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class=\"wp-block-heading\">\u30aa\u30f3\u30e9\u30a4\u30f3\u30ab\u30b8\u30ce\u306e\u653b\u7565\u6cd5\uff08\u30de\u30fc\u30c1\u30f3\u30b2\u30fc\u30eb\u6cd5\u3001\u30b3\u30b3\u30e2\u6cd5\u3001\u9006\u30de\u30fc\u30c1\u30f3\u30b2\u30fc\u30eb\u6cd5\u306a\u3069\uff09\uff1a\u7406\u8ad6\u3068\u30ea\u30b9\u30af\u3092\u5fb9\u5e95\u89e3\u8aac<\/h3>\n\n\n\n<p>\u30aa\u30f3\u30e9\u30a4\u30f3\u30ab\u30b8\u30ce\u306e\u653b\u7565\u6cd5\u306f\u3001\u30d9\u30c3\u30c6\u30a3\u30f3\u30b0\u30b7\u30b9\u30c6\u30e0\u3068\u3057\u3066\u6570\u5b66\u7684\u306b\u8a2d\u8a08\u3055\u308c\u305f\u6226\u7565\u3067\u3001\u4e3b\u306b\u30eb\u30fc\u30ec\u30c3\u30c8\u3084\u30d0\u30ab\u30e9\u306a\u3069\u306e\u30b2\u30fc\u30e0\u3067\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u65e5\u672c\u56fd\u5185\u3067\u306f\u30aa\u30f3\u30e9\u30a4\u30f3\u30ab\u30b8\u30ce\u306e\u5229\u7528\u81ea\u4f53\u304c\u5211\u6cd5\u3067\u9055\u6cd5\u3068\u3055\u308c\u30012026\u5e74\u73fe\u5728\u3001\u8b66\u5bdf\u5e81\u306e\u691c\u6319\u6570\u306f450\u4eba\u8d85\uff08\u63a8\u8a08\uff09\u3068\u904e\u53bb\u6700\u591a\u3092\u66f4\u65b0\u4e2d\u3067\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u4ee3\u8868\u7684\u306a\u653b\u7565\u6cd5\u3092\u7406\u8ad6\u7684\u306b\u89e3\u8aac\u3057\u3064\u3064\u3001\u9650\u754c\u3068\u6cd5\u7684\u30ea\u30b9\u30af\u3092\u5f37\u8abf\u3057\u307e\u3059\u3002\u5229\u7528\u3092\u63a8\u5968\u3059\u308b\u3082\u306e\u3067\u306f\u306a\u304f\u3001\u30b2\u30fc\u30e0\u7406\u8ad6\u3084\u78ba\u7387\u8ad6\u306e\u5b66\u7fd2\u3068\u3057\u3066\u4e2d\u7acb\u7684\u306b\u307e\u3068\u3081\u307e\u3059\u3002\u5b9f\u969b\u306e\u30ae\u30e3\u30f3\u30d6\u30eb\u306f\u907f\u3051\u3001\u7121\u6599\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3067\u7406\u89e3\u3092\u6df1\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u3053\u306e\u8a18\u4e8b\u3067\u308f\u304b\u308b\u3053\u3068<\/h4>\n\n\n\n<ul 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class=\"wp-block-heading\">\u30de\u30fc\u30c1\u30f3\u30b2\u30fc\u30eb\u6cd5\u306e\u8a73\u7d30\u3068\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3<\/h3>\n\n\n\n<p>\u30de\u30fc\u30c1\u30f3\u30b2\u30fc\u30eb\u6cd5\u306f\u3001\u8ca0\u3051\u6642\u306b\u8ced\u3051\u91d1\u3092\u500d\u306b\u5897\u3084\u3057\u3001\u52dd\u3061\u3067\u5168\u640d\u5931\u3092\u56de\u53ce\u3059\u308b\u53e4\u5178\u7684\u306a\u653b\u7565\u6cd5\u3067\u3059\u300218\u4e16\u7d00\u30d5\u30e9\u30f3\u30b9\u306e\u30ae\u30e3\u30f3\u30d6\u30e9\u30fc\u306b\u7531\u6765\u3057\u3001\u78ba\u738750%\u8fd1\u3044\u30b2\u30fc\u30e0\uff08\u30eb\u30fc\u30ec\u30c3\u30c8\u8d64\u9ed2\u8ced\u3051\uff09\u3067\u6709\u52b9\u3067\u3059\u304c\u3001\u30cf\u30a6\u30b9\u30a8\u30c3\u30b8\u306b\u3088\u308a\u9577\u671f\u7684\u306b\u4e0d\u5229\u30022026\u5e74\u73fe\u5728\u3001\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u30bd\u30d5\u30c8\u3067\u30c6\u30b9\u30c8\u3055\u308c\u3001\u8cc7\u91d1\u7ba1\u7406\u306e\u91cd\u8981\u6027\u304c\u518d\u78ba\u8a8d\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u624b\u9806\u3068\u30e1\u30ea\u30c3\u30c8\u30fb\u30c7\u30e1\u30ea\u30c3\u30c8<\/h4>\n\n\n\n<p>\u624b\u9806: 1. \u57fa\u672c\u5358\u4f4d\uff08\u4f8b: 1\u30c9\u30eb\uff09\u304b\u3089\u30b9\u30bf\u30fc\u30c8\u30022. \u8ca0\u3051\u305f\u3089\u500d\u8ced\u3051\uff082\u30c9\u30eb\u21924\u30c9\u30eb\u21928\u30c9\u30eb\uff09\u30023. \u52dd\u3063\u305f\u3089\u56de\u53ce\u3057\u3001\u57fa\u672c\u5358\u4f4d\u306b\u623b\u308b\u3002\u30e1\u30ea\u30c3\u30c8: \u77ed\u671f\u9023\u6557\u5f8c\u306e\u56de\u53ce\u304c\u901f\u304f\u3001\u5fc3\u7406\u7684\u306b\u5b89\u5fc3\u3002\u30c7\u30e1\u30ea\u30c3\u30c8: \u9023\u6557\u3067\u8cc7\u91d1\u6025\u5897\uff0810\u9023\u6557\u30671023\u30c9\u30eb\u5fc5\u8981\uff09\u3001\u30c6\u30fc\u30d6\u30eb\u30ea\u30df\u30c3\u30c8\u3067\u7834\u7dbb\u3002\u8cc7\u91d1\u6709\u9650\u306e\u73fe\u5b9f\u3067\u30ea\u30b9\u30af\u9ad8\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u5b9f\u8df5\u4f8b\u3068\u671f\u5f85\u5024\u8a08\u7b97<\/h4>\n\n\n\n<p>\u5b9f\u8df5\u4f8b: \u30eb\u30fc\u30ec\u30c3\u30c8\u8d64\u9ed2\uff08\u52dd\u738747.4%\uff09\u3002\u30b9\u30bf\u30fc\u30c81\u30c9\u30eb\u3001\u8ca0\u30512\u30c9\u30eb\u3001\u8ca0\u30514\u30c9\u30eb\u3001\u52dd\u3061\u3067+1\u30c9\u30eb\u56de\u53ce\u3002\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3: 100\u56de\u30d7\u30ec\u30a4\u3067\u5e73\u5747\u640d\u59312.7%\uff08\u30cf\u30a6\u30b9\u30a8\u30c3\u30b8\u5206\uff09\u3002\u671f\u5f85\u5024\u8a08\u7b97: E = p<em>(\u5229\u76ca) + (1-p)<\/em>(-2\u500d\u8ced\u3051)\u3001p=0.474\u3067E&lt;0\u3002\u4eee\u60f3Python\u30b3\u30fc\u30c9\u4f8b: import random; bankroll=100; bet=1; while bankroll&gt;0: outcome=random.choice([1,-1]); if outcome==1: bankroll+=bet; bet=1; else: bankroll-=bet; bet*=2; \uff08\u7d50\u679c: \u8cc7\u91d1\u5909\u52d5\u30b0\u30e9\u30d5\u3067\u6025\u843d\u793a\u5506\uff09\u3002<\/p>\n\n\n\n<p>\u5b9f\u8df5\u30a2\u30af\u30b7\u30e7\u30f3: \u30de\u30fc\u30c1\u30f3\u30b2\u30fc\u30eb\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u3001Excel\u3067\u8cc7\u91d1\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u30b7\u30fc\u30c8\u3092\u4f5c\u6210\uff08\u5217: \u56de\u6570\u3001\u30d9\u30c3\u30c8\u3001\u7d50\u679c\u3001\u6b8b\u9ad8\uff09\u3002\u7121\u6599\u30a2\u30d7\u30ea\u3067100\u56de\u30c6\u30b9\u30c8\u3057\u3001\u671f\u5f85\u5024\u8a08\u7b97\u3092\u8a66\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u4f9d\u5b58\u30ea\u30b9\u30af\u3092\u907f\u3051\u3001\u6570\u5b66\u672c\uff08\u78ba\u7387\u8ad6\u5165\u9580\uff09\u3067\u6839\u62e0\u3092\u52c9\u5f37\u3057\u3066\u304f\u3060\u3055\u3044\u3002\uff08\u7d04780\u6587\u5b57\uff09<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u30b3\u30b3\u30e2\u6cd5\u306e\u8a73\u7d30\u3068\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3<\/h3>\n\n\n\n<p>\u30b3\u30b3\u30e2\u6cd5\u306f\u3001\u30d5\u30a3\u30dc\u30ca\u30c3\u30c1\u6570\u5217\uff081,1,2,3,5,8\u2026\uff09\u3092\u57fa\u306b\u9023\u6557\u6642\u306e\u8ced\u3051\u91d1\u3092\u5897\u3084\u3059\u56de\u5fa9\u578b\u653b\u7565\u6cd5\u3067\u3059\u3002\u30de\u30fc\u30c1\u30f3\u3088\u308a\u7de9\u3084\u304b\u3067\u3001\u9023\u6557\u8010\u6027\u304c\u9ad8\u3044\u3067\u3059\u304c\u3001\u30cf\u30a6\u30b9\u30a8\u30c3\u30b8\u306e\u5f71\u97ff\u3067\u9577\u671f\u640d\u5931\u907f\u3051\u3089\u308c\u307e\u305b\u3093\u30022026\u5e74\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u7814\u7a76\u3067\u3001\u4e2d\u9593\u30ea\u30b9\u30af\u6cd5\u3068\u3057\u3066\u8a55\u4fa1\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u624b\u9806\u3068\u30e1\u30ea\u30c3\u30c8\u30fb\u30c7\u30e1\u30ea\u30c3\u30c8<\/h4>\n\n\n\n<p>\u624b\u9806: 1. \u57fa\u672c\u5358\u4f4d1\u304b\u3089\u30b9\u30bf\u30fc\u30c8\u30022. \u8ca0\u3051\u305f\u3089\u524d2\u56de\u306e\u5408\u8a08\u3092\u6b21\u30d9\u30c3\u30c8\uff081\u8ca0\u3051\u21921\u3001\u8ca0\u3051\u21922\u3001\u8ca0\u3051\u21923\uff09\u30023. \u52dd\u3063\u305f\u30892\u30b9\u30c6\u30c3\u30d7\u623b\u308b\u3002\u30e1\u30ea\u30c3\u30c8: \u8ced\u3051\u5897\u52a0\u304c\u7de9\u3084\u304b\u3067\u8cc7\u91d1\u6301\u3061\u826f\u3057\u3002\u30c7\u30e1\u30ea\u30c3\u30c8: \u9577\u9023\u6557\u3067\u6025\u5897\uff0810\u9023\u6557\u306755\u5358\u4f4d\uff09\u3001\u56de\u53ce\u9045\u308c\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u5b9f\u8df5\u4f8b\u3068\u671f\u5f85\u5024\u8a08\u7b97<\/h4>\n\n\n\n<p>\u5b9f\u8df5\u4f8b: \u30d0\u30ab\u30e9\u30d7\u30ec\u30a4\u30e4\u30fc\u30d9\u30c3\u30c8\uff08\u52dd\u738745%\uff09\u30021\u8ca0\u3051\u21921\u8ca0\u3051\u21922\u8ca0\u3051\u21923\u52dd\u3061\u3067+1\u56de\u53ce\u3002\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3: 200\u56de\u3067\u5e73\u5747\u640d\u5931\u7387\u7d044%\u3001\u9023\u6557\u30d4\u30fc\u30af\u3067\u8cc7\u91d1\u5727\u8feb\u3002\u671f\u5f85\u5024\u8a08\u7b97: \u30d5\u30a3\u30dc\u30ca\u30c3\u30c1\u306e\u7d2f\u7a4d\u640d\u5931\u3092p\u3067\u5272\u308a\u8fd4\u53ce\u3001E = -\u30cf\u30a6\u30b9\u30a8\u30c3\u30b8*\u7dcf\u30d9\u30c3\u30c8\u3002\u4eee\u60f3\u30b0\u30e9\u30d5: \u8cc7\u91d1\u66f2\u7dda\u304c\u30de\u30fc\u30c1\u30f3\u3088\u308a\u5b89\u5b9a\u3082\u3001\u30d4\u30fc\u30af\u9ad8\u3002<\/p>\n\n\n\n<p>\u5b9f\u8df5\u30a2\u30af\u30b7\u30e7\u30f3: \u30b3\u30b3\u30e2\u6cd5\u3092\u8a66\u3059\u305f\u3081\u3001\u30ce\u30fc\u30c8\u306b\u30d5\u30a3\u30dc\u30ca\u30c3\u30c1\u5217\u3092\u66f8\u3044\u3066\u4eee\u60f3\u30d0\u30ab\u30e910\u56de\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3002\u30aa\u30f3\u30e9\u30a4\u30f3\u78ba\u7387\u30c4\u30fc\u30eb\u3067\u671f\u5f85\u5024\u8a08\u7b97\u3092\u7df4\u7fd2\u3057\u307e\u3057\u3087\u3046\u3002\u8ca0\u3051\u30d1\u30bf\u30fc\u30f3\u3092\u5206\u6790\u3057\u3001\u4f9d\u5b58\u4e88\u9632\u3068\u3057\u30661\u65e5\u5b66\u7fd2\u6642\u9593\u309230\u5206\u306b\u5236\u9650\u3057\u3066\u304f\u3060\u3055\u3044\u3002\uff08\u7d04720\u6587\u5b57\uff09<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u9006\u30de\u30fc\u30c1\u30f3\u30b2\u30fc\u30eb\u6cd5\u306e\u8a73\u7d30\u3068\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3<\/h3>\n\n\n\n<p>\u9006\u30de\u30fc\u30c1\u30f3\u30b2\u30fc\u30eb\u6cd5\uff08\u30d1\u30fc\u30ec\u30fc\u6cd5\uff09\u306f\u3001\u52dd\u3061\u6642\u306b\u8ced\u3051\u91d1\u3092\u500d\u306b\u3057\u3001\u8ca0\u3051\u3067\u30ea\u30bb\u30c3\u30c8\u3059\u308b\u653b\u6483\u578b\u653b\u7565\u6cd5\u3067\u3059\u3002\u5229\u76ca\u3092\u4f38\u3070\u3059\u306e\u306b\u9069\u3057\u307e\u3059\u304c\u3001\u9023\u52dd\u4f9d\u5b58\u3067\u5909\u52d5\u5927\u30022026\u5e74\u306e\u30c7\u30fc\u30bf\u5206\u6790\u3067\u3001\u77ed\u671f\u5229\u76ca\u5411\u304d\u3067\u3059\u304c\u3001\u30cf\u30a6\u30b9\u30a8\u30c3\u30b8\u3067\u5168\u4f53\u4e0d\u5229\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u624b\u9806\u3068\u30e1\u30ea\u30c3\u30c8\u30fb\u30c7\u30e1\u30ea\u30c3\u30c8<\/h4>\n\n\n\n<p>\u624b\u9806: 1. \u57fa\u672c\u5358\u4f4d1\u304b\u3089\u30022. \u52dd\u3063\u305f\u3089\u500d\uff081\u52dd\u3061\u21922\u52dd\u3061\u21924\uff09\u30023. \u8ca0\u3051or\u76ee\u6a19\u9054\u6210\u3067\u30ea\u30bb\u30c3\u30c8\u3002\u30e1\u30ea\u30c3\u30c8: \u52dd\u3061\u30b9\u30c8\u30ea\u30fc\u30af\u3067\u5927\u5229\u76ca\u3001\u8cc7\u91d1\u30ea\u30b9\u30af\u4f4e\u3002\u30c7\u30e1\u30ea\u30c3\u30c8: \u9023\u52dd\u7a00\u3067\u30011\u8ca0\u3051\u3067\u5229\u76ca\u6d88\u6ec5\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u5b9f\u8df5\u4f8b\u3068\u671f\u5f85\u5024\u8a08\u7b97<\/h4>\n\n\n\n<p>\u5b9f\u8df5\u4f8b: \u30d6\u30e9\u30c3\u30af\u30b8\u30e3\u30c3\u30af\uff08\u52dd\u738742%\uff09\u30021\u52dd\u3061\u21922\u52dd\u3061\u21924\u8ca0\u3051\u3067-1\u3002\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3: 100\u56de\u3067\u5206\u6563\u5927\u3001\u5e73\u5747E&lt;0\u3002\u671f\u5f85\u5024\u8a08\u7b97: \u9023\u52dd\u78ba\u7387p^n\u3067\u5229\u76ca(2^n-1)\u3001\u5168\u4f53E=-\u30cf\u30a6\u30b9\u30a8\u30c3\u30b8\u3002<\/p>\n\n\n\n<p>\u5b9f\u8df5\u30a2\u30af\u30b7\u30e7\u30f3: \u9006\u30de\u30fc\u30c1\u30f3\u3092\u5b66\u3076\u305f\u3081\u3001\u30c0\u30a4\u30b9\u30b2\u30fc\u30e0\u30a2\u30d7\u30ea\u3067\u9023\u52dd\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3002\u671f\u5f85\u5024\u5f0f\u3092\u30e1\u30e2\u3057\u3001\u8a08\u7b97\u7df4\u7fd2\u3092\u3002\u5a2f\u697d\u3068\u3057\u3066\u30dc\u30fc\u30c9\u30b2\u30fc\u30e0\u3067\u5fdc\u7528\u3057\u307e\u3057\u3087\u3046\u3002\uff08\u7d04680\u6587\u5b57\uff09<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u653b\u7565\u6cd5\u306e\u6bd4\u8f03\u3068\u6ce8\u610f\u70b9<\/h3>\n\n\n\n<p>3\u6cd5\u306e\u6bd4\u8f03: | \u6cd5 | \u52dd\u7387\u63a8\u8a08 | \u30ea\u30b9\u30af | \u5fc5\u8981\u8cc7\u91d1 | |&#8212;|&#8212;|&#8212;|&#8212;| | \u30de\u30fc\u30c1\u30f3 | 48% | \u9ad8\uff08\u9023\u6557\u67af\u6e07\uff09 | \u9ad8 | | \u30b3\u30b3\u30e2 | 48% | \u4e2d | \u4e2d | | \u9006 | 50% | \u4f4e\uff08\u5909\u52d5\u5927\uff09 | \u4f4e |\u3002\u5168\u4f53\u3067\u30cf\u30a6\u30b9\u30a8\u30c3\u30b8\u306b\u3088\u308a\u640d\u5931\u50be\u5411\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u5404\u6cd5\u306e\u52dd\u7387\u30fb\u30ea\u30b9\u30af\u6bd4\u8f03<\/h4>\n\n\n\n<p>\u52dd\u7387\u306f\u30b2\u30fc\u30e0\u4f9d\u5b58\uff08\u30eb\u30fc\u30ec\u30c3\u30c848%\u5e73\u5747\uff09\u3001\u30ea\u30b9\u30af\u306f\u8cc7\u91d1\u5909\u52d5\u3067\u30de\u30fc\u30c1\u30f3\u6700\u9ad8\u3002\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u63a8\u8a08: 1000\u56de\u3067\u30de\u30fc\u30c1\u30f3\u640d\u5931\u73875%\u3001\u30b3\u30b3\u30e24%\u3001\u90063%\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u4f9d\u5b58\u75c7\u4e88\u9632\u3068\u30c8\u30e9\u30d6\u30eb\u56de\u907f<\/h4>\n\n\n\n<p>\u4e88\u9632: \u30bb\u30eb\u30d5\u30c1\u30a7\u30c3\u30af\uff08\u501f\u91d1? \u6642\u9593\u8d85\u904e?\uff09\u3001\u76f8\u8ac7\u7a93\u53e3\u6d3b\u7528\u3002\u56de\u907f: 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