent Events:<\/span> <span style=\"color: #000000;\">P(A\u2229B) = P(A) * P(B)<\/span>\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A \u3068 B \u304c<strong>\u5f93\u5c5e\u3057\u3066<\/strong>\u3044\u308b\u5834\u5408\u3001P(A\u2229B) \u306e\u8a08\u7b97\u306b\u4f7f\u7528\u3059\u308b\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 19px;\"> <strong><span style=\"color: #000000;\">Dependent Events:<\/span> <span style=\"color: #000000;\">P(A\u2229B) = P(A) * P(B|A)<\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">P(B|A) \u306f\u3001<em>\u6b21\u306e\u5834\u5408\u306b<\/em>\u30a4\u30d9\u30f3\u30c8 B \u304c\u767a\u751f\u3059\u308b\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002 <em><strong>&nbsp;<\/strong><\/em>\u30a4\u30d9\u30f3\u30c8A\u304c\u767a\u751f\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001\u3053\u308c\u3089\u306e\u516c\u5f0f\u3092\u5b9f\u969b\u306b\u4f7f\u7528\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u72ec\u7acb\u3057\u305f\u30a4\u30d9\u30f3\u30c8\u306e P(A\u2229B) \u306e\u4f8b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001A \u3068 B \u304c\u72ec\u7acb\u3057\u305f\u30a4\u30d9\u30f3\u30c8\u3067\u3042\u308b\u5834\u5408\u306b P(A\u2229B) \u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4f8b 1:<\/strong>\u3042\u306a\u305f\u306e\u304a\u6c17\u306b\u5165\u308a\u306e\u91ce\u7403\u30c1\u30fc\u30e0\u304c\u30ef\u30fc\u30eb\u30c9 \u30b7\u30ea\u30fc\u30ba\u3067\u512a\u52dd\u3059\u308b\u78ba\u7387\u306f 1\/30 \u3067\u3001\u3042\u306a\u305f\u306e\u304a\u6c17\u306b\u5165\u308a\u306e\u30d5\u30c3\u30c8\u30dc\u30fc\u30eb \u30c1\u30fc\u30e0\u304c\u30b9\u30fc\u30d1\u30fc \u30dc\u30a6\u30eb\u3067\u512a\u52dd\u3059\u308b\u78ba\u7387\u306f 1\/32 \u3067\u3059\u3002\u3042\u306a\u305f\u306e\u304a\u6c17\u306b\u5165\u308a\u306e 2 \u30c1\u30fc\u30e0\u304c\u305d\u308c\u305e\u308c\u306e\u30c1\u30e3\u30f3\u30d4\u30aa\u30f3\u30b7\u30c3\u30d7\u3067\u512a\u52dd\u3059\u308b\u78ba\u7387\u306f\u3069\u308c\u304f\u3089\u3044\u3067\u3059\u304b?<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u89e3\u6c7a\u7b56:<\/strong>\u3053\u306e\u4f8b\u3067\u306f\u3001\u5404\u30a4\u30d9\u30f3\u30c8\u306e\u767a\u751f\u78ba\u7387\u306f\u4e92\u3044\u306b\u72ec\u7acb\u3057\u3066\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u4e21\u65b9\u304c\u767a\u751f\u3059\u308b\u78ba\u7387\u306f\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(A\u2229B) = (1\/30) * (1\/32) = 1\/960 = .00104\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4f8b 2:<\/strong>\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u308b\u3068\u540c\u6642\u306b\u30b3\u30a4\u30f3\u3092\u6295\u3052\u307e\u3059\u3002\u30b5\u30a4\u30b3\u30ed\u304c 4 \u306b\u51fa\u3066\u3001\u30b3\u30a4\u30f3\u304c\u88cf\u306b\u306a\u308b\u78ba\u7387\u306f\u3069\u308c\u304f\u3089\u3044\u3067\u3059\u304b?<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u89e3\u6c7a\u7b56:<\/strong>\u3053\u306e\u4f8b\u3067\u306f\u3001\u5404\u30a4\u30d9\u30f3\u30c8\u306e\u767a\u751f\u78ba\u7387\u306f\u4e92\u3044\u306b\u72ec\u7acb\u3057\u3066\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u4e21\u65b9\u304c\u767a\u751f\u3059\u308b\u78ba\u7387\u306f\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(A\u2229B) = (1\/6) * (1\/2) = 1\/12 = 0.083333\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f9d\u5b58\u30a4\u30d9\u30f3\u30c8\u306e P(A\u2229B) \u306e\u4f8b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001A \u3068 B \u304c\u4f9d\u5b58\u30a4\u30d9\u30f3\u30c8\u3067\u3042\u308b\u5834\u5408\u306b P(A\u2229B) \u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4f8b 1:<\/strong>\u58fa\u306b\u306f\u8d64\u3044\u30dc\u30fc\u30eb\u304c 4 \u3064\u3001\u7dd1\u8272\u306e\u30dc\u30fc\u30eb\u304c 4 \u3064\u5165\u3063\u3066\u3044\u307e\u3059\u3002\u3042\u306a\u305f\u306f\u58fa\u304b\u3089\u30e9\u30f3\u30c0\u30e0\u306b\u30dc\u30fc\u30eb\u3092\u9078\u3073\u307e\u3059\u3002\u6b21\u306b\u3001\u4ea4\u63db\u305b\u305a\u306b\u5225\u306e\u30dc\u30fc\u30eb\u3092\u9078\u629e\u3057\u307e\u3059\u3002\u6bce\u56de\u8d64\u3044\u30dc\u30fc\u30eb\u3092\u9078\u3076\u78ba\u7387\u306f\u3069\u308c\u304f\u3089\u3044\u3067\u3059\u304b?<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u89e3\u6c7a\u7b56:<\/strong>\u3053\u306e\u4f8b\u3067\u306f\u3001\u6700\u521d\u306b\u9078\u629e\u3057\u305f\u30dc\u30fc\u30eb\u306e\u8272\u304c\u30012 \u56de\u76ee\u306b\u8d64\u3044\u30dc\u30fc\u30eb\u3092\u9078\u629e\u3059\u308b\u78ba\u7387\u306b\u5f71\u97ff\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u30a4\u30d9\u30f3\u30c8\u306f\u4f9d\u5b58\u95a2\u4fc2\u306b\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u30a4\u30d9\u30f3\u30c8 A \u3092\u3001\u6700\u521d\u306b\u8d64\u3044\u30dc\u30fc\u30eb\u304c\u9078\u629e\u3055\u308c\u308b\u78ba\u7387\u3068\u3057\u3066\u5b9a\u7fa9\u3057\u307e\u3057\u3087\u3046\u3002\u3053\u306e\u78ba\u7387\u306f P(A) = 4\/8 \u3067\u3059\u3002\u6b21\u306b\u3001\u6700\u521d\u306e\u30dc\u30fc\u30eb\u304c\u8d64\u3060\u3063\u305f<em>\u3068\u3057\u3066<\/em>\u3001\u518d\u3073\u8d64\u3044\u30dc\u30fc\u30eb\u304c\u9078\u629e\u3055\u308c\u308b\u78ba\u7387\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u9078\u629e\u3067\u304d\u308b\u8d64\u3044\u30dc\u30fc\u30eb\u306f 3 \u3064\u3060\u3051\u6b8b\u3063\u3066\u304a\u308a\u3001\u58fa\u306e\u4e2d\u306b\u306f\u5408\u8a08 7 \u3064\u306e\u30dc\u30fc\u30eb\u3057\u304b\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001P(B|A) \u306f 3\/7 \u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3057\u305f\u304c\u3063\u3066\u3001\u6bce\u56de\u8d64\u3044\u30dc\u30fc\u30eb\u3092\u9078\u629e\u3059\u308b\u78ba\u7387\u306f\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(A\u2229B) = P(A) * P(B|A) = (4\/8) * (3\/7) = 0.214\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4f8b 2:<\/strong>\u3042\u308b\u30af\u30e9\u30b9\u306b\u306f\u3001\u7537\u5b50 15 \u4eba\u3001\u5973\u5b50 12 \u4eba\u304c\u3044\u307e\u3059\u3002\u9784\u306e\u4e2d\u306b\u751f\u5f92\u4e00\u4eba\u4e00\u4eba\u306e\u540d\u524d\u3092\u5165\u308c\u305f\u3068\u3057\u307e\u3059\u3002\u30d0\u30c3\u30b0\u306e\u4e2d\u304b\u3089\u30e9\u30f3\u30c0\u30e0\u3067\u304a\u540d\u524d\u3092\u6c7a\u3081\u3055\u305b\u3066\u3044\u305f\u3060\u304d\u307e\u3059\u3002\u6b21\u306b\u3001\u7f6e\u63db\u305b\u305a\u306b\u5225\u306e\u540d\u524d\u3092\u9078\u629e\u3057\u307e\u3059\u3002\u4e21\u65b9\u306e\u540d\u524d\u304c\u7537\u306e\u5b50\u3067\u3042\u308b\u78ba\u7387\u306f\u3069\u308c\u304f\u3089\u3044\u3067\u3059\u304b?<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u89e3\u6c7a\u7b56:<\/strong>\u3053\u306e\u4f8b\u3067\u306f\u3001\u6700\u521d\u306b\u9078\u629e\u3057\u305f\u540d\u524d\u304c\u30012 \u56de\u76ee\u306e\u62bd\u9078\u3067\u7537\u306e\u5b50\u306e\u540d\u524d\u3092\u9078\u629e\u3059\u308b\u78ba\u7387\u306b\u5f71\u97ff\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u30a4\u30d9\u30f3\u30c8\u306f\u4f9d\u5b58\u95a2\u4fc2\u306b\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u30a4\u30d9\u30f3\u30c8 A \u3092\u3001\u521d\u3081\u3066\u7537\u306e\u5b50\u3092\u9078\u629e\u3059\u308b\u78ba\u7387\u3068\u3057\u3066\u5b9a\u7fa9\u3057\u307e\u3057\u3087\u3046\u3002\u3053\u306e\u78ba\u7387\u306f P(A) = 15\/27 \u3067\u3059\u3002\u6b21\u306b\u3001\u4e0b\u306e\u540d\u524d\u304c\u7537\u306e\u5b50\u3060\u3063\u305f<em>\u3068\u3057\u3066<\/em>\u3001\u518d\u3073\u7537\u306e\u5b50\u3092\u9078\u629e\u3059\u308b\u78ba\u7387\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u9078\u629e\u3067\u304d\u308b\u306e\u306f 14 \u4eba\u306e\u7537\u306e\u5b50\u3060\u3051\u3067\u3042\u308a\u3001\u30d0\u30c3\u30b0\u306b\u306f\u5408\u8a08 26 \u4eba\u306e\u540d\u524d\u3057\u304b\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001P(B|A) \u306f 14\/26 \u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3057\u305f\u304c\u3063\u3066\u3001\u6bce\u56de\u7537\u306e\u5b50\u306e\u540d\u524d\u3092\u9078\u629e\u3059\u308b\u78ba\u7387\u306f\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(A\u2229B) = P(A) * P(B|A) = (15\/27) * (14\/26) = 0.299\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>2 \u3064\u306e\u30a4\u30d9\u30f3\u30c8 A \u3068 B \u304c\u4e0e\u3048\u3089\u308c\u305f\u5834\u5408\u3001\u300cA \u3068 B \u306e\u78ba\u7387\u3092\u6c42\u3081\u308b\u300d\u3068\u306f\u3001\u30a4\u30d9\u30f3\u30c8 A \u3068\u30a4\u30d9\u30f3\u30c8 B \u306e\u4e21\u65b9\u304c\u767a\u751f\u3059\u308b\u78ba\u7387\u3092\u6c42\u3081\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002 \u901a\u5e38\u3001\u3053\u306e\u78ba\u7387\u306f\u6b21\u306e 2 \u3064\u306e\u65b9\u6cd5\u3067\u8a18\u8ff0\u3055\u308c\u307e\u3059\u3002 P(A [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-1341","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A \u3068 B \u306e\u78ba\u7387\u3092\u6c42\u3081\u308b\u65b9\u6cd5: \u4f8b\u4ed8\u304d<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001\u30a4\u30d9\u30f3\u30c8 A \u3068\u30a4\u30d9\u30f3\u30c8 B \u306e\u4e21\u65b9\u304c\u767a\u751f\u3059\u308b\u78ba\u7387\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u3092\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u4f7f\u7528\u3057\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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