{"id":5293,"date":"2025-12-24T17:20:36","date_gmt":"2025-12-24T08:20:36","guid":{"rendered":"https:\/\/math-travel.com\/?p=5293"},"modified":"2026-02-11T17:04:30","modified_gmt":"2026-02-11T08:04:30","slug":"conditional-probability","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-a\/conditional-probability\/","title":{"rendered":"\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u516c\u5f0f\u3068\u89e3\u304d\u65b9\uff01\u539f\u56e0\u306e\u78ba\u7387\u3084\u7a4d\u306e\u6cd5\u5247\u3068\u306e\u9055\u3044\u3092\u5206\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac"},"content":{"rendered":"\n<p><span class=\"huto\">\u300c\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u6c42\u3081\u65b9\u304c\u5206\u304b\u3089\u306a\u3044\u300d<\/span><br><span class=\"huto\">\u300c\u305f\u3060\u306e\u78ba\u7387\u3068\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u898b\u5206\u3051\u65b9\u304c\u5206\u304b\u3089\u306a\u3044\u300d<\/span><\/p>\n\n\n\n<p>\u4eca\u56de\u306f\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306b\u95a2\u3059\u308b\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi5-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u898b\u5206\u3051\u304c\u3064\u304b\u306a\u304f\u3066\u2026<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<p>\u3042\u308b\u4e8b\u8c61A\u304c\u8d77\u3053\u308b\u6761\u4ef6\u306e\u3082\u3068\u3067\u3001\u4e8b\u8c61B\u304c\u8d77\u3053\u308b\u78ba\u7387\u3092<span class=\"huto\">\u6761\u4ef6\u4ed8\u304d\u78ba\u7387<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\\(P_{A}(B)\\)\u306f\u6b21\u306e\u516c\u5f0f\u3067\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387<\/span><\/div><div class=\"cap_box_content\">\n<p>\\(\\displaystyle P_{A}(B)=\\frac{P(A \\cap B)}{P(A)}\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u672c\u8a18\u4e8b\u3067\u306f\u3001<span class=\"hutoaka\">\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u516c\u5f0f\u3068\u305d\u306e\u6c42\u3081\u65b9\u306b\u3064\u3044\u3066\u89e3\u8aac<\/span>\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"toha\">\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3068\u306f\uff1f<\/h2>\n\n\n\n<p>\u3042\u308b\u4e8b\u8c61A\u304c\u8d77\u3053\u308b\u3068\u3044\u3046\u6761\u4ef6\u306e\u3082\u3068\u3067\u3001\u4e8b\u8c61B\u304c\u8d77\u3053\u308b\u78ba\u7387\u3092\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\\(P_{A}(B)\\)\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"is-style-bg_stripe\">\u30b5\u30a4\u30b3\u30ed\u30921\u56de\u632f\u3063\u3066\u5076\u6570\u304c\u51fa\u307e\u3057\u305f\u3002\u305d\u3057\u3066\u3001\u305d\u306e\u76ee\u304c2\u3067\u3042\u308b\u78ba\u7387\u306f\u3044\u304f\u3064\u3067\u3059\u304b\uff1f<\/p>\n\n\n\n<p>\u3053\u306e\u554f\u984c\u306b\u306f\u300c\u30b5\u30a4\u30b3\u30ed\u30921\u56de\u632f\u3063\u3066\u5076\u6570\u304c\u51fa\u305f\u300d\u3068\u3044\u3046\u6761\u4ef6\u304c\u3042\u308b\u306e\u3067\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u554f\u984c\u3067\u3059\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi7-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u6761\u4ef6\u304c\u4ed8\u3044\u3066\u3044\u308b\u3082\u306e\u304c\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306a\u3093\u3060\u306d<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"kousiki\">\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u516c\u5f0f<\/h2>\n\n\n\n<p>\u4e8b\u8c61A\u304c\u8d77\u304d\u308b\u78ba\u7387\u3092\\(P(A)\\),\u4e8b\u8c61B\u304c\u8d77\u304d\u308b\u78ba\u7387\u3092\\(P(B)\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\u4e8b\u8c61A\u304c\u8d77\u304d\u308b\u3068\u304d\u306b\u4e8b\u8c61B\u3082\u8d77\u304d\u308b\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\\(P_{A}(B)\\)\u306f\u4ee5\u4e0b\u306e\u516c\u5f0f\u3067\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387<\/span><\/div><div class=\"cap_box_content\">\n<p>\\(\\displaystyle P_{A}(B)=\\frac{P(A \\cap B)}{P(A)}\\)<\/p>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"motomekata\">\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u6c42\u3081\u65b9<\/h2>\n\n\n\n<p>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\\(P_{A}(B)\\)\u3092\u6c42\u3081\u308b\u306b\u306f\u3001<\/p>\n\n\n\n<div class=\"graybox\">\n<ul style=\"margin-bottom: 0px;\">\n<li><span class=\"huto\">\\(P(A)\\)<\/span><\/li>\n<li><span class=\"huto\">\\(P(A \\cap B)\\)<\/span><\/li>\n<\/ul>\n<\/div>\n\n\n\n<p>\u3053\u306e2\u3064\u3092\u6c42\u3081\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"is-style-bg_stripe\">\\(P(A)\\)\u306f\u4e8b\u8c61A\u304c\u8d77\u304d\u308b\u78ba\u7387\u3067\u3001<br>\\(P(A \\cap B)\\)\u306f\u4e8b\u8c61A\u3068\u4e8b\u8c61B\u304c\u3069\u3061\u3089\u3082\u8d77\u304d\u308b\u78ba\u7387\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\\(P_{A}(B)\\)\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u4e8b\u8c61A\u306e\u78ba\u7387\\(P(A)\\)\u3068\u4e8b\u8c61A\u3068\u4e8b\u8c61B\u304c\u540c\u6642\u306b\u8d77\u304d\u308b\u78ba\u7387\\(P(A \\cap B)\\)\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"mondai\">\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u554f\u984c<\/h2>\n\n\n\n<p>\u4ee5\u4e0b\u306e2\u3064\u306e\u78ba\u7387\u306f\u540c\u3058\u3060\u3068\u601d\u3044\u307e\u3059\u304b\uff1f<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u30b5\u30a4\u30b3\u30ed\u30921\u56de\u632f\u3063\u3066\u30012\u306e\u76ee\u304c\u51fa\u308b\u78ba\u7387<\/p>\n\n\n\n<p>\u30b5\u30a4\u30b3\u30ed\u30921\u56de\u632f\u3063\u3066\u5076\u6570\u304c\u51fa\u307e\u3057\u305f\u3002\u305d\u306e\u76ee\u304c2\u3067\u3042\u308b\u78ba\u7387<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3069\u3061\u3089\u3082\u30b5\u30a4\u30b3\u30ed\u30921\u56de\u6295\u3052\u30662\u306e\u76ee\u304c\u51fa\u3066\u3044\u308b\u306e\u3067\u30012\u3064\u3068\u3082\u78ba\u7387\u306f\u540c\u3058\u306b\u611f\u3058\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p>\u3057\u304b\u3057\u3001\u5b9f\u969b\u306e\u78ba\u7387\u306f\u9055\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p><span class=\"oomozi\">1.\u30b5\u30a4\u30b3\u30ed\u30921\u56de\u632f\u3063\u3066\u30012\u306e\u76ee\u304c\u51fa\u308b\u78ba\u7387<\/span><\/p>\n\n\n\n<p>\u30b5\u30a4\u30b3\u30ed\u30921\u56de\u6295\u3052\u3066\u30012\u306e\u76ee\u304c\u51fa\u308b\u78ba\u7387\u306f\\(\\displaystyle \\frac{1}{6}\\)\u3067\u3059\u3002<\/p>\n\n\n\n<p><span class=\"oomozi\">2.\u30b5\u30a4\u30b3\u30ed\u30921\u56de\u632f\u3063\u3066\u5076\u6570\u304c\u51fa\u307e\u3057\u305f\u3002\u305d\u306e\u76ee\u304c2\u3067\u3042\u308b\u78ba\u7387<\/span><\/p>\n\n\n\n<p>\u3053\u308c\u306b\u306f<span class=\"yellow-hoso\">\u51fa\u305f\u76ee\u304c\u5076\u6570\u3067\u3042\u308b\u3068\u3044\u3046\u6761\u4ef6<\/span>\u304c\u4ed8\u3044\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u78ba\u7387\u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"graybox\">\\(P(A)\\)\uff1a\u30b5\u30a4\u30b3\u30ed\u30921\u56de\u6295\u3052\u3066\u5076\u6570\u304c\u51fa\u308b\u78ba\u7387<br>\\(P(B)\\)\uff1a\u30b5\u30a4\u30b3\u30ed\u30921\u56de\u6295\u3052\u30662\u306e\u76ee\u304c\u51fa\u308b\u78ba\u7387<\/div>\n\n\n\n<p>\u4eca\u56de\u306f\u3001\u4e8b\u8c61A\u306e\u6761\u4ef6\u3067\u4e8b\u8c61B\u304c\u8d77\u304d\u308b\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\\(P_{A}(B)\\)\u3092\u6c42\u3081\u308b\u554f\u984c\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<span class=\"huto\">\\(P(A)\\)\u3068\\(P(A \\cap B)\\)\u3092\u6c42\u3081\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u4e8b\u8c61A\u306f\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u3066\u5076\u6570\u76ee\u304c\u51fa\u308b\u78ba\u7387\u306a\u306e\u3067<\/p>\n\n\n\n<p>\\(\\displaystyle P(A)=\\frac{3}{6}=\\frac{1}{2}\\)<\/p>\n\n\n\n<p>\u4e8b\u8c61A\u3068\u4e8b\u8c61B\u304c\u540c\u6642\u306b\u8d77\u304d\u308b\u78ba\u7387\u306f\u3001<\/p>\n\n\n\n<p>\\(\\displaystyle P(A \\cap B)=\\frac{1}{6}\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6c42\u3081\u308b\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\\(P_{A}(B)\\)\u306f<\/p>\n\n\n\n<p>\\(\\displaystyle P_{A}(B)=\\frac{P(A \\cap B)}{P(A)}=\\frac{\\frac{1}{6}}{\\frac{1}{2}}=\\frac{1}{3}\\)<\/p>\n\n\n\n<p>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u3001\u4ee5\u4e0b\u306e2\u3064\u306f<span class=\"hutoaka\">\u7570\u306a\u308b\u78ba\u7387<\/span>\u3067\u3042\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u30b5\u30a4\u30b3\u30ed\u30921\u56de\u632f\u3063\u3066\u30012\u306e\u76ee\u304c\u51fa\u308b\u78ba\u7387\u3000\u21d2\u3000\\(\\frac{1}{6}\\)<\/p>\n\n\n\n<p>\u30b5\u30a4\u30b3\u30ed\u30921\u56de\u632f\u3063\u3066\u5076\u6570\u304c\u51fa\u307e\u3057\u305f\u3002\u305d\u306e\u76ee\u304c2\u3067\u3042\u308b\u78ba\u7387\u3000\u21d2\u3000\\(\\frac{1}{3}\\)<\/p>\n<\/div><\/div>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi6-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u5b9f\u969b\u306b\u8a08\u7b97\u3057\u3066\u307f\u308b\u3068\u3053\u3093\u306a\u306b\u9055\u3046\u3093\u3060\u306d\u3002<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"miwake\">\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u898b\u5206\u3051\u65b9<\/h2>\n\n\n\n<p>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u898b\u5206\u3051\u65b9\u306f\u7c21\u5358\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u6c42\u3081\u305f\u3044\u78ba\u7387\u306b\u524d\u63d0\u3068\u306a\u308b\u6761\u4ef6\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3067\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u78ba\u7387\u306e\u554f\u984c<\/span><\/div><div class=\"cap_box_content\">\n<ol class=\"wp-block-list\">\n<li>\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30663\u306e\u76ee\u304c\u51fa\u308b\u78ba\u7387<\/li>\n\n\n\n<li>\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u3066\u5947\u6570\u304c\u51fa\u307e\u3057\u305f\u3002\u51fa\u305f\u76ee\u304c3\u306e\u78ba\u7387<\/li>\n\n\n\n<li>\u30b3\u30a4\u30f3\u30922\u679a\u6295\u3052\u307e\u3057\u305f\u3002\uff12\u679a\u3068\u3082\u8868\u3067\u3042\u308b\u78ba\u7387<\/li>\n\n\n\n<li>\u30b3\u30a4\u30f3\u30922\u679a\u6295\u3052\u30661\u679a\u306f\u8868\u3067\u3057\u305f\u3002\u3082\u30461\u679a\u3082\u8868\u3067\u3042\u308b\u78ba\u7387<\/li>\n<\/ol>\n<\/div><\/div>\n\n\n\n<p>\u4e0a\u306b\u3042\u3052\u305f4\u3064\u306e\u78ba\u7387\u306e\u306a\u304b\u3067\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306f2,4\u306e2\u3064\u3067\u3059\u3002<\/p>\n\n\n\n<p>2\u306b\u306f\u300c\u5947\u6570\u304c\u51fa\u305f\u300d\u3068\u3044\u3046\u6761\u4ef6\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>4\u3067\u3082\u300c1\u679a\u306f\u8868\u300d\u3068\u3044\u3046\u6761\u4ef6\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u3001<span class=\"huto\">\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u554f\u984c\u3092\u898b\u5206\u3051\u308b\u65b9\u6cd5\u306f\u300c<span class=\"hutoaka\">\u524d\u63d0\u3068\u306a\u308b\u6761\u4ef6\u304c\u3042\u308b\u304b\u5426\u304b<\/span>\u300d\u3067\u3059\u3002<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"rensyuu\">\u7df4\u7fd2\u554f\u984c\u300a\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u300b<\/h2>\n\n\n\n<p>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u554f\u984c\u306b\u6311\u6226\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7df4\u7fd2\u554f\u984c1<\/span><\/div><div class=\"cap_box_content\">\n<p>\u30b5\u30a4\u30b3\u30ed\u30922\u56de\u6295\u3052\u3066\u51fa\u305f\u76ee\u306e\u548c\u304c9\u4ee5\u4e0a\u3068\u306a\u308b\u78ba\u7387\u306f\u3044\u304f\u3089\u3067\u3057\u3087\u3046\u304b\u3002\u305f\u3060\u3057\u30011\u56de\u76ee\u306b\u51fa\u305f\u76ee\u306f4\u3067\u3057\u305f\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u308c\u306f1\u56de\u76ee\u306b4\u306e\u76ee\u304c\u51fa\u305f\u3068\u3044\u3046\u6761\u4ef6\u304c\u4ed8\u3044\u3066\u3044\u307e\u3059\u3002<br>\u3057\u305f\u304c\u3063\u3066\u3001\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u554f\u984c\u3060\u3068\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"graybox\">\\(P(A)\\)\uff1a1\u56de\u76ee\u306b\u6295\u3052\u305f\u30b5\u30a4\u30b3\u30ed\u30674\u306e\u76ee\u304c\u51fa\u308b\u78ba\u7387<br>\\(P(B)\\)\uff1a\u30b5\u30a4\u30b3\u30ed\u30922\u56de\u6295\u3052\u3066\u3001\u51fa\u305f\u76ee\u306e\u548c\u304c9\u4ee5\u4e0a\u306e\u78ba\u7387<\/div>\n\n\n\n<p>\u3068\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u554f\u984c\u306f\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\\(P_{A}(B)\\)\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\\(P_{A}(B)\\)\u306f<\/p>\n\n\n\n<p>\\(\\displaystyle P_{A}(B)=\\frac{P(A \\cap B)}{P(A)}\\)<\/p>\n\n\n\n<p>\u3067\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u78ba\u7387\\(P(A)\\)\u306f\u30b5\u30a4\u30b3\u30ed\u30921\u56de\u632f\u3063\u30664\u306e\u76ee\u304c\u51fa\u308b\u78ba\u7387\u306a\u306e\u3067\u3001<\/p>\n\n\n\n<p>\\(\\displaystyle P(A)=\\frac{1}{6}\\)<\/p>\n\n\n\n<p>\u78ba\u7387\\(P(A \\cap B)\\)\u306f\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u3063\u30664\u306e\u76ee\u304c\u51fa\u305f\u3042\u3068\u306b\u30015\u304b6\u304c\u51fa\u308c\u3070\u3088\u3044\u306e\u3067<\/p>\n\n\n\n<p>\\(\\displaystyle P(A \\cap B)=\\frac{1}{6} \\times \\frac{1}{6} + \\frac{1}{6} \\times \\frac{1}{6}=\\frac{1}{18}\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6761\u4ef6\u78ba\u7387\\(P_{A}(B)\\)\u306f<\/p>\n\n\n\n<p>\\(\\displaystyle P_{A}(B)=\\frac{P(A \\cap B)}{P(A)}=\\frac{\\frac{1}{18}}{\\frac{1}{6}}=\\frac{1}{3}\\)<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7df4\u7fd2\u554f\u984c2<\/span><\/div><div class=\"cap_box_content\">\n<p>\u7537\u5973\u304c\u751f\u307e\u308c\u308b\u78ba\u7387\u306f\u7b49\u3057\u304f\\(\\frac{1}{2}\\)\u3068\u3057\u307e\u3059\u3002<br>A\u3055\u3093\u306b\u306f\u5b50\u3069\u3082\u304c2\u4eba\u3044\u307e\u3059\u3002\u305d\u306e\u3046\u3061\u306e1\u4eba\u306f\u7537\u306e\u5b50\u3067\u3042\u308b\u3053\u3068\u304c\u5206\u304b\u3063\u3066\u3044\u307e\u3059\u3002<br>\u3067\u306f\u3001\u5b50\u3069\u3082\u304c2\u4eba\u3068\u3082\u7537\u306e\u5b50\u3067\u3042\u308b\u78ba\u7387\u306f\u3044\u304f\u3064\u3067\u3059\u304b\uff1f<\/p>\n<\/div><\/div>\n\n\n\n<p>\u300c\u7537\u306e\u5b50\u3068\u7537\u306e\u5b50\u306a\u306e\u3067\u3001\\(\\frac{1}{2} \\times \\frac{1}{2}=\\frac{1}{4}\\)\u300d<\/p>\n\n\n\n<p>\u3082\u3057\u304f\u306f<\/p>\n\n\n\n<p>\u300c\u7537\u306e\u5b50\u304c\u751f\u307e\u308c\u308b\u78ba\u7387\u306f\u5909\u308f\u3089\u305a\\(\\frac{1}{2}\\)\u3060\u304b\u3089\u3001\u3082\u30461\u4eba\u306e\u5b50\u3069\u3082\u3082\u7537\u306e\u5b50\u3067\u3042\u308b\u78ba\u7387\u306f\\(\\frac{1}{2}\\)\u300d<\/p>\n\n\n\n<p>\u305d\u3046\u8003\u3048\u3066\u3057\u307e\u3046\u306e\u3082\u5206\u304b\u308a\u307e\u3059\u304c\u3001\u5b9f\u969b\u306f\u305d\u3046\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p>2\u4eba\u306e\u5b50\u3069\u3082\u306e\u6027\u5225\u306f\u4ee5\u4e0b\u306e4\u901a\u308a\u304c\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"430\" height=\"370\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u6761\u4ef6\u4ed8\u304d\u78ba\u7387.png\" alt=\"\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\" class=\"wp-image-5300\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u6761\u4ef6\u4ed8\u304d\u78ba\u7387.png 430w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u6761\u4ef6\u4ed8\u304d\u78ba\u7387-300x258.png 300w\" sizes=\"(max-width: 430px) 100vw, 430px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3053\u306e\u56f3\u3092\u898b\u305f\u9650\u308a\u3067\u306f\u30012\u4eba\u3068\u3082\u7537\u306e\u5b50\u3067\u3042\u308b\u78ba\u7387\u306f\\(\\frac{1}{4}\\)\u306b\u601d\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3057\u304b\u3057\u3001\u4eca\u56de\u306e\u554f\u984c\u306b\u306f<span class=\"huto\">\u300c1\u4eba\u304c\u7537\u306e\u5b50\u3067\u3042\u308b\u3053\u3068\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u300d<\/span>\u3068\u3044\u3046\u6761\u4ef6\u304c\u4ed8\u3044\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5b9f\u969b\u306b\u8003\u3048\u3089\u308c\u308b2\u4eba\u306e\u5b50\u3069\u3082\u306e\u6027\u5225\u306e\u306f\u4ee5\u4e0b\u306e3\u901a\u308a\u306a\u306e\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"389\" height=\"366\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u6761\u4ef6\u4ed8\u304d\u78ba\u73871.png\" alt=\"\u6761\u4ef6\u4ed8\u304d\u78ba\u73871\" class=\"wp-image-5301\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u6761\u4ef6\u4ed8\u304d\u78ba\u73871.png 389w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u6761\u4ef6\u4ed8\u304d\u78ba\u73871-300x282.png 300w\" sizes=\"(max-width: 389px) 100vw, 389px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3086\u3048\u306b\u3001\u4eca\u56de\u6c42\u3081\u308b\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306f\\(\\frac{1}{3}\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u3092\u8a08\u7b97\u3067\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"graybox\">\\(P(A)\\)\uff1a\u5b50\u3069\u30822\u4eba\u306e\u3046\u30611\u4eba\u306f\u7537\u306e\u5b50\u3067\u3042\u308b\u78ba\u7387<br>\\(P(B)\\)\uff1a\u5b50\u3069\u3082\u306f2\u4eba\u3068\u3082\u7537\u306e\u5b50\u3067\u3042\u308b\u78ba\u7387<\/div>\n\n\n\n<p>\\(P(A)\\)\u306f\u300c2\u4eba\u3068\u3082\u5973\u306e\u5b50\u3067\u3042\u308b\u300d\u306e\u4f59\u4e8b\u8c61\u306a\u306e\u3067\u3001<\/p>\n\n\n\n<p>\\(\\displaystyle P(A)=1-\\frac{1}{4}=\\frac{3}{4}\\)<\/p>\n\n\n\n<p>\u5b50\u3069\u3082\u304c1\u4eba\u304c\u7537\u306e\u5b50\u304b\u30642\u4eba\u3068\u3082\u7537\u306e\u5b50\u3067\u3042\u308b\u78ba\u7387\u306f<\/p>\n\n\n\n<p>\\(\\displaystyle P(A \\cap B)=\\frac{1}{4}\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6c42\u3081\u308b\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\\(P_{A}(B)\\)\u306f<\/p>\n\n\n\n<p>\\(\\displaystyle P_{A}(B)=\\frac{P(A \\cap B)}{P(A)}=\\frac{\\frac{1}{4}}{\\frac{3}{4}}=\\frac{1}{3}\\)<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"matome\">\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u3000\u307e\u3068\u3081<\/h2>\n\n\n\n<p><span class=\"huto\">\u4eca\u56de\u306f\u5834\u5408\u306e\u6570\u3068\u78ba\u7387\u304b\u3089\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306b\u3064\u3044\u3066\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list is-style-bg_stripe\">\n<li>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\\(P_{A}(B)\\)\u306f\u3001\u4e8b\u8c61A\u304c\u8d77\u304d\u308b\u6761\u4ef6\u3067\u4e8b\u8c61B\u304c\u8d77\u304d\u308b\u78ba\u7387<\/li>\n\n\n\n<li>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\\(P_{A}(B)\\)\u306e\u516c\u5f0f<\/li>\n\n\n\n<li>\\(\\displaystyle P_{A}(B)=\\frac{P(A \\cap B)}{P(A)}\\)<\/li>\n\n\n\n<li>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u898b\u5206\u3051\u65b9\u306f\u3001\u6c42\u3081\u308b\u78ba\u7387\u306b\u524d\u63d0\u6761\u4ef6\u304c\u3042\u308b\u304b\u3069\u3046\u304b<\/li>\n<\/ul>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi7-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u304c\u5206\u304b\u3063\u305f\u6c17\u304c\u3059\u308b\u3088\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u305d\u308c\u306f\u826f\u304b\u3063\u305f\uff01\u6163\u308c\u308b\u305f\u3081\u306b\u554f\u984c\u306b\u6311\u6226\u3057\u3066\u307f\u3066\u306d\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<p>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306b\u3064\u3044\u3066\u307e\u3068\u3081\u307e\u3057\u305f\u304c\u3001\u307e\u305a\u306f\u516c\u5f0f\u3068\u3057\u3066\u899a\u3048\u308b\u3068\u3053\u308d\u304b\u3089\u59cb\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>\u516c\u5f0f\u3092\u899a\u3048\u305f\u3089\u5b66\u6821\u306e\u554f\u984c\u96c6\u304b\u3089\u59cb\u3081\u3066\u307f\u308b\u306e\u304c\u826f\u3044\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u6559\u79d1\u66f8\u3084\u554f\u984c\u96c6\u3067\u3082\u7406\u89e3\u3057\u304d\u308c\u306a\u3044\u3068\u304d\u306f\u300c\u30b9\u30bf\u30c7\u30a3\u30b5\u30d7\u30ea\u300d\u3084\u300c\u6cb3\u5408\u587eOne\u300d\u306e\u6620\u50cf\u6388\u696d\u304c\u304a\u3059\u3059\u3081\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3069\u3061\u3089\u3082\u7121\u6599\u3067\u59cb\u3081\u3089\u308c\u308b\u306e\u3067\u3001\u82e6\u624b\u306a\u5358\u5143\u306e\u5fa9\u7fd2\u306b\u6d3b\u7528\u3057\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u300c\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u6c42\u3081\u65b9\u304c\u5206\u304b\u3089\u306a\u3044\u300d\u300c\u305f\u3060\u306e\u78ba\u7387\u3068\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u898b\u5206\u3051\u65b9\u304c\u5206\u304b\u3089\u306a\u3044\u300d 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