{"id":4949,"date":"2022-03-07T21:30:29","date_gmt":"2022-03-07T12:30:29","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=4949"},"modified":"2022-06-04T23:34:19","modified_gmt":"2022-06-04T14:34:19","slug":"probability-2","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/probability-2.html","title":{"rendered":"\u78ba\u7387\u306e\u8a08\u7b97\u3068\u6027\u8cea\uff1a\u52a0\u6cd5\u5b9a\u7406\u3084\u548c\u4e8b\u8c61\u3001\u4f59\u4e8b\u8c61\u306e\u5229\u7528"},"content":{"rendered":"\n<p>\u9806\u5217\u3068\u7d44\u307f\u5408\u308f\u305b\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u4f55\u901a\u308a\u306e\u65b9\u6cd5\u304c\u3042\u308b\u306e\u304b\u8a08\u7b97\u3067\u304d\u308b\u5834\u5408\u3001\u78ba\u7387\u306e\u8a08\u7b97\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u5168\u4e8b\u8c61\u306b\u5bfe\u3057\u3066\u3001\u7279\u5b9a\u306e\u4e8b\u8c61\u304c\u8d77\u3053\u308b\u30d1\u30bf\u30fc\u30f3\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u78ba\u7387\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u306a\u304a\u78ba\u7387\u306e\u8a08\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u78ba\u7387\u306b\u306f\u3044\u304f\u3064\u304b\u6027\u8cea\u304c\u3042\u308a\u307e\u3059\u3002\u78ba\u7387\u306e\u6027\u8cea\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u8db3\u3057\u7b97\u306b\u3088\u3063\u3066\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u305f\u308a\u3001\u91cd\u8907\u3092\u9664\u304f\u3053\u3068\u306b\u3088\u3063\u3066\u78ba\u7387\u306e\u8a08\u7b97\u304c\u3067\u304d\u305f\u308a\u3057\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u8d77\u3053\u3089\u306a\u3044\u78ba\u7387\u3092\u8a08\u7b97\u3057\u305f\u3044\u5834\u5408\u3001\u8d77\u3053\u308b\u78ba\u7387\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u8d77\u3053\u3089\u306a\u3044\u4e8b\u8c61\u3092\u4f59\u4e8b\u8c61\u3068\u547c\u3073\u3001\u78ba\u7387\u306e\u6027\u8cea\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3067\u304d\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u78ba\u7387\u306e\u8a08\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u4e8b\u524d\u306b\u6027\u8cea\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u305d\u3053\u3067\u3001\u78ba\u7387\u306e\u8a08\u7b97\u65b9\u6cd5\u3084\u6027\u8cea\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u78ba\u7387\u306e\u8a08\u7b97\u65b9\u6cd5\uff1a\u5168\u4f53\u3068\u4e8b\u8c61\u3092\u8a08\u7b97\u3059\u308b<\/h2>\n<p>\u9806\u5217\u3068\u7d44\u307f\u5408\u308f\u305b\u3092\u5229\u7528\u3057\u3001\u4f55\u901a\u308a\u306e\u65b9\u6cd5\u304c\u3042\u308b\u306e\u304b\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u3063\u305f\u3089\u3001\u6b21\u306b\u78ba\u7387\u306e\u8a08\u7b97\u3092\u3057\u307e\u3057\u3087\u3046\u3002\u78ba\u7387\u306e\u8a08\u7b97\u3067\u306f\u3001\u307e\u305a\u5168\u4f53\u306e\u4e8b\u8c61\u304c\u4f55\u901a\u308a\u3042\u308b\u306e\u304b\u6570\u3048\u307e\u3059\u3002\u307e\u305f\u3001\u7279\u5b9a\u306e\u4e8b\u8c61A\u304c\u8d77\u3053\u308b\u56de\u6570\u3092\u6570\u3048\u307e\u3059\u3002\u305d\u306e\u5f8c\u3001<span style=\"color: #0000ff;\">\u4e8b\u8c61A\u306b\u5bfe\u3057\u3066\u5168\u4f53\u306e\u4e8b\u8c61\u3067\u5272\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/tuf20.jpg\" alt=\"\" width=\"500\" height=\"109\" class=\"aligncenter size-full wp-image-4951\" \/><\/p>\n<p>\u4f8b\u3048\u3070\u3001\u30b5\u30a4\u30b3\u30ed\u30922\u3064\u6295\u3052\u3066\u51fa\u308b\u76ee\u306e\u548c\u304c3\u306b\u306a\u308b\u78ba\u7387\u306f\u3044\u304f\u3089\u3067\u3057\u3087\u3046\u304b\u3002\u30b5\u30a4\u30b3\u30ed\u30922\u3064\u6295\u3052\u308b\u3068\u304d\u3001\u5168\u4f53\u306e\u4e8b\u8c61\u306f\\(6\u00d76=36\\)\u901a\u308a\u306e\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002\u4e00\u65b9\u3001\u76ee\u306e\u548c\u304c3\u306b\u306a\u308b\u306e\u306f2\u901a\u308a\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>(1, 2) (2, 1)<\/li>\n<\/ul>\n<p>\u305d\u306e\u305f\u3081\u3001\u4e8b\u8c61\u306e\u5834\u5408\u306e\u6570\u306f2\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5206\u5b50\u30922\u3001\u5206\u6bcd\u309236\u306b\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{2}{36}=\\displaystyle\\frac{1}{18}\\)<\/li>\n<\/ul>\n<p>\u3053\u3046\u3057\u3066\u3001\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3>\u500b\u6570\u306b\u7740\u76ee\u3057\u3001\u78ba\u7387\u306e\u8a08\u7b97\u3092\u884c\u3046<\/h3>\n<p>\u306a\u304a\u78ba\u7387\u306e\u8a08\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u500b\u6570\u306b\u7740\u76ee\u3059\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002\u8981\u7d20\u304c\u4f55\u500b\u3042\u308b\u306e\u304b\u6570\u3048\u308b\u306e\u3067\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>\u767d\u7389\u304c3\u3064\u3001\u8d64\u7389\u304c2\u3064\u3042\u308a\u307e\u3059\u3002\u7121\u9020\u4f5c\u306b\u540c\u6642\u306b2\u3064\u53d6\u308a\u51fa\u3059\u3068\u304d\u3001\u767d\u73891\u3064\u3001\u8d64\u73891\u3064\u306e\u78ba\u7387\u306f\u3044\u304f\u3089\u3067\u3059\u304b\uff1f<\/li>\n<\/ul>\n<p>\u8272\u3060\u3051\u306b\u7740\u76ee\u3059\u308b\u5834\u5408\u3001\uff08\u767d\u3001\u767d\uff09\uff08\u767d\u3001\u8d64\uff09\uff08\u8d64\u3001\u8d64\uff09\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u4eba\u306b\u3088\u3063\u3066\u306f\u3001\\(\\displaystyle\\frac{1}{3}\\)\u304c\u7b54\u3048\u3067\u3042\u308b\u3068\u8003\u3048\u307e\u3059\u3002\u305f\u3060\u3001\u3053\u308c\u306f\u9593\u9055\u3044\u3067\u3059\u3002\u305d\u3053\u3067<span style=\"color: #0000ff;\">\u767d\u3084\u8d64\u306a\u3069\u306e\u8272\u3060\u3051\u3067\u306a\u304f\u3001\u500b\u6570\u3082\u7740\u76ee\u3057\u3066\u78ba\u7387\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<p>\u307e\u305a\u3001\u5168\u4f53\u306e\u5834\u5408\u306e\u6570\u306f<sub>5<\/sub>C<sub>2<\/sub>\u3067\u3059\u3002\u307e\u305f\u3001\u767d\u73891\u3064\u3068\u8d64\u73891\u3064\u3092\u53d6\u308a\u51fa\u3059\u5834\u5408\u306e\u6570\u306f<sub>3<\/sub>C<sub>1<\/sub>\u3068<sub>2<\/sub>C<sub>1<\/sub>\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{_3C_1\u00d7_2C_1}{_5C_2}=\\displaystyle\\frac{3}{5}\\)<\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u7389\u306e\u500b\u6570\u3092\u8003\u616e\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u78ba\u7387\u306e\u8a08\u7b97\u3092\u884c\u3048\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u78ba\u7387\u304b\u3089\u542b\u307e\u308c\u308b\u8981\u7d20\u306e\u6570\u3092\u8a08\u7b97\u3059\u308b<\/h3>\n<p>\u306a\u304a\u78ba\u7387\u306e\u554f\u984c\u3067\u306f\u3001\u3059\u3067\u306b\u308f\u304b\u3063\u3066\u3044\u308b\u78ba\u7387\u304b\u3089\u3001\u3044\u304f\u3064\u306e\u8981\u7d20\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u306e\u304b\u8a08\u7b97\u3059\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u78ba\u7387\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u7b54\u3048\u3092\u51fa\u3057\u307e\u3057\u3087\u3046\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>16\u672c\u306e\u30af\u30b8\u304c\u3042\u308a\u3001\u3053\u306e\u4e2d\u304b\u3089\u540c\u6642\u306b2\u672c\u3092\u5f15\u304f\u3068\u30011\u672c\u304c\u5f53\u305f\u308a\u30671\u672c\u304c\u306f\u305a\u308c\u306b\u306a\u308b\u78ba\u7387\u304c\\(\\displaystyle\\frac{7}{30}\\)\u3067\u3059\u3002\u5f53\u305f\u308a\u306e\u30af\u30b8\u306f\u4f55\u672c\u5165\u3063\u3066\u3044\u307e\u3059\u304b\uff1f<\/li>\n<\/ul>\n<p>\u3053\u306e\u554f\u984c\u306e\u7b54\u3048\u3092\u51fa\u3059\u305f\u3081\u306b\u306f\u3001\u5f53\u305f\u308a\u306e\u30af\u30b8\u304cn\u672c\u5165\u3063\u3066\u3044\u308b\u3068\u8003\u3048\u3066\u3001\u5f0f\u3092\u4f5c\u3089\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u5168\u4e8b\u8c61\u306e\u6570\u306f<sub>16<\/sub>C<sub>2<\/sub>\u3067\u3059\u3002\u307e\u305fn\u672c\u306e\u5f53\u305f\u308a\u30af\u30b8\u304c\u3042\u308b\u305f\u3081\u3001\u4e00\u672c\u304c\u5f53\u305f\u308a\u3092\u5f15\u304f\u30b1\u30fc\u30b9\u306f<sub>n<\/sub>C<sub>1<\/sub>\u3067\u3059\u3002\u307e\u305f\u306f\u305a\u308c\u306e\u6570\u306f(16-n\uff09\u672c\u3067\u3042\u308a\u3001\u3053\u306e\u4e2d\u304b\u3089\u4e00\u672c\u3092\u9078\u3076\u30b1\u30fc\u30b9\u306f<sub>(n-1)<\/sub>C<sub>1<\/sub>\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{_nC_1\u00d7_{(16-n)}C_1}{_{16}C_2}=\\displaystyle\\frac{7}{30}\\)<\/li>\n<\/ul>\n<p>\\(_nC_1=n\\)\u3067\u3042\u308a\u3001\\(_{(16-n)}C_1=16-n\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{_nC_1\u00d7_{(16-n)}C_1}{_{16}C_2}=\\displaystyle\\frac{7}{30}\\)<\/p>\n<p>\\(\\displaystyle\\frac{n(16-n)}{120}=\\displaystyle\\frac{7}{30}\\)<\/p>\n<p>\\(\\displaystyle\\frac{16n-n^2}{4}=7\\)<\/p>\n<p>\\(16n-n^2=28\\)<\/p>\n<p>\\(n^2-16n+28=0\\)<\/p>\n<p>\\((n-2)(n-14)=0\\)<\/p>\n<p>\\(1\u2266n\u226615\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(n=2\\)\u307e\u305f\u306f\\(n=14\\)\u304c\u7b54\u3048\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u5f53\u305f\u308a\u306e\u30af\u30b8\u306e\u6570\u306f2\u672c\u307e\u305f\u306f14\u672c\u3067\u3059\u3002\u3053\u3046\u3057\u3066\u3001\u7d50\u679c\u3092\u5229\u7528\u3057\u3066\u672a\u77e5\u6570\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2>\u78ba\u7387\u3067\u306f\u5168\u4e8b\u8c61\u304c\u5fc5\u305a1\u306b\u306a\u308b<\/h2>\n<p>\u306a\u304a\u78ba\u7387\u3067\u306f\u3001\u5168\u4e8b\u8c61\u30921\u3068\u3057\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u78ba\u7387\u3067\u7b54\u3048\u304c\u30de\u30a4\u30ca\u30b9\u306b\u306a\u308b\u3053\u3068\u306f\u306a\u3044\u3067\u3059\u3057\u30011\u3092\u8d85\u3048\u308b\u3053\u3068\u3082\u306a\u3044\u3067\u3059\u3002\u3059\u3079\u3066\u306e\u4e8b\u8c61\u3092\u8db3\u3057\u3066\u7b54\u3048\u304c1\u3092\u8d85\u3048\u308b\u5834\u5408\u3001\u8a08\u7b97\u65b9\u6cd5\u3092\u9593\u9055\u3048\u3066\u3044\u307e\u3059\u3002<\/p>\n<p><span style=\"color: #ff0000;\">A\u304c\u8d77\u3053\u308b\u78ba\u7387\\(P(A)\\)\u306f\u5fc5\u305a\\(0\u2266P(A)\u22661\\)\u306b\u306a\u308a\u307e\u3059\u3002<\/span>\u307e\u305fA\u306b\u4f55\u3082\u542b\u307e\u308c\u3066\u3044\u306a\u3044\u5834\u5408\u3001\u7a7a\u4e8b\u8c61\u03a6\u304c\u8d77\u3053\u308b\u78ba\u7387\u306f\\(P(\u03a6)=0\\)\u3067\u3059\u3002\u307e\u305f\u5168\u4e8b\u8c61U\u304c\u8d77\u3053\u308b\u78ba\u7387\u306f\\(P(U)=1\\)\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/erreg1.jpg\" alt=\"\" width=\"548\" height=\"224\" class=\"aligncenter size-full wp-image-4952\" \/><\/p>\n<p>\u78ba\u7387\u306e\u6027\u8cea\u3092\u7406\u89e3\u3059\u308b\u3068\u304d\u3001\u6700\u521d\u306b\u899a\u3048\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u6027\u8cea\u304c\u300c\u5168\u4e8b\u8c61\u304c\u8d77\u3053\u308b\u78ba\u7387\u306f\u5fc5\u305a<span>1<\/span>\u306b\u306a\u308b\u300d\u3053\u3068\u3067\u3059\u3002<\/p>\n<h3>\u6392\u53cd\u4e8b\u8c61\u306e\u5834\u5408\u3001\u52a0\u6cd5\u5b9a\u7406\u306b\u3088\u3063\u3066\u8db3\u3057\u7b97\u3092\u3059\u308b<\/h3>\n<p>\u6b21\u306b\u52a0\u6cd5\u5b9a\u7406\u3092\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002\u4e8c\u3064\u306e\u4e8b\u8c61\u306b\u3064\u3044\u3066\u3001\u540c\u6642\u306b\u8d77\u3053\u308b\u3053\u3068\u304c\u306a\u3044\u5834\u5408\u3001A\u3068B\u306f\u4e92\u3044\u306b<span style=\"color: #ff0000;\">\u6392\u53cd\u4e8b\u8c61<\/span>\u3068\u3044\u3048\u307e\u3059\u3002\u307e\u305f\u6392\u53cd\u4e8b\u8c61\u306e\u5834\u5408\u3001\u72ec\u7acb\u3057\u3066\u3044\u308b\u4e8b\u8c61\u3067\u3042\u308b\u305f\u3081\u3001A\u307e\u305f\u306fB\u304c\u8d77\u3053\u308b\u78ba\u7387\u3092\u8db3\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u3064\u307e\u308a\u3001<span style=\"color: #0000ff;\">A\u307e\u305f\u306fB\u304c\u8d77\u3053\u308b\u78ba\u7387\\(P(A\u222aB)\\)\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8db3\u3057\u7b97\u306b\u3088\u3063\u3066\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li>\\(P(A\u222aB)=P(A)+P(B)\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/erreg2.jpg\" alt=\"\" width=\"358\" height=\"226\" class=\"aligncenter size-full wp-image-4953\" \/><\/p>\n<p>\u3053\u308c\u3092\u52a0\u6cd5\u5b9a\u7406\u3068\u3044\u3044\u307e\u3059\u3002\u305d\u308c\u3067\u306f\u3001\u52a0\u6cd5\u5b9a\u7406\u3092\u5229\u7528\u3057\u3066\u78ba\u7387\u3092\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>2\u3064\u306e\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u308a\u3001\u76ee\u306e\u548c\u304c4\u306e\u500d\u6570\u306b\u306a\u308b\u78ba\u7387\u306f\u3044\u304f\u3089\u3067\u3057\u3087\u3046\u304b\uff1f<\/li>\n<\/ul>\n<p>\u76ee\u306e\u548c\u304c4\u306e\u500d\u6570\u306b\u306a\u308b\u305f\u3081\u306b\u306f\u3001\u8db3\u3057\u30664\u307e\u305f\u306f8\u307e\u305f\u306f12\u306b\u306a\u308c\u3070\u3044\u3044\u3067\u3059\u3002\u4ee5\u4e0b\u306e\u30b1\u30fc\u30b9\u30674\u306e\u500d\u6570\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u8db3\u3057\u30664\uff1a(1,3) (2, 2) (3, 1)<\/li>\n<li>\u8db3\u3057\u30668\uff1a(2, 6) (3, 5) (4, 4) (5, 4) (6, 2)<\/li>\n<li>\u8db3\u3057\u306612\uff1a(6, 6)<\/li>\n<\/ul>\n<p>\u76ee\u306e\u548c\u304c4\u306b\u306a\u308a\u3001\u540c\u6642\u306b\u76ee\u306e\u548c\u304c8\u306b\u306a\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081<span style=\"color: #0000ff;\">\u305d\u308c\u305e\u308c\u306e\u4e8b\u8c61\u306f\u540c\u6642\u306b\u8d77\u3053\u308b\u3053\u3068\u304c\u306a\u304f\u3001\u72ec\u7acb\u3057\u3066\u3044\u307e\u3059\u3002<\/span>\u307e\u305f\u3001\u76ee\u306e\u548c\u304c<span>4<\/span>\u306e\u500d\u6570\u306b\u306a\u308b\u3059\u3079\u3066\u306e\u4e8b\u8c61\u3092\u6570\u3048\u308b\u3068\u3001\u4e0a\u8a18\u306e\u3088\u3046\u306b\u5408\u8a08\u306f9\u3067\u3059\u30022\u3064\u306e\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u308b\u3068\u304d\u3001\u5168\u90e8\u306736\u901a\u308a\u306e\u65b9\u6cd5\u304c\u3042\u308b\u305f\u3081\u30014\u306e\u500d\u6570\u306b\u306a\u308b\u78ba\u7387\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{9}{36}=\\displaystyle\\frac{1}{4}\\)<\/li>\n<\/ul>\n<p>2\u3064\u306e\u4e8b\u8c61\u304c\u4e92\u3044\u306b\u6392\u4ed6\u4e8b\u8c61\u306e\u5834\u5408\u3001\u52a0\u6cd5\u5b9a\u7406\u306b\u3088\u3063\u3066\u8db3\u3057\u7b97\u3092\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u548c\u4e8b\u8c61\u306e\u78ba\u7387\u3067\u306f\u3001\u8db3\u3057\u7b97\u306e\u5f8c\u306b\u91cd\u8907\u90e8\u5206\u3092\u5f15\u304f<\/h3>\n<p>\u4e00\u65b9\u3067\u6392\u4ed6\u4e8b\u8c61\u3067\u306f\u306a\u3044\u5834\u5408\u3001\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u3053\u306e\u5834\u5408\u3001\u548c\u4e8b\u8c61\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u4e8b\u8c61A\u3068\u4e8b\u8c61B\u3067\u91cd\u306a\u3063\u3066\u3044\u308b\u90e8\u5206\u304c\u3042\u308b\u5834\u5408\u3001\u4e8b\u8c61A\u306e\u78ba\u7387\\(P(A)\\)\u3068\u4e8b\u8c61B\u306e\u78ba\u7387\\(P(B)\\)\u3092\u8db3\u3057\u305f\u5f8c\u3001A\u3068B\u304c\u91cd\u306a\u3063\u3066\u3044\u308b\u90e8\u5206\\(P(A\u2229B)\\)\u3092\u5f15\u304f\u306e\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/erreg3.jpg\" alt=\"\" width=\"600\" height=\"112\" class=\"aligncenter size-full wp-image-4954\" \/><\/p>\n<p>\u548c\u4e8b\u8c61\u306e\u78ba\u7387\u3067\u306f\u3001\u8db3\u3057\u305f\u5f8c\u306b\u91cd\u306a\u3063\u3066\u3044\u308b\u90e8\u5206\u3092\u5f15\u3051\u3070\u3044\u3044\u305f\u3081\u3001\u8003\u3048\u65b9\u306f\u96e3\u3057\u304f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u3061\u306a\u307f\u306bA\u3068B\u306e2\u3064\u306e\u4e8b\u8c61\u306b\u3064\u3044\u3066\u3001A\u3068B\u304c\u540c\u6642\u306b\u8d77\u3053\u308b\u78ba\u7387\u3092<span style=\"color: #ff0000;\">\u7a4d\u4e8b\u8c61<\/span>\u3068\u3044\u3044\u307e\u3059\u3002\u548c\u4e8b\u8c61\u306e\u78ba\u7387\u3092\u51fa\u3059\u305f\u3081\u306b\u306f\u3001A\u306e\u78ba\u7387\u3068B\u306e\u78ba\u7387\u3092\u8db3\u3057\u305f\u5f8c\u3001A\u3068B\u306e\u7a4d\u4e8b\u8c61\\(P(A\u2229B)\\)\u3092\u5f15\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u306a\u305c\u7a4d\u4e8b\u8c61\u306a\u306e\u304b\u3068\u3044\u3046\u3068\u30012\u3064\u306e\u4e8b\u8c61\u304c\u540c\u6642\u306b\u8d77\u3053\u308b\u5834\u5408\u3001\u304b\u3051\u7b97\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u7b54\u3048\u3092\u51fa\u3059\u304b\u3089\u3067\u3059\u3002\u4f8b\u3048\u30702\u3064\u306e\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u308a\u30011\u306e\u76ee\u30682\u306e\u76ee\u304c\u51fa\u308b\u78ba\u7387\u306f\u3044\u304f\u3089\u3067\u3057\u3087\u3046\u304b\u30021\u306e\u76ee\u304c\u51fa\u308b\u78ba\u7387\u306f\\(\\displaystyle\\frac{1}{6}\\)\u3067\u3059\u3002\u307e\u305f2\u306e\u76ee\u304c\u51fa\u308b\u78ba\u7387\u306f\\(\\displaystyle\\frac{1}{6}\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u7a4d\u4e8b\u8c61\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{1}{6}\u00d7\\displaystyle\\frac{1}{6}=\\displaystyle\\frac{1}{36}\\)<\/li>\n<\/ul>\n<p>\u540c\u6642\u306b\u8d77\u3053\u308b\u78ba\u7387\\(P(A\u2229B)\\)\u3092\u8a08\u7b97\u3057\u305f\u3044\u3068\u304d\u3001\u304b\u3051\u7b97\u3092\u5229\u7528\u3057\u307e\u3059\u3002\u305d\u308c\u3067\u306f\u3001\u5b9f\u969b\u306b\u548c\u4e8b\u8c61\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>1\u304b\u3089100\u307e\u3067\u306e\u756a\u53f7\u304c\u66f8\u304b\u308c\u305f\u30ab\u30fc\u30c9\u304c100\u679a\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u4e2d\u304b\u3089\u7121\u9020\u4f5c\u306b1\u679a\u306e\u30ab\u30fc\u30c9\u3092\u9078\u3076\u3068\u304d\u3001\u30ab\u30fc\u30c9\u306e\u756a\u53f7\u304c4\u307e\u305f\u306f5\u306e\u500d\u6570\u306b\u306a\u308b\u78ba\u7387\u306f\u3044\u304f\u3089\u3067\u3057\u3087\u3046\u304b\uff1f<\/li>\n<\/ul>\n<p>\u5168\u4e8b\u8c61\u306f100\u3067\u3059\u3002\u3053\u306e\u3046\u3061\u30014\u306e\u500d\u6570\u306b\u306a\u308b\u30b1\u30fc\u30b9\u306f25\u901a\u308a\u3067\u3059\u3002\u307e\u305f5\u306e\u500d\u6570\u306b\u306a\u308b\u30b1\u30fc\u30b9\u306f20\u901a\u308a\u3067\u3059\u3002<\/p>\n<ul>\n<li>4\u306e\u500d\u6570\uff1a4\u00d71, 4\u00d72, 4\u00d73, &#8230;, 4\u00d725<\/li>\n<li>5\u306e\u500d\u6570\uff1a5\u00d71, 5\u00d72, 5\u00d73, &#8230;, 5\u00d720<\/li>\n<\/ul>\n<p>\u305f\u30604\u306e\u500d\u6570\u3067\u3042\u308a\u30015\u306e\u500d\u6570\u3067\u3082\u3042\u308b\u30b1\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059\u300220\u306e\u500d\u6570\u3067\u306f\u3001\u4e21\u65b9\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3057\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u305d\u3053\u3067\u7a4d\u4e8b\u8c61\uff0820\u306e\u500d\u6570\uff09\u3092\u8003\u616e\u3057\u307e\u3057\u3087\u3046\u300220\u306e\u500d\u6570\u306b\u306a\u308b\u30b1\u30fc\u30b9\u306f5\u901a\u308a\u3067\u3059\u3002<\/p>\n<ul>\n<li>20\u306e\u500d\u6570\uff1a20\u00d71, 20\u00d72, 20\u00d73, 20\u00d74, 5\u00d720<\/li>\n<\/ul>\n<p>\u307e\u305f\u524d\u8ff0\u306e\u901a\u308a\u3001\u5168\u4e8b\u8c61\u306f100\u306a\u306e\u3067\u4ee5\u4e0b\u306e\u8a08\u7b97\u306b\u3088\u3063\u3066\u78ba\u7387\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{25}{100}+\\displaystyle\\frac{20}{100}-\\displaystyle\\frac{5}{100}=\\displaystyle\\frac{40}{100}=\\displaystyle\\frac{2}{5}\\)<\/p>\n<p>\u548c\u4e8b\u8c61\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u305d\u308c\u305e\u308c\u306e\u78ba\u7387\u306b\u52a0\u3048\u305f\u5f8c\u3001\u7a4d\u4e8b\u8c61\u3092\u5f15\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u8d77\u3053\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3057\u3001\u4f59\u4e8b\u8c61\u306e\u78ba\u7387\u3092\u51fa\u3059<\/h3>\n<p>\u306a\u304a\u4e8b\u8c61A\u306b\u5bfe\u3057\u3066\u3001\u4e8b\u8c61A\u304c\u8d77\u3053\u3089\u306a\u3044\u30b1\u30fc\u30b9\u3092<span style=\"color: #ff0000;\">\u4f59\u4e8b\u8c61<\/span>\u3068\u3044\u3044\u307e\u3059\u3002\u4e8b\u8c61A\u304c\u8d77\u3053\u308b\u78ba\u7387\u3092\\(P(A)\\)\u3068\u3059\u308b\u3068\u3001\u4f59\u4e8b\u8c61\u304c\u8d77\u3053\u308b\u78ba\u7387\\(P(\\overline{A})\\)\u306f\u4ee5\u4e0b\u306e\u8a08\u7b97\u306b\u3088\u3063\u3066\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(P(\\overline{A})=1-P(A)\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/erreg4.jpg\" alt=\"\" width=\"600\" height=\"196\" class=\"aligncenter size-full wp-image-4955\" \/><\/p>\n<p>\u4f8b\u3048\u3070\u5de5\u5834\u3067\u7121\u9020\u4f5c\u306b5\u3064\u306e\u88fd\u54c1\u3092\u53d6\u308a\u3001\u5c11\u306a\u304f\u3068\u30821\u3064\u4e0d\u826f\u54c1\u304c\u691c\u51fa\u3055\u308c\u308b\u78ba\u7387\u3092\u6c42\u3081\u308b\u305f\u3081\u306b\u306f\u3001\u300c\u3059\u3079\u3066\u4e0d\u826f\u54c1\u3067\u306f\u306a\u3044\u78ba\u7387\u300d\u3092\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u3059\u3079\u3066\u4e0d\u826f\u54c1\u3067\u306a\u3044\u78ba\u7387\u304c\u308f\u304b\u308c\u3070\u3001\u5168\u4e8b\u8c61\u304b\u3089\u5f15\u304f\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u4f59\u4e8b\u8c61\uff08\u5c11\u306a\u304f\u3068\u30821\u500b\u306f\u4e0d\u826f\u54c1\u304c\u542b\u307e\u308c\u308b\u78ba\u7387\uff09\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u4f59\u4e8b\u8c61\u306e\u78ba\u7387\\(P(\\overline{A})\\)\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u4e8b\u8c61A\u306e\u78ba\u7387\\(P(A)\\)\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\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>\u767d\u73894\u3064\u3001\u8d64\u73893\u3064\u3001\u9752\u73892\u3064\u304c\u6df7\u3056\u3063\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u4e2d\u304b\u3089\u7121\u9020\u4f5c\u306b3\u3064\u306e\u7389\u3092\u53d6\u308a\u51fa\u3059\u5834\u5408\u3001\u5c11\u306a\u304f\u3068\u3082\u767d\u7389\u304c1\u3064\u542b\u307e\u308c\u308b\u78ba\u7387\u306f\u3044\u304f\u3089\u3067\u3057\u3087\u3046\u304b\uff1f<\/li>\n<\/ul>\n<p><span style=\"color: #0000ff;\">\u5c11\u306a\u304f\u3068\u30821\u3064\u767d\u7389\u304c\u542b\u307e\u308c\u308b\u3068\u3044\u3046\u3053\u3068\u306f\u3001\u767d\u7389\u304c\u307e\u3063\u305f\u304f\u542b\u307e\u308c\u3066\u3044\u306a\u3044\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u3067\u3059\u3002<\/span>\u305d\u306e\u5f8c\u3001\u5168\u4e8b\u8c61\u304b\u3089\u767d\u7389\u304c\u5168\u304f\u542b\u307e\u308c\u306a\u3044\u78ba\u7387\u3092\u5f15\u304f\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u5c11\u306a\u304f\u3068\u30821\u3064\u306f\u767d\u7389\u304c\u542b\u307e\u308c\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u300c\u767d\u7389\u304c1\u3064\u542b\u307e\u308c\u308b\u78ba\u7387\u300d\u300c\u767d\u7389\u304c2\u3064\u542b\u307e\u308c\u308b\u78ba\u7387\u300d\u300c\u767d\u7389\u304c3\u3064\u542b\u307e\u308c\u308b\u78ba\u7387\u300d\u3092\u305d\u308c\u305e\u308c\u8a08\u7b97\u3057\u305f\u5f8c\u3001\u8db3\u3057\u7b97\uff08\u52a0\u6cd5\u5b9a\u7406\uff09\u306b\u3088\u3063\u3066\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u305f\u3060\u30b7\u30f3\u30d7\u30eb\u306a\u8a08\u7b97\u3092\u3059\u308b\u305f\u3081\u306b\u306f\u4f59\u4e8b\u8c61\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u7389\u306f\u5408\u8a08\u30679\u3064\u306a\u306e\u3067\u3001\u5168\u4e8b\u8c61\u306f<sub>9<\/sub>C<sub>3<\/sub>\u3067\u3059\u3002\u307e\u305f\u8d64\u7389\u3068\u9752\u7389\u306f\u5408\u8a08\u30675\u3064\u3067\u3042\u308a\u3001\u3053\u306e\u4e2d\u304b\u30893\u3064\u306e\u7389\u3092\u53d6\u308a\u51fa\u305b\u3070\u3001\u767d\u7389\u304c\u542b\u307e\u308c\u306a\u3044\u78ba\u7387\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u767d\u7389\u304c\u542b\u307e\u308c\u306a\u3044\u30b1\u30fc\u30b9\u306f<sub>5<\/sub>C<sub>3<\/sub>\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u8a08\u7b97\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(1-\\displaystyle\\frac{_5C_3}{_9C_3}=\\displaystyle\\frac{37}{42}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u4f59\u4e8b\u8c61\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3092\u30b7\u30f3\u30d7\u30eb\u306b\u3067\u304d\u307e\u3059\u3002\u8a08\u7b97\u30df\u30b9\u3092\u5c11\u306a\u304f\u3059\u308b\u305f\u3081\u3001\u4f59\u4e8b\u8c61\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u78ba\u7387\u306e\u8a08\u7b97\u3092\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<h2>\u78ba\u7387\u306e\u57fa\u672c\u3068\u6027\u8cea\u3092\u5b66\u3093\u3067\u8a08\u7b97\u3059\u308b<\/h2>\n<p>\u78ba\u7387\u306e\u8a08\u7b97\u3067\u306f\u3001\u5fc5\u305a\u5168\u4e8b\u8c61\u3092\u8a08\u7b97\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u3059\u3079\u3066\u306e\u30b1\u30fc\u30b9\u3092\u8a08\u7b97\u3057\u305f\u5f8c\u3001\u8a72\u5f53\u3059\u308b\u4e8b\u8c61\u304c\u4f55\u901a\u308a\u8d77\u3053\u308b\u306e\u304b\u8a08\u7b97\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u305f\u3060\u78ba\u7387\u306e\u8a08\u7b97\u3067\u306f\u3001\u8907\u6570\u306e\u4e8b\u8c61\u304c\u8d77\u3053\u308b\u3068\u304d\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u6392\u53cd\u4e8b\u8c61\u306b\u3064\u3044\u3066\u306f\u3001\u8db3\u3057\u7b97\u306b\u3088\u3063\u3066\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u52a0\u6cd5\u5b9a\u7406\u306b\u3088\u308a\u3001\u8db3\u3059\u3053\u3068\u306b\u3088\u3063\u3066A\u307e\u305f\u306fB\u304c\u8d77\u3053\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3001A\u3068B\u306b\u91cd\u306a\u308b\u90e8\u5206\u304c\u3042\u308b\u5834\u5408\u3001\u548c\u4e8b\u8c61\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002A\u306e\u78ba\u7387\u3068B\u306e\u78ba\u7387\u3092\u8db3\u3057\u305f\u5f8c\u3001A\u3068B\u304c\u91cd\u306a\u308b\u90e8\u5206\uff08\u7a4d\u4e8b\u8c61\uff09\u3092\u5f15\u304d\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u3063\u3066\u548c\u4e8b\u8c61\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u4e8b\u8c61\u304c\u8d77\u3053\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u4f59\u4e8b\u8c61\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u4f59\u4e8b\u8c61\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u307b\u3046\u304c\u3001\u8a08\u7b97\u5f0f\u3092\u30b7\u30f3\u30d7\u30eb\u306b\u3067\u304d\u308b\u3053\u3068\u306f\u3088\u304f\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u78ba\u7387\u306e\u6027\u8cea\u3068\u8a08\u7b97\u65b9\u6cd5\u3092\u7406\u89e3\u3057\u3001\u78ba\u7387\u3092\u6c42\u3081\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u9806\u5217\u3068\u7d44\u307f\u5408\u308f\u305b\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u4f55\u901a\u308a\u306e\u65b9\u6cd5\u304c\u3042\u308b\u306e\u304b\u8a08\u7b97\u3067\u304d\u308b\u5834\u5408\u3001\u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