{"id":5312,"date":"2022-03-12T21:37:05","date_gmt":"2022-03-12T12:37:05","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=5312"},"modified":"2022-06-04T23:09:18","modified_gmt":"2022-06-04T14:09:18","slug":"conditional-probability","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/conditional-probability.html","title":{"rendered":"\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3068\u78ba\u7387\u306e\u4e57\u6cd5\u5b9a\u7406\u3092\u7528\u3044\u305f\u8a08\u7b97"},"content":{"rendered":"\n<p>\u9ad8\u6821\u6570\u5b66\u3084\u7d71\u8a08\u5b66\u3067\u5b66\u3076\u5206\u91ce\u306e\u4e00\u3064\u306b\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u304c\u3042\u308a\u307e\u3059\u3002\u7279\u5b9a\u306e\u6761\u4ef6\u304c\u8d77\u3053\u3063\u305f\u3068\u304d\u3001\u3042\u308b\u4e8b\u8c61\u304c\u8d77\u3053\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u306e\u304c\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3067\u3059\u3002<\/p>\n<p>\u7279\u5b9a\u306e\u6761\u4ef6\u304c\u8d77\u3053\u308b\u3068\u304d\u306b\u3064\u3044\u3066\u3001\u78ba\u7387\u3092\u8a08\u7b97\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u5834\u9762\u304c\u3042\u308a\u307e\u3059\u3002\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u7406\u89e3\u3057\u3066\u3044\u306a\u3044\u3068\u8aa4\u7b54\u3059\u308b\u3053\u3068\u306f\u591a\u304f\u3001\u516c\u5f0f\u306e\u610f\u5473\u3092\u7406\u89e3\u3057\u3066\u554f\u984c\u3092\u89e3\u304b\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u306a\u304a\u516c\u5f0f\u3092\u899a\u3048\u3066\u3082\u7b54\u3048\u3092\u51fa\u305b\u308b\u3088\u3046\u306b\u306a\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u304b\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002\u307e\u305f\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u30012\u3064\u306e\u30a4\u30d9\u30f3\u30c8\u304c\u540c\u6642\u306b\u8d77\u3053\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3068\u3044\u3046\u306e\u306f\u3001\u7d71\u8a08\u5b66\u3067\u91cd\u8981\u306a\u6982\u5ff5\uff08\u30d9\u30a4\u30ba\u5b9a\u7406\u306a\u3069\uff09\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u5fc5\u9808\u3068\u306a\u308b\u77e5\u8b58\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u3053\u3053\u3067\u306f\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u7279\u5b9a\u306e\u6761\u4ef6\u304c\u8d77\u3053\u3063\u305f\u3068\u304d\u3001\u3042\u308b\u4e8b\u8c61\u304c\u8d77\u3053\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b<\/h2>\n<p>\u78ba\u7387\u306e\u8a08\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u7279\u5b9a\u306e\u6761\u4ef6\u304c\u8d77\u3053\u3063\u305f\u3068\u304d\u306b\u3064\u3044\u3066\u3001\u3042\u308b\u4e8b\u8c61\u304c\u8d77\u3053\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u30b1\u30fc\u30b9\u306f\u591a\u3044\u3067\u3059\u3002<\/p>\n<p>\u4e00\u822c\u7684\u306a\u8a08\u7b97\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u78ba\u7387\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n<ul>\n<li>2\u679a\u306e\u30b3\u30a4\u30f3\u3092\u6295\u3052\u30012\u679a\u3068\u3082\u8868\u304c\u51fa\u308b\u78ba\u7387<\/li>\n<li>\u30b5\u30a4\u30b3\u30ed\u30922\u3064\u6295\u3052\u3001\u76ee\u306e\u5408\u8a08\u304c10\u4ee5\u4e0a\u306b\u306a\u308b\u78ba\u7387<\/li>\n<li>\u30b5\u30c3\u30ab\u30fc\u30ef\u30fc\u30eb\u30c9\u30ab\u30c3\u30d7\u3067\u30d6\u30e9\u30b8\u30eb\u304c\u30d9\u30b9\u30c84\u306b\u5165\u308b\u78ba\u7387<\/li>\n<\/ul>\n<p>\u5168\u4f53\u306e\u4e8b\u8c61\u3092\u8a08\u7b97\u3057\u305f\u5f8c\u3001\u3044\u304f\u3064\u306e\u767a\u751f\u30a4\u30d9\u30f3\u30c8\u304c\u3042\u308b\u306e\u304b\u6570\u3048\u308c\u3070\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3067\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li><span style=\"color: #ff0000;\">\u30b3\u30a4\u30f3\u3092\u6295\u3052\u3066\u5c11\u306a\u304f\u3068\u3082\u4e00\u679a\u304c\u8868\u306e\u5834\u5408<\/span>\u30012\u679a\u3068\u3082\u8868\u304c\u51fa\u308b\u78ba\u7387<\/li>\n<li>\u30b5\u30a4\u30b3\u30ed\u30922\u3064\u6295\u3052\u3001<span style=\"color: #ff0000;\">\u4e00\u3064\u306e\u30b5\u30a4\u30b3\u30ed\u306e\u76ee\u304c5\u306e\u5834\u5408<\/span>\u3001\u76ee\u306e\u5408\u8a08\u304c10\u4ee5\u4e0a\u306b\u306a\u308b\u78ba\u7387<\/li>\n<li>\u30b5\u30c3\u30ab\u30fc\u30ef\u30fc\u30eb\u30c9\u30ab\u30c3\u30d7\u3067<span style=\"color: #ff0000;\">\u65e5\u672c\u304c\u6c7a\u52dd\u30c8\u30fc\u30ca\u30e1\u30f3\u30c8\u306b\u53c2\u52a0\u3057\u3066\u3044\u308b\u3068\u304d<\/span>\u3001\u30d6\u30e9\u30b8\u30eb\u304c\u30d9\u30b9\u30c84\u306b\u5165\u308b\u78ba\u7387<\/li>\n<\/ul>\n<p>\u3053\u306e\u3088\u3046\u306b\u3001\u7279\u5b9a\u306e\u6761\u4ef6\u304c\u52a0\u308f\u308b\u5834\u5408\u306f\u78ba\u7387\u304c\u5909\u308f\u308a\u307e\u3059\u3002\u3053\u3046\u3057\u305f\u3068\u304d\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<h3>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u516c\u5f0f\u3067\u5229\u7528\u3059\u308b\\(P(A\u2229B)\\)\u3068\\(P(A|B)\\)\u306e\u610f\u5473<\/h3>\n<p>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u5b66\u3076\u3068\u304d\u3001\u9ad8\u6821\u6570\u5b66\u3084\u7d71\u8a08\u5b66\u3067\u5fc5\u305a\u7406\u89e3\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u8a18\u53f7\u304c\\(P(A\u2229B)\\)\u3068\\(P(A|B)\\)\u3067\u3059\u3002\u3053\u308c\u306f\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u3067\u3057\u3087\u304b\u3002\u307e\u305a\u306f\u3001\u4e00\u822c\u7684\u306a\u78ba\u7387\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u5fa9\u7fd2\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>A\u3068B\u306e2\u3064\u306e\u4e8b\u8c61\u304c\u8d77\u3053\u308b\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u56f3\uff08\u30d9\u30f3\u56f3\uff09\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/ryy7.jpg\" alt=\"\" width=\"379\" height=\"270\" class=\"aligncenter size-full wp-image-5313\" \/><\/p>\n<p>A\u3068B\u304c\u4e21\u65b9\u3068\u3082\u8d77\u3053\u308b\u3068\u304d\u3001\\(A\u2229B\\)\u3068\u8868\u3057\u307e\u3059\u3002\u307e\u305fA\u3068B\u304c\u4e21\u65b9\u3068\u3082\u8d77\u3053\u308b\u78ba\u7387\u306b\u3064\u3044\u3066\u306f\u3001Probability\uff08P\uff09\u3092\u5229\u7528\u3057\u3066 \\(P(A\u2229B)\\)\u3068\u8868\u3057\u307e\u3059\u3002<\/p>\n<p>\\(A\u2229B\\)\u304c\u308f\u304b\u308c\u3070\u3001\\(P(A\u2229B)\\)\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u30b5\u30a4\u30b3\u30ed\u30922\u3064\u6295\u3052\u3001\u76ee\u306e\u5408\u8a08\u304c10\u4ee5\u4e0a\u306b\u306a\u308b\u78ba\u7387<\/li>\n<\/ul>\n<p>2\u3064\u306e\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u308b\u5834\u5408\u3001\u5168\u4f53\u306e\u5834\u5408\u306e\u6570\u306f36\u901a\u308a\u3067\u3059\u3002\u305d\u308c\u3067\u306f\u3001\u76ee\u306e\u548c\u304c10\u4ee5\u4e0a\u306b\u306a\u308b\u30b1\u30fc\u30b9\u306f\u3044\u304f\u3089\u3042\u308b\u3067\u3057\u3087\u3046\u304b\u3002\u4ee5\u4e0b\u306e\u5834\u5408\u3001\u76ee\u306e\u548c\u304c10\u4ee5\u4e0a\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>(5,5)<\/li>\n<li>(5,6)<\/li>\n<li>(6,5)<\/li>\n<li>(6,6)<\/li>\n<\/ul>\n<p>\u305d\u306e\u305f\u3081\u30b5\u30a4\u30b3\u30edA\u3068\u30b5\u30a4\u30b3\u30edB\u3092\u6295\u3052\u308b\u3068\u304d\u3001\\(A\u2229B\\)\u3068\u306a\u308b\u30b1\u30fc\u30b9\uff08\u76ee\u306e\u548c\u304c10\u4ee5\u4e0a\u306b\u306a\u308b\u30b1\u30fc\u30b9\uff09\u306f4\u901a\u308a\u3067\u3059\u3002\u5168\u4f53\u306e\u30a4\u30d9\u30f3\u30c836\u901a\u308a\u3067\u3042\u308b\u305f\u3081\u3001\\(P(A\u2229B)\\)\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(P(A\u2229B)=\\displaystyle\\frac{4}{36}=\\displaystyle\\frac{1}{9}\\)<\/p>\n<h3>\u7279\u5b9a\u306e\u6761\u4ef6\u304c\u8d77\u3053\u308b\u3068\u304d\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b<\/h3>\n<p>\u305d\u308c\u3067\u306f\u6b21\u306b\u3001\u7279\u5b9a\u306e\u6761\u4ef6\u304c\u8d77\u3053\u308b\u3068\u304d\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<span style=\"color: #0000ff;\">B\u3068\u3044\u3046\u6761\u4ef6\u304c\u8d77\u3053\u308b\u3068\u304d\u3001A\u304c\u8d77\u3053\u308b\u78ba\u7387\u3092\\(P(A|B)\\)\u3068\u8868\u3057\u307e\u3059\u3002<\/span>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u30b5\u30a4\u30b3\u30ed\u30922\u3064\u6295\u3052\u3001\u4e00\u3064\u306e\u30b5\u30a4\u30b3\u30ed\u306e\u76ee\u304c5\u306e\u5834\u5408\u3001\u76ee\u306e\u5408\u8a08\u304c10\u4ee5\u4e0a\u306b\u306a\u308b\u78ba\u7387<\/li>\n<\/ul>\n<p>\u3053\u306e\u5834\u5408\u3001\u5168\u4f53\u306e\u6570\u304c\u5c11\u306a\u304f\u306a\u308a\u307e\u3059\u3002\u4e00\u3064\u306e\u30b5\u30a4\u30b3\u30ed\u306e\u76ee\u306f5\u3067\u3042\u308b\u305f\u3081\u3001\u3082\u3046\u4e00\u65b9\u306e\u30b5\u30a4\u30b3\u30ed\u306e\u30a4\u30d9\u30f3\u30c8\u306f\u4ee5\u4e0b\u306e6\u901a\u308a\u3067\u3059\u3002<\/p>\n<ul>\n<li>(5,1)<\/li>\n<li>(5,2)<\/li>\n<li>(5,3)<\/li>\n<li>(5,4)<\/li>\n<li>(5,5)<\/li>\n<li>(5,6)<\/li>\n<\/ul>\n<p>\u300c\u4e00\u3064\u306e\u30b5\u30a4\u30b3\u30ed\u304c5\u306e\u76ee\u306b\u306a\u308b\u300d\u3068\u3044\u3046\u6761\u4ef6\u3092B\u3068\u3059\u308b\u3068\u3001\u5168\u4f53\u306e\u30a4\u30d9\u30f3\u30c8\u6570\u306f6\u3067\u3059\u3002\u3053\u306e\u6761\u4ef6\u306e\u3068\u304d\u3001\u3082\u3046\u4e00\u3064\u306e\u6761\u4ef6\u3067\u3042\u308b\u300c\u76ee\u306e\u5408\u8a08\u304c10\u4ee5\u4e0a\u306b\u306a\u308b\u30a4\u30d9\u30f3\u30c8\uff08\\(A\u2229B\\)\uff09\u300d\u306f(5,5)\u3068(5,6)\u306e2\u3064\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/ryy8.jpg\" alt=\"\" width=\"320\" height=\"222\" class=\"aligncenter size-full wp-image-5314\" \/><\/p>\n<p>\u524d\u8ff0\u306e\u901a\u308a\u3001B\u3068\u3044\u3046\u6761\u4ef6\u304c\u8d77\u3053\u308b\u3068\u304d\u3001A\u304c\u8d77\u3053\u308b\u78ba\u7387\u3092\\(P(A|B)\\)\u3068\u8868\u3057\u307e\u3059\u3002\u5168\u4f53\u306e\u30a4\u30d9\u30f3\u30c8\u6570\u304c6\u3064\u3067\u3042\u308a\u3001\u76ee\u306e\u5408\u8a08\u304c10\u4ee5\u4e0a\u306b\u306a\u308b\u30a4\u30d9\u30f3\u30c8\uff08\\(A\u2229B\\)\uff09\u304c2\u3064\u3067\u3042\u308b\u305f\u3081\u3001\u300c\u4e00\u3064\u306e\u30b5\u30a4\u30b3\u30ed\u306e\u76ee\u304c5\u306e\u5834\u5408\u3001\u76ee\u306e\u5408\u8a08\u304c10\u4ee5\u4e0a\u306b\u306a\u308b\u78ba\u7387\\(P(A|B)\\)\u300d\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(P(A|B)=\\displaystyle\\frac{2}{6}=\\displaystyle\\frac{1}{3}\\)<\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u7279\u5b9a\u306e\u6761\u4ef6\u304c\u8d77\u3053\u308b\u5834\u5408\u306e\u5168\u4f53\u306e\u30a4\u30d9\u30f3\u30c8\u6570\u3092B\u3068\u3059\u308b\u3068\u304d\u3001\u540c\u6642\u306bA\u304c\u8d77\u3053\u308b\u78ba\u7387\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(P(A|B)=\\displaystyle\\frac{A\u2229B}{B}\\)<\/li>\n<\/ul>\n<p>\u305f\u3060\u3001\u3053\u306e\u516c\u5f0f\u3092\u899a\u3048\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u8003\u3048\u65b9\u306f\u4e00\u822c\u7684\u306a\u78ba\u7387\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u540c\u3058\u3060\u304b\u3089\u3067\u3059\u3002<\/p>\n<p>\u5168\u4f53\u306e\u6570\u3068\u767a\u751f\u3059\u308b\u30a4\u30d9\u30f3\u30c8\u6570\u304c\u308f\u304b\u308c\u3070\u3001\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3067\u306f\u3001\u300c\u7279\u5b9a\u306e\u6761\u4ef6\u4e0b\u3067\u4f55\u901a\u308a\u306e\u65b9\u6cd5\u304c\u3042\u308b\u306e\u304b\uff08B\uff09\u300d\u300c\u4e21\u65b9\u306e\u30a4\u30d9\u30f3\u30c8\u304c\u8d77\u3053\u308b\u306e\u306f\u4f55\u901a\u308a\u3042\u308b\u306e\u304b\uff08\\(A\u2229B\\)\uff09\u300d\u3092\u6570\u3048\u3066\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u3067\u3059\u3002<\/p>\n<h3>\u78ba\u7387\u3092\u5229\u7528\u3057\u3066\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b<\/h3>\n<p>\u3053\u306e\u3068\u304d\u3001\\(P(B)\\)\u306fB\u304c\u8d77\u3053\u308b\u78ba\u7387\u3092\u8868\u3057\u307e\u3059\u3002\u307e\u305f\\(P(A\u2229B)\\)\u306f\\(A\u2229B\\)\u3068\u306a\u308b\u78ba\u7387\u3092\u8868\u3057\u307e\u3059\u3002\u305d\u3053\u3067B\u3084\\(A\u2229B\\)\u306e\u30a4\u30d9\u30f3\u30c8\u6570\u3092\u5229\u7528\u3059\u308b\u4ee3\u308f\u308a\u3068\u3057\u3066\u3001\u300cB\u304c\u767a\u751f\u3059\u308b\u78ba\u7387\\(P(B)\\)\u300d\u3068\u300c\\(A\u2229B\\)\u3068\u306a\u308b\u78ba\u7387\\(P(A\u2229B)\\)\u300d\u3092\u5229\u7528\u3057\u3066\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(P(A|B)=\\displaystyle\\frac{P(A\u2229B)}{P(B)}\\)<\/li>\n<\/ul>\n<p>\u4e00\u3064\u306e\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30015\u304c\u51fa\u308b\u78ba\u7387\u306f\\(\\displaystyle\\frac{1}{6}\\)\u3067\u3059\u3002\u307e\u305f\u30b5\u30a4\u30b3\u30ed\u30922\u3064\u6295\u3052\u308b\u5834\u5408\u306f36\u901a\u308a\u306e\u65b9\u6cd5\u304c\u3042\u308a\u3001\u4e00\u3064\u306e\u76ee\u304c5\u306e\u3068\u304d\u306b\u76ee\u306e\u548c\u304c10\u4ee5\u4e0a\u306b\u306a\u308b\u306e\u306f(5,5)\u3068(5,6)\u306e2\u901a\u308a\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(P(A\u2229B)\\)\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(P(A\u2229B)=\\displaystyle\\frac{2}{36}=\\displaystyle\\frac{1}{18}\\)<\/p>\n<p>\u305d\u3053\u3067\u5148\u307b\u3069\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u3001\\(P(A|B)\\)\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(P(A|B)=\\displaystyle\\frac{1}{18}\u00f7\\displaystyle\\frac{1}{6}=\\displaystyle\\frac{1}{3}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u5148\u307b\u3069\u3068\u540c\u3058\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<span style=\"color: #0000ff;\">\u300c\u6761\u4ef6B\u304c\u767a\u751f\u3059\u308b\u78ba\u7387\uff08\u307e\u305f\u306f\u30a4\u30d9\u30f3\u30c8\u6570\uff09\u300d\u3068\u300c\u6761\u4ef6A\u3068\u6761\u4ef6B\u304c\u540c\u6642\u306b\u767a\u751f\u3059\u308b\u78ba\u7387\uff08\u307e\u305f\u306f\u30a4\u30d9\u30f3\u30c8\u6570\uff09\u300d\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p>\u516c\u5f0f\u3092\u899a\u3048\u305f\u3068\u3057\u3066\u3082\u3001\u4f55\u304c\u6761\u4ef6B\u306b\u5f53\u305f\u308b\u306e\u304b\u308f\u304b\u308a\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u6761\u4ef6B\u304c\u8d77\u3053\u308b\u3068\u304d\u306e\u30a4\u30d9\u30f3\u30c8\u6570\u307e\u305f\u306f\u78ba\u7387\u3092\u5229\u7528\u3057\u3001\u610f\u5473\u3092\u7406\u89e3\u3057\u305f\u3046\u3048\u3067\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u306a\u305c\u6761\u4ef6\u4ed8\u304d\u3092\u7406\u89e3\u3059\u308b\u306e\u304c\u91cd\u8981\u306a\u306e\u304b<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u306a\u305c\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u306a\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u3053\u306e\u7406\u7531\u3068\u3057\u3066\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u7406\u89e3\u3057\u3066\u3044\u306a\u3044\u3068\u307b\u3068\u3093\u3069\u306e\u30b1\u30fc\u30b9\u3067\u8aa4\u7b54\u3068\u306a\u308b\u554f\u984c\u304c\u591a\u3044\u304b\u3089\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>A\u3055\u3093\u306b\u306f2\u4eba\u306e\u5b50\u4f9b\u304c\u3044\u307e\u3059\u3002\u5b50\u4f9b\u306e\u3046\u3061\u3001\u4e00\u4eba\u306f\u7537\u6027\u3067\u3042\u308b\u3068\u308f\u304b\u3063\u3066\u3044\u307e\u3059\u3002\u3082\u3046\u4e00\u65b9\u306e\u6027\u5225\u304c\u7537\u6027\u3067\u3042\u308b\u78ba\u7387\u306f\u3044\u304f\u3089\u3067\u3057\u3087\u3046\u304b\u3002<\/li>\n<\/ul>\n<p>\u6050\u3089\u304f\u3001\u3042\u306a\u305f\u304c\u51fa\u3057\u305f\u7b54\u3048\u306f\\(\\displaystyle\\frac{1}{2}\\)\u3067\u306f\u306a\u3044\u3067\u3057\u3087\u3046\u304b\u3002\u300c\u4e00\u4eba\u306e\u5b50\u4f9b\u304c\u7537\u6027\u3067\u3042\u308b\u305f\u3081\u3001\u3082\u3046\u4e00\u65b9\u306e\u5b50\u4f9b\u304c\u7537\u6027\u3067\u306a\u308b\u78ba\u7387\u306f\\(\\displaystyle\\frac{1}{2}\\)\u306b\u306a\u308b\u300d\u3068\u591a\u304f\u306e\u4eba\u304c\u8003\u3048\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/ryy10.jpg\" alt=\"\" width=\"429\" height=\"184\" class=\"aligncenter size-full wp-image-5318\" \/><\/p>\n<p>\u305f\u3060\u3001<span style=\"color: #ff0000;\">\u7b54\u3048\u306f\\(\\displaystyle\\frac{1}{2}\\)\u3067\u306f\u306a\u304f\\(\\displaystyle\\frac{1}{3}\\)\u3067\u3059\u3002<\/span>\u306a\u305c\u3001\u3053\u306e\u3088\u3046\u306a\u7b54\u3048\u306b\u306a\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u5148\u307b\u3069\u306e\u30b5\u30a4\u30b3\u30ed\u306e\u554f\u984c\u3068\u6bd4\u3079\u3066\u4f55\u304c\u9055\u3046\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\u4e8c\u4eba\u306e\u5b50\u4f9b\u306e\u6027\u5225\u306b\u3064\u3044\u3066\u3001\u4ee5\u4e0b\u306e4\u901a\u308a\u306e\u65b9\u6cd5\u3092\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/ryy11.jpg\" alt=\"\" width=\"550\" height=\"159\" class=\"aligncenter size-full wp-image-5319\" \/><\/p>\n<p>\u3069\u308c\u3082\u7b49\u3057\u304f\\(\\displaystyle\\frac{1}{4}\\)\u306e\u78ba\u7387\u3068\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u91cd\u8981\u306a\u306e\u306f\u3001\u4e0e\u3048\u3089\u308c\u3066\u3044\u308b\u60c5\u5831\u304c\u300c\u4e00\u4eba\u304c\u7537\u6027\u3067\u3042\u308b\u300d\u3053\u3068\u3067\u3059\u3002\u5fc5\u305a\u3057\u3082\u3001\u6700\u521d\u306e\u5b50\u4f9b\u304c\u7537\u6027\u3067\u3042\u308b\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002\u4e8c\u4eba\u76ee\u306e\u5b50\u4f9b\u304c\u7537\u6027\u304b\u3082\u3057\u308c\u306a\u3044\u306e\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u6700\u521d\u306e\u5b50\u4f9b\u3092\u7537\u6027\u306b\u56fa\u5b9a\u3057\u3066\u306f\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u307e\u305f\u3001\u5c11\u306a\u304f\u3068\u3082\u4e00\u4eba\u306e\u5b50\u4f9b\u304c\u7537\u6027\u3067\u3042\u308b\u78ba\u7387\\(P(B)\\)\u306f\\(\\displaystyle\\frac{3}{4}\\)\u3067\u3059\u3002\u307e\u305f\u4e21\u65b9\u306e\u5b50\u4f9b\u304c\u7537\u6027\u3067\u3042\u308b\u78ba\u7387\\(P(A\u2229B)\\)\u306f\\(\\displaystyle\\frac{1}{4}\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4e00\u4eba\u306e\u5b50\u4f9b\u304c\u7537\u6027\u306e\u3068\u304d\u3001\u3082\u3046\u4e00\u65b9\u304c\u7537\u6027\u3067\u3042\u308b\u78ba\u7387\\(P(A|B)\\)\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(P(A|B)=\\displaystyle\\frac{1}{4}\u00f7\\displaystyle\\frac{3}{4}=\\displaystyle\\frac{1}{3}\\)<\/p>\n<p>\u53c2\u8003\u307e\u3067\u306b\u3001\u5148\u307b\u3069\u306e\u554f\u984c\u304c\u300c\u6700\u521d\u306b\u751f\u307e\u308c\u305f\u5b50\u4f9b\u304c\u7537\u6027\u3067\u3042\u308b\u3068\u308f\u304b\u3063\u3066\u3044\u308b\u5834\u5408\u3001\u4e8c\u756a\u76ee\u306b\u751f\u307e\u308c\u305f\u5b50\u4f9b\u306e\u6027\u5225\u304c\u7537\u6027\u3067\u3042\u308b\u78ba\u7387\u306f\u4f55\u304b\u300d\u3067\u3042\u308c\u3070\u3001\u7b54\u3048\u306f\\(\\displaystyle\\frac{1}{2}\\)\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u30b1\u30fc\u30b9\u3067\u3042\u308c\u3070\u3001\u4e00\u4eba\u76ee\u306e\u5b50\u4f9b\u306f\u7537\u6027\u3067\u3042\u308b\u3068\u56fa\u5b9a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u4e00\u4eba\u76ee\u3068\u4e8c\u4eba\u76ee\u306e\u3046\u3061\u3001\u3069\u3061\u3089\u304c\u7537\u6027\u306a\u306e\u304b\u308f\u304b\u3063\u3066\u3044\u306a\u3044\u5148\u307b\u3069\u306e\u554f\u984c\u3068\u306f\u5185\u5bb9\u304c\u7570\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u524d\u63d0\u6761\u4ef6\u306b\u3088\u3063\u3066\u3001\u78ba\u7387\u3067\u306f\u7b54\u3048\u304c\u9055\u3063\u3066\u304d\u307e\u3059\u3002<\/p>\n<h2>\u516c\u5f0f\u3092\u5909\u5f62\u3059\u308b\u3068\u3001\u78ba\u7387\u306e\u4e57\u6cd5\u5b9a\u7406\u306b\u306a\u308b<\/h2>\n<p>\u3053\u3053\u307e\u3067\u306e\u5185\u5bb9\u304c\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u8003\u3048\u65b9\u3067\u3059\u3002\u306a\u304a\u5148\u307b\u3069\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u8a08\u7b97\u3067\u304d\u308b\u3053\u3068\u3092\u8aac\u660e\u3057\u307e\u3057\u305f\u3002<\/p>\n<ul>\n<li>\\(P(A|B)=\\displaystyle\\frac{P(A\u2229B)}{P(B)}\\)<\/li>\n<\/ul>\n<p>\u305d\u3053\u3067\u3001\u3053\u306e\u516c\u5f0f\u3092\u5909\u5f62\u3057\u307e\u3057\u3087\u3046\u3002\u4e21\u8fba\u306b\\(P(B)\\)\u3092\u304b\u3051\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(P(A\u2229B)=P(A|B)\u00d7P(B)\\)<\/li>\n<\/ul>\n<p>\u3053\u308c\u3092<span style=\"color: #ff0000;\">\u78ba\u7387\u306e\u4e57\u6cd5\u5b9a\u7406<\/span>\u3068\u3044\u3044\u307e\u3059\u3002\u3064\u307e\u308a\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001A\u3068B\u304c\u540c\u6642\u306b\u8d77\u3053\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u516c\u5f0f\u3092\u899a\u3048\u308b\u5fc5\u8981\u306f\u306a\u304f\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u7406\u89e3\u3057\u3066\u3044\u308c\u3070\u3001\u516c\u5f0f\u3092\u5909\u5f62\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u78ba\u7387\u306e\u4e57\u6cd5\u5b9a\u7406\u3092\u5c0e\u304d\u51fa\u305b\u307e\u3059\u3002<\/p>\n<h3>\u78ba\u7387\u306e\u4e57\u6cd5\u5b9a\u7406\u3092\u5229\u7528\u3057\u3001\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u5b9f\u969b\u306b\u78ba\u7387\u306e\u4e57\u6cd5\u5b9a\u7406\u3092\u5229\u7528\u3057\u3066\u78ba\u7387\u306e\u8a08\u7b97\u3092\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u7279\u5b9a\u306e\u6761\u4ef6\u304c\u8d77\u3053\u308b\u78ba\u7387\\(P(B)\\)\u3068\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\\(P(A|B)\\)\u3092\u5229\u7528\u3057\u3001\u4e21\u65b9\u304c\u8d77\u3053\u308b\u78ba\u7387\\(P(A\u2229B)\\)\u3092\u8a08\u7b97\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>8\u672c\u306e\u3046\u3061\u30013\u672c\u306e\u5f53\u305f\u308a\u30af\u30b8\u304c\u3042\u308a\u307e\u3059\u3002A\u3055\u3093\u304c\u4e00\u672c\u306e\u30af\u30b8\u3092\u5f15\u304d\u3001\u30af\u30b8\u3092\u623b\u3055\u305a\u306b\u7d9a\u3051\u3066B\u3055\u3093\u304c\u5f15\u304d\u307e\u3059\u3002A\u3055\u3093\u3068B\u3055\u3093\u306e\u4e21\u65b9\u304c\u5f53\u305f\u308b\u78ba\u7387\u306f\u3044\u304f\u3089\u3067\u3057\u3087\u3046\u304b\u3002<\/li>\n<\/ul>\n<p>\u307e\u305a\u3001A\u3055\u3093\u304c\u5f53\u305f\u308a\u30af\u30b8\u3092\u5f15\u304f\u78ba\u7387\\(P(B)\\)\u306f\\(\\displaystyle\\frac{3}{8}\\)\u3067\u3059\u3002<\/p>\n<p>\u307e\u305fA\u3055\u3093\u304c\u5f53\u305f\u308a\u30af\u30b8\u3092\u5f15\u3044\u305f\u5f8c\u30017\u672c\u306e\u3046\u30612\u672c\u304c\u5f53\u305f\u308a\u30af\u30b8\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u3053\u306e\u72b6\u6cc1\u3067B\u3055\u3093\u304c\u5f53\u305f\u308a\u30af\u30b8\u3092\u5f15\u304f\u78ba\u7387\\(P(A|B)\\)\u306f\\(\\displaystyle\\frac{2}{7}\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001A\u3055\u3093\u3068B\u3055\u3093\u306e\u4e21\u65b9\u304c\u5f53\u305f\u308a\u30af\u30b8\u3092\u5f15\u304f\u78ba\u7387\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(P(A\u2229B)=\\displaystyle\\frac{3}{8}\u00d7\\displaystyle\\frac{2}{7}=\\displaystyle\\frac{3}{28}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u30012\u3064\u306e\u6761\u4ef6\u3092\u540c\u6642\u306b\u6e80\u305f\u3059\u78ba\u7387\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u7406\u89e3\u3057\u3066\u3044\u308c\u3070\u3001\u78ba\u7387\u306e\u4e57\u6cd5\u5b9a\u7406\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2>\u7279\u5b9a\u306e\u6761\u4ef6\u4e0b\u3067\u8d77\u3053\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b<\/h2>\n<p>\u78ba\u7387\u306e\u8a08\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306f\u5c11\u3057\u6982\u5ff5\u304c\u96e3\u3057\u3044\u3067\u3059\u3002\u307e\u305a\u3001\u300c\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u8a08\u7b97\u3092\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u300d\u3068\u6c17\u3065\u304f\u306e\u304c\u96e3\u3057\u3044\u30b1\u30fc\u30b9\u304c\u591a\u3044\u3067\u3059\u3002\u3053\u306e\u4f8b\u3068\u3057\u3066\u3001\u300c\u5b50\u4f9b\u4e8c\u4eba\u306e\u3046\u3061\u3001\u5c11\u306a\u304f\u3068\u3082\u4e00\u4eba\u304c\u7537\u6027\u3067\u3042\u308b\u3068\u308f\u304b\u3063\u3066\u3044\u308b\u30b1\u30fc\u30b9\u300d\u3092\u89e3\u8aac\u3057\u307e\u3057\u305f\u3002<\/p>\n<p>\u305d\u3053\u3067\u554f\u984c\u6587\u3092\u6ce8\u610f\u6df1\u304f\u8aad\u307f\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u6c42\u3081\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u3053\u3068\u3092\u898b\u629c\u304d\u307e\u3057\u3087\u3046\u3002\u7279\u5b9a\u306e\u4e8b\u8c61\u304c\u8d77\u3053\u308b\u30a4\u30d9\u30f3\u30c8\u6570\u3084\u78ba\u7387\u3092\u8a08\u7b97\u3057\u3001\u7b54\u3048\u3092\u5f97\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002\u516c\u5f0f\u3092\u899a\u3048\u3066\u3082\u8a08\u7b97\u306f\u96e3\u3057\u3044\u305f\u3081\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u306e\u8003\u3048\u65b9\u3092\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u307e\u305f\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308c\u3070\u3001\u516c\u5f0f\u3092\u5909\u5f62\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u78ba\u7387\u306e\u4e57\u6cd5\u5b9a\u7406\u3092\u5229\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u30022\u3064\u306e\u6761\u4ef6\u3092\u540c\u6642\u306b\u6e80\u305f\u3059\u78ba\u7387\u3092\u8a08\u7b97\u3057\u305f\u3044\u3068\u304d\u3001\u78ba\u7387\u306e\u4e57\u6cd5\u5b9a\u7406\u3092\u6d3b\u7528\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306f\u7d71\u8a08\u5b66\u3092\u7406\u89e3\u3059\u308b\u3068\u304d\u306b\u91cd\u8981\u306a\u77e5\u8b58\u3067\u3059\u3002\u305d\u3053\u3067\u7d71\u8a08\u5b66\u306e\u57fa\u672c\u3068\u3057\u3066\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u8a08\u7b97\u3092\u884c\u3048\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u9ad8\u6821\u6570\u5b66\u3084\u7d71\u8a08\u5b66\u3067\u5b66\u3076\u5206\u91ce\u306e\u4e00\u3064\u306b\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u304c\u3042\u308a\u307e\u3059\u3002\u7279\u5b9a\u306e\u6761\u4ef6\u304c\u8d77\u3053\u3063\u305f\u3068\u304d\u3001\u3042\u308b\u4e8b\u8c61\u304c\u8d77\u3053\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u306e\u304c\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3067\u3059\u3002 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