{"id":34132,"date":"2021-04-19T13:00:54","date_gmt":"2021-04-19T13:00:54","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=34132"},"modified":"2025-09-07T23:02:04","modified_gmt":"2025-09-07T23:02:04","slug":"%e6%9d%a1%e4%bb%b6%e4%bb%98%e3%81%8d%e7%a2%ba%e7%8e%87%e3%81%a8%e4%ba%8b%e8%b1%a1%e9%96%93%e3%81%ae%e7%8b%ac%e7%ab%8b%e6%80%a7","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ja\/%e6%9d%a1%e4%bb%b6%e4%bb%98%e3%81%8d%e7%a2%ba%e7%8e%87%e3%81%a8%e4%ba%8b%e8%b1%a1%e9%96%93%e3%81%ae%e7%8b%ac%e7%ab%8b%e6%80%a7\/","title":{"rendered":"\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3068\u4e8b\u8c61\u9593\u306e\u72ec\u7acb\u6027"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3068\u4e8b\u8c61\u9593\u306e\u72ec\u7acb\u6027<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u6982\u8981<\/strong><br \/><em>\u672c\u30bb\u30c3\u30b7\u30e7\u30f3\u3067\u306f\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u6982\u5ff5\u3068\u4e8b\u8c61\u9593\u306e\u76f8\u4e92\u4f5c\u7528\u3092\u63a2\u7a76\u3057\u307e\u3059\u3002\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u8a08\u7b97\u3057\u3001\u4e8b\u8c61\u306e\u4f9d\u5b58\u6027\u307e\u305f\u306f\u72ec\u7acb\u6027\u3092\u5224\u5b9a\u3059\u308b\u80fd\u529b\u3092\u8eab\u306b\u3064\u3051\u307e\u3059\u3002\u98f4\u3092\u5e38\u7fd2\u7684\u306b\u6442\u53d6\u3059\u308b\u4eba\u3005\u306b\u304a\u3051\u308b\u866b\u6b6f\u306e\u6709\u75c5\u7387\u306e\u7814\u7a76\u3068\u3044\u3063\u305f\u5b9f\u4f8b\u3092\u9069\u7528\u3057\u3001\u3053\u308c\u3089\u306e\u6982\u5ff5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u9069\u7528\u3057\u3001\u4f9d\u5b58\u4e8b\u8c61\u304a\u3088\u3073\u72ec\u7acb\u4e8b\u8c61\u3092\u5206\u6790\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u660e\u78ba\u306a\u7406\u89e3\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u7fd2\u76ee\u6a19:<\/strong><br \/>\n\u3053\u306e\u6388\u696d\u3092\u7d42\u3048\u308b\u3068\u3001\u4ee5\u4e0b\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059:\n<\/p>\n<ol>\n<li><strong>\u7406\u89e3\u3059\u308b<\/strong> \u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u5b9a\u7fa9\u3068\u3001\u305d\u308c\u304c\u4e8b\u8c61\u306e\u5171\u901a\u90e8\u5206\u304a\u3088\u3073\u500b\u3005\u306e\u78ba\u7387\u3068\u3069\u306e\u3088\u3046\u306b\u95a2\u9023\u3057\u3066\u3044\u308b\u304b\u3002<\/li>\n<li><strong>\u8b58\u5225\u3059\u308b<\/strong> \u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u6bd4\u8f03\u304b\u3089\u3001\u4e8b\u8c61\u9593\u306e\u6b63\u306e\u95a2\u9023\u304a\u3088\u3073\u8ca0\u306e\u95a2\u9023\u3002<\/li>\n<li><strong>\u8a3c\u660e\u3059\u308b<\/strong> \u7570\u306a\u308b\u4e8b\u8c61\u9593\u306e\u72ec\u7acb\u6027\u3002<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong><u>\u5185\u5bb9\u76ee\u6b21<\/u><\/strong><br \/>\n<a href=\"#1\">\u6761\u4ef6\u4ed8\u304d\u78ba\u7387<\/a><br \/>\n<a href=\"#2\">\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u5f62\u5f0f\u7684\u5b9a\u7fa9<\/a><br \/>\n<a href=\"#3\">\u4e8b\u8c61\u9593\u306e\u95a2\u4fc2<\/a><br \/>\n<a href=\"#4\">\u4e8b\u8c61\u306e\u72ec\u7acb\u6027\u3068\u88dc\u4e8b\u8c61<\/a>\n<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/rWzeKPNM-Ds\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center>\n<\/div>\n<p><a name=\"1\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h2>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=rWzeKPNM-Ds&amp;t=132s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u4e8b\u8c61A\u304c\u767a\u751f\u3059\u308b\u78ba\u7387<\/span><\/strong><\/a> \u306f\u3001\u3059\u3067\u306bB\u304c\u767a\u751f\u3057\u305f\u3068\u304d\u306b\u3069\u306e\u304f\u3089\u3044\u304b\uff1f \u3053\u306e\u7a2e\u306e\u78ba\u7387\u306e\u8a08\u7b97\u304c<strong>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387<\/strong>\u3068\u3044\u3046\u6982\u5ff5\u3092\u542b\u307f\u307e\u3059\u3002\u4ee5\u4e0b\u3067\u306f\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3001\u305d\u306e\u5b9a\u7fa9\u3001\u305d\u3057\u3066\u305d\u308c\u306b\u57fa\u3065\u3044\u3066\u4e8b\u8c61\u9593\u306e\u4f9d\u5b58\u6027\u304a\u3088\u3073\u72ec\u7acb\u6027\u304c\u3069\u306e\u3088\u3046\u306b\u63a8\u8ad6\u3055\u308c\u308b\u304b\u3092\u5b66\u3073\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u4f8b\u3048\u3070\u3001\u98f4\u3092\u7fd2\u6163\u7684\u306b\u6442\u53d6\u3059\u308b\u4eba\u3005\u306b\u304a\u3051\u308b\u866b\u6b6f\u306e\u6709\u75c5\u7387\u3092\u6e2c\u5b9a\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002\u3082\u3057 <span class=\"katex-eq\" data-katex-display=\"false\">N<\/span> \u4eba\u304b\u3089\u6210\u308b\u6a19\u672c\u7a7a\u9593 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_N,<\/span> \u3092\u8abf\u3079\u308b\u306a\u3089\u3001\u305d\u308c\u306f4\u3064\u306e\u90e8\u5206\u96c6\u5408\u306b\u5206\u3051\u3089\u308c\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059:<\/p>\n<ul style=\"text-align: justify;\">\n<li><span class=\"katex-eq\" data-katex-display=\"false\">A:=\\left\\{  {\u866b\u6b6f\u3092\u6301\u3064\u4eba\u3005}\\right\\}<\/span><\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">A^c:=\\left\\{{\u866b\u6b6f\u3092\u6301\u305f\u306a\u3044\u4eba\u3005}\\right\\}<\/span><\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">B:=\\left\\{  {\u5b9a\u671f\u7684\u306b\u7518\u3044\u7269\u3092\u98df\u3079\u308b\u4eba\u3005}\\right\\}<\/span><\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">B^c:=\\left\\{{\u5b9a\u671f\u7684\u306b\u7518\u3044\u7269\u3092\u98df\u3079\u306a\u3044\u4eba\u3005}\\right\\}<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u3053\u3053\u304b\u3089\u660e\u3089\u304b\u306a\u3088\u3046\u306b <span class=\"katex-eq\" data-katex-display=\"false\">A\\cup A^c = \\Omega_N<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">B\\cup B^c = \\Omega_N,<\/span> \u3067\u3059\u304c <span class=\"katex-eq\" data-katex-display=\"false\">A\\cap B<\/span> \u306f\u5fc5\u305a\u3057\u3082\u7a7a\u96c6\u5408\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u4e00\u822c\u7684\u306a\u72b6\u6cc1\u306f\u6b21\u306e\u56f3\u3067\u8868\u3055\u308c\u307e\u3059:<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-YZLH9zUJd2g\/YHzyLbaupDI\/AAAAAAAAE6c\/lpdThvvjvvsMYQqqIXelpU-Kcsd-uFWEwCLcBGAsYHQ\/s0\/probabilidad%2Bcondicional%2B1.PNG\" alt=\"\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\" class=\" aligncenter lazyload\" width=\"339\" height=\"273\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-YZLH9zUJd2g\/YHzyLbaupDI\/AAAAAAAAE6c\/lpdThvvjvvsMYQqqIXelpU-Kcsd-uFWEwCLcBGAsYHQ\/s0\/probabilidad%2Bcondicional%2B1.PNG\" alt=\"\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\" class=\" aligncenter lazyload\" width=\"339\" height=\"273\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=rWzeKPNM-Ds&amp;t=270s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u305d\u308c\u3067\u306f\u3001\u78ba\u7387\u306e\u5b9a\u7fa9\u3092\u601d\u3044\u51fa\u3059\u3068<\/span><\/strong><\/a> \u76f8\u5bfe\u5ea6\u6570\u306e\u6975\u9650\u3068\u3057\u3066\u8868\u3055\u308c\u308b\u306e\u3067\u3001\u7518\u3044\u7269\u3092\u6442\u53d6\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3055\u308c\u305f\u3068\u304d\u306b\u3001\u305d\u306e\u4eba\u304c\u866b\u6b6f\u3092\u6301\u3064\u78ba\u7387 <span class=\"katex-eq\" data-katex-display=\"false\">P(A|B)<\/span> \u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059:<\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A|B) =\\displaystyle \\frac{\\#(A\\cap B)}{\\#B}<\/span>\n<p style=\"text-align: justify;\">\u4e00\u65b9\u3067\u3001\u6b21\u306e\u95a2\u4fc2\u304c\u6210\u308a\u7acb\u3061\u307e\u3059:<\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A\\cap B) = \\displaystyle \\frac{\\#(A\\cap B)}{\\#\\Omega_N}<\/span>\n<p style=\"text-align: justify;\">\u21b3 <span class=\"katex-eq\" data-katex-display=\"false\">\\#(A\\cap B) = \\#\\Omega_N P(A\\cap B)<\/span>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(B) =\\displaystyle \\frac{\\#B}{\\#\\Omega_N} <\/span>\n<p style=\"text-align: justify;\">\u21b3 <span class=\"katex-eq\" data-katex-display=\"false\">\\#B = \\#\\Omega_N P(B)<\/span>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\">\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u308c\u30892\u3064\u306e\u5f0f\u3092 <span class=\"katex-eq\" data-katex-display=\"false\">P(A|B)<\/span> \u306b\u4ee3\u5165\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059:<\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A|B) = \\displaystyle \\frac{\\#\\Omega_N P(A\\cap B)}{\\#\\Omega_N P(B)} = \\frac{P(A\\cap B)}{P(B)} <\/span>\n<p style=\"text-align: justify;\">\u3053\u308c\u306b\u3088\u308a\u3001\u6b21\u306e\u5b9a\u7fa9\u304c\u6210\u7acb\u3057\u307e\u3059<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #800000;\"><br \/>\n<a name=\"2\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h2>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u5f62\u5f0f\u7684\u5b9a\u7fa9<\/h2>\n<p><strong>\u5b9a\u7fa9:<\/strong><\/span> <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u304c\u8d77\u3053\u3063\u305f\u3068\u304d\u306e <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u306e\u78ba\u7387\u3001\u3059\u306a\u308f\u3061 <span class=\"katex-eq\" data-katex-display=\"false\">P(A|B)<\/span> \u306f\u3001\u6b21\u306e\u95a2\u4fc2\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center; background-color: #b0ffb0;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A|B) = \\displaystyle \\frac{P(A\\cap B)}{P(B)}<\/span>\u25a0<\/p>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=rWzeKPNM-Ds&amp;t=418s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u65e5\u5e38\u7684\u306a\u601d\u8003\u306b\u304a\u3044\u3066\u306f<\/span><\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">P(A|B)<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">P(B|A)<\/span> \u306e\u9593\u306b\u3042\u308b\u7a2e\u306e\u6df7\u540c\u304c\u751f\u3058\u3084\u3059\u3044\u50be\u5411\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u9055\u3044\u3092\u660e\u3089\u304b\u306b\u3059\u308b\u305f\u3081\u306b\u3001\u6975\u7aef\u306a\u4f8b\u306b\u57fa\u3065\u3044\u305f\u4e8b\u4f8b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u3059\u3079\u3066\u306e\u30b5\u30c3\u30ab\u30fc\u9078\u624b\u306f\u4e8c\u672c\u306e\u811a\u3092\u6301\u3063\u3066\u3044\u307e\u3059\u304c\u3001\u4e8c\u672c\u306e\u811a\u3092\u6301\u3064\u4eba\u3005\u306e\u3046\u3061\u30b5\u30c3\u30ab\u30fc\u9078\u624b\u3067\u3042\u308b\u306e\u306f\u3054\u304f\u4e00\u90e8\u306b\u904e\u304e\u307e\u305b\u3093\u3002<\/p>\n<p><a name=\"3\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h2>\u4e8b\u8c61\u9593\u306e\u95a2\u4fc2<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=rWzeKPNM-Ds&amp;t=534s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u98f4\u306e\u6d88\u8cbb\u3068\u866b\u6b6f\u306e\u6709\u75c5\u7387\u306e\u4f8b\u306b\u623b\u308b\u3068<\/span><\/strong><\/a>\u3001\u3082\u3057\u7518\u3044\u7269\u306e\u6442\u53d6\u304c\u4eba\u3005\u3092\u866b\u6b6f\u306b\u304b\u304b\u308a\u3084\u3059\u304f\u3059\u308b\u306a\u3089\u3070\u3001\u6b21\u306e\u95a2\u4fc2\u304c\u6210\u308a\u7acb\u3064\u306f\u305a\u3067\u3059\u3002<\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A|B) \\gt P(A).<\/span>\u3053\u306e\u5834\u5408\u3001<span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u306f <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u3092\u5f37\u3081\u308b\u305f\u3081\u3001\u3053\u308c\u3089\u306e\u4e8b\u8c61\u306e\u9593\u306b\u306f<strong>\u6b63\u306e\u95a2\u9023<\/strong>\u304c\u3042\u308b\u3068\u8a00\u3044\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u9006\u306b\u3001\u7518\u3044\u7269\u306e\u6442\u53d6\u304c\u866b\u6b6f\u3092\u9632\u3050\u306e\u3067\u3042\u308c\u3070\u3001\u6b21\u306e\u95a2\u4fc2\u304c\u6210\u308a\u7acb\u3064\u306f\u305a\u3067\u3059:<\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A|B) \\lt P(A).<\/span>\u3053\u306e\u5834\u5408\u3001<span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u306f <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u3092\u6291\u5236\u3059\u308b\u305f\u3081\u3001\u3053\u308c\u3089\u306e\u4e8b\u8c61\u306e\u9593\u306b\u306f<strong>\u8ca0\u306e\u95a2\u9023<\/strong>\u304c\u3042\u308b\u3068\u8a00\u3044\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u305d\u3057\u3066\u3001\u3082\u3057\u3053\u308c\u3089\u4e8c\u3064\u306e\u4e8b\u8c61\u306e\u9593\u306b\u6b63\u3067\u3082\u8ca0\u3067\u3082\u306a\u3044\u95a2\u4fc2\u304c\u5b58\u5728\u3057\u306a\u3051\u308c\u3070\u3001\u6b21\u306e\u95a2\u4fc2\u304c\u6210\u308a\u7acb\u3064\u306f\u305a\u3067\u3059\u3002<\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A|B) = P(A).<\/span>\u3053\u3053\u304b\u3089\u3001\u78ba\u7387\u306b\u95a2\u3059\u308b\u591a\u304f\u306e\u6559\u79d1\u66f8\u3067\u5b9a\u7fa9\u3068\u3057\u3066\u63d0\u793a\u3055\u308c\u308b\u63a8\u8ad6\u304c\u5c0e\u304b\u308c\u307e\u3059:<\/p>\n<table style=\"text-align: justify;\">\n<tbody>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">P(A|B) = P(A)<\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\equiv<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{P(A\\cap B)}{P(B)} = P(A)<\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\equiv<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">P(A\\cap B)= P(A) P(B)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u3053\u306e\u63a8\u8ad6\u306f\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3068\u4e8b\u8c61\u306e\u72ec\u7acb\u6027\u3068\u306e\u95a2\u4fc2\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #800000;\"><strong>\u5b9a\u7fa9:<\/strong><\/span> \u4e8c\u3064\u306e\u4e8b\u8c61 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u304c\u6b21\u306e\u95a2\u4fc2\u3092\u6e80\u305f\u3059\u3068\u304d\u3001\u3053\u308c\u3089\u306f<strong>\u72ec\u7acb<\/strong>\u3067\u3042\u308b\u3068\u8a00\u3044\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center; background-color: #b0ffb0;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\color{black}{P(A\\cap B)= P(A) P(B)}<\/span>\u25a0<\/p>\n<p><a name=\"4\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h2>\u4e8b\u8c61\u3068\u305d\u306e\u88dc\u4e8b\u8c61\u306e\u72ec\u7acb\u6027<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=rWzeKPNM-Ds&amp;t=662s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u4e8c\u3064\u306e\u4e8b\u8c61<\/span><\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u306e\u72ec\u7acb\u6027\u306f\u3001<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">B^c<\/span>\u3001<span class=\"katex-eq\" data-katex-display=\"false\">A^c<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span>\u3001\u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">A^c<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">B^c<\/span> \u306e\u72ec\u7acb\u6027\u3068\u540c\u5024\u3067\u3042\u308b\u3053\u3068\u304c\u8a3c\u660e\u3055\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000080;\"><strong>\u8a3c\u660e<\/strong><\/span><\/p>\n<table style=\"text-align: justify;\">\n<tbody>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(1)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B) = P(A)P(B)\\}\\vdash P(A\\cap B) = P(A)P(B)<\/span><\/td>\n<td>; \u4eee\u5b9a<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(2)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B) = P(A)P(B)\\}\\vdash P(A\\cap B^c) = P(A\\setminus B)<\/span><\/td>\n<td>; \u306a\u305c\u306a\u3089 <span class=\"katex-eq\" data-katex-display=\"false\"> A\\cap B^c := A\\setminus B <\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(3)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> \\{P(A\\cap B) = P(A)P(B)\\}\\vdash P(A\\setminus B)= P(A) - P(A\\cap B)<\/span><\/td>\n<td>; <a href=\"https:\/\/toposuranos.com\/probabilidades-y-estadistica-ejercicios-de-teoria\/\" rel=\"noopener\" target=\"_blank\">\u6f14\u7fd22\u306e\u5c55\u958b\u3092\u53c2\u7167<\/a><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(4)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B) = P(A)P(B)\\}\\vdash P(A\\cap B^c)= P(A) - P(A\\cap B)<\/span><\/td>\n<td>; (2) \u3068 (3) \u3088\u308a<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(5)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B) = P(A)P(B)\\}\\vdash P(A\\cap B^c)= P(A) - P(A)P(B)<\/span><\/td>\n<td>; (1) \u3068 (4) \u3088\u308a<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B) = P(A)P(B)\\}\\vdash P(A\\cap B^c)= P(A)(1 -P(B))<\/span><\/td>\n<td>; <span class=\"katex-eq\" data-katex-display=\"false\">P(A)<\/span> \u3067\u56e0\u6570\u5206\u89e3<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\color{red}{\\{P(A\\cap B) = P(A)P(B)\\}\\vdash P(A\\cap B^c)= P(A)P(B^c)}<\/span><\/td>\n<td>; <a href=\"https:\/\/toposuranos.com\/probabilidades-y-estadistica-ejercicios-de-teoria\/\" rel=\"noopener\" target=\"_blank\">\u6f14\u7fd21\u306e\u5c55\u958b\u3092\u53c2\u7167<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u3053\u306e\u6700\u5f8c\u306e\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u8aad\u307e\u308c\u307e\u3059: \u300c<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u304c\u72ec\u7acb\u3067\u3042\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u304b\u3089\u3001<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">B^c<\/span> \u3082\u72ec\u7acb\u3067\u3042\u308b\u3053\u3068\u304c\u63a8\u8ad6\u3055\u308c\u308b\u3002\u300d<\/p>\n<p style=\"text-align: justify;\">\u9006\u65b9\u5411\u306e\u8a3c\u660e\u3082\u540c\u69d8\u306e\u65b9\u6cd5\u3067\u884c\u308f\u308c\u307e\u3059\u3002<\/p>\n<table style=\"text-align: justify;\">\n<tbody>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(1)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B^c) = P(A)P(B^c)\\}\\vdash P(A\\cap B^c) = P(A)P(B^c)<\/span><\/td>\n<td>; \u4eee\u5b9a<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B^c) = P(A)P(B^c)\\}\\vdash P(A\\cap B^c) = P(A)(1 - P(B))<\/span><\/td>\n<td>; <a href=\"https:\/\/toposuranos.com\/probabilidades-y-estadistica-ejercicios-de-teoria\/\" rel=\"noopener\" target=\"_blank\">\u6f14\u7fd21\u306e\u5c55\u958b\u3092\u53c2\u7167<\/a><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B^c) = P(A)P(B^c)\\}\\vdash P(A\\cap B^c) = P(A) - P(A)P(B)<\/span><\/td>\n<td>; \u53f3\u8fba\u306e\u62ec\u5f27\u3092\u5c55\u958b\u3059\u308b\u3053\u3068\u3067<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(2)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B^c) = P(A)P(B^c)\\}\\vdash P(A\\cap B^c) = P(A\\setminus B)<\/span><\/td>\n<td>; \u306a\u305c\u306a\u3089 <span class=\"katex-eq\" data-katex-display=\"false\">A\\setminus B := A\\cap B^c<\/span>.<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(3)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B^c) = P(A)P(B^c)\\}\\vdash P(A\\setminus B) = P(A) - P(A\\cap B) <\/span><\/td>\n<td>; <a href=\"https:\/\/toposuranos.com\/probabilidades-y-estadistica-ejercicios-de-teoria\/\" rel=\"noopener\" target=\"_blank\">\u6f14\u7fd22\u306e\u5c55\u958b\u3092\u53c2\u7167<\/a><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(4)<\/span><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\{P(A\\cap B^c) = P(A)P(B^c)\\}\\vdash P(A) - P(A)P(B) = P(A) - P(A\\cap B) <\/span><\/td>\n<td>; (1), (2) \u304a\u3088\u3073 (3) \u3088\u308a<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\color{red}{\\{P(A\\cap B^c) = P(A)P(B^c)\\}\\vdash P(A)P(B) = P(A\\cap B)} <\/span><\/td>\n<td>; \u540c\u985e\u9805\u3092\u6d88\u53bb\u3057\u3066<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u305d\u3057\u3066\u3053\u306e\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u8aad\u307e\u308c\u307e\u3059: \u300c<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">B^c<\/span> \u304c\u72ec\u7acb\u3067\u3042\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u304b\u3089\u3001<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u3082\u72ec\u7acb\u3067\u3042\u308b\u3053\u3068\u304c\u63a8\u8ad6\u3055\u308c\u308b\u3002\u300d<\/p>\n<p style=\"text-align: justify;\">\u6700\u7d42\u7684\u306b\u3001\u3053\u308c\u3089\u4e8c\u3064\u306e\u63a8\u8ad6\u304b\u3089\u3001<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u306e\u72ec\u7acb\u6027\u3068 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">B^c<\/span> \u306e\u72ec\u7acb\u6027\u3068\u306e\u9593\u306b\u540c\u5024\u95a2\u4fc2\u304c\u6210\u7acb\u3059\u308b\u3053\u3068\u304c\u8a3c\u660e\u3055\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u4ed6\u306e\u540c\u5024\u95a2\u4fc2\u306b\u3064\u3044\u3066\u3082\u540c\u69d8\u306e\u65b9\u6cd5\u3067\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3089\u306f\u6311\u6226\u8ab2\u984c\u3068\u3057\u3066\u6b8b\u3055\u308c\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3068\u4e8b\u8c61\u9593\u306e\u72ec\u7acb\u6027 \u6982\u8981\u672c\u30bb\u30c3\u30b7\u30e7\u30f3\u3067\u306f\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u6982\u5ff5\u3068\u4e8b\u8c61\u9593\u306e\u76f8\u4e92\u4f5c\u7528\u3092\u63a2\u7a76\u3057\u307e\u3059\u3002\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u8a08\u7b97\u3057\u3001\u4e8b\u8c61\u306e\u4f9d\u5b58\u6027\u307e\u305f\u306f\u72ec\u7acb\u6027\u3092\u5224\u5b9a\u3059\u308b\u80fd\u529b\u3092\u8eab\u306b\u3064\u3051\u307e\u3059\u3002\u98f4\u3092\u5e38\u7fd2\u7684\u306b\u6442\u53d6\u3059\u308b\u4eba\u3005\u306b\u304a\u3051\u308b\u866b\u6b6f\u306e\u6709\u75c5\u7387\u306e\u7814\u7a76\u3068\u3044\u3063\u305f\u5b9f\u4f8b\u3092\u9069\u7528\u3057\u3001\u3053\u308c\u3089\u306e\u6982\u5ff5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3092\u9069\u7528\u3057\u3001\u4f9d\u5b58\u4e8b\u8c61\u304a\u3088\u3073\u72ec\u7acb\u4e8b\u8c61\u3092\u5206\u6790\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u660e\u78ba\u306a\u7406\u89e3\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u5b66\u7fd2\u76ee\u6a19: \u3053\u306e\u6388\u696d\u3092\u7d42\u3048\u308b\u3068\u3001\u4ee5\u4e0b\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059: \u7406\u89e3\u3059\u308b \u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u5b9a\u7fa9\u3068\u3001\u305d\u308c\u304c\u4e8b\u8c61\u306e\u5171\u901a\u90e8\u5206\u304a\u3088\u3073\u500b\u3005\u306e\u78ba\u7387\u3068\u3069\u306e\u3088\u3046\u306b\u95a2\u9023\u3057\u3066\u3044\u308b\u304b\u3002 \u8b58\u5225\u3059\u308b \u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u6bd4\u8f03\u304b\u3089\u3001\u4e8b\u8c61\u9593\u306e\u6b63\u306e\u95a2\u9023\u304a\u3088\u3073\u8ca0\u306e\u95a2\u9023\u3002 \u8a3c\u660e\u3059\u308b \u7570\u306a\u308b\u4e8b\u8c61\u9593\u306e\u72ec\u7acb\u6027\u3002 \u5185\u5bb9\u76ee\u6b21 \u6761\u4ef6\u4ed8\u304d\u78ba\u7387 \u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u5f62\u5f0f\u7684\u5b9a\u7fa9 \u4e8b\u8c61\u9593\u306e\u95a2\u4fc2 \u4e8b\u8c61\u306e\u72ec\u7acb\u6027\u3068\u88dc\u4e8b\u8c61 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