{"id":10666,"date":"2026-02-11T15:13:11","date_gmt":"2026-02-11T07:13:11","guid":{"rendered":"https:\/\/yiqihuijia.com.cn\/index.php\/2026\/02\/11\/%e6%89%91%e5%85%8b%e6%a6%82%e7%8e%87%e5%88%9d%e5%ad%a6%e8%80%85%e6%8c%87%e5%8d%97%ef%bc%8c%e5%8a%a9%e4%bd%a0%e8%bd%bb%e6%9d%be%e5%85%a5%e9%97%a8%e5%be%b7%e5%b7%9e%e6%89%91%e5%85%8b%e6%a6%82%e7%8e%87\/"},"modified":"2026-02-11T15:13:11","modified_gmt":"2026-02-11T07:13:11","slug":"%e6%89%91%e5%85%8b%e6%a6%82%e7%8e%87%e5%88%9d%e5%ad%a6%e8%80%85%e6%8c%87%e5%8d%97%ef%bc%8c%e5%8a%a9%e4%bd%a0%e8%bd%bb%e6%9d%be%e5%85%a5%e9%97%a8%e5%be%b7%e5%b7%9e%e6%89%91%e5%85%8b%e6%a6%82%e7%8e%87","status":"publish","type":"post","link":"https:\/\/qqovblr.com\/index.php\/2026\/02\/11\/%e6%89%91%e5%85%8b%e6%a6%82%e7%8e%87%e5%88%9d%e5%ad%a6%e8%80%85%e6%8c%87%e5%8d%97%ef%bc%8c%e5%8a%a9%e4%bd%a0%e8%bd%bb%e6%9d%be%e5%85%a5%e9%97%a8%e5%be%b7%e5%b7%9e%e6%89%91%e5%85%8b%e6%a6%82%e7%8e%87\/","title":{"rendered":"\u6251\u514b\u6982\u7387\u521d\u5b66\u8005\u6307\u5357\uff0c\u52a9\u4f60\u8f7b\u677e\u5165\u95e8\u5fb7\u5dde\u6251\u514b\u6982\u7387\u8ba1\u7b97"},"content":{"rendered":"<p>\u5018\u82e5\u4f60\u5177\u5907\u7b97\u6570\u80fd\u529b\uff0c\u90a3\u4f60\u4fbf\u80fd\u591f\u5b66\u7740\u5982\u6251\u514b\u73a9\u5bb6\u90a3\u822c\u8fdb\u884c\u601d\u8003\u3002\u6251\u514b\u6e38\u620f\u5728\u77ed\u671f\u5185\u770b\u4f3c\u662f\u51ed\u501f\u8fd0\u6c14\uff0c\u7136\u800c\u6bcf\u4e00\u4e2a\u51b3\u7b56\u7684\u80cc\u540e\u5747\u8574\u85cf\u7740<a href='\/index.php\/2026\/01\/13\/%e5%be%b7%e5%b7%9e%e6%89%91%e5%85%8b%e5%8a%9b%e9%87%8f%e6%8e%92%e5%90%8d%e7%ad%96%e7%95%a5%e8%a7%a3%e6%9e%90\/' title='\u7ec4\u5408\u6570\u5b66' target='_blank'>\u7ec4\u5408\u6570\u5b66<\/a>\u3001\u6982\u7387\u4ee5\u53ca<a href='\/index.php\/2026\/01\/16\/%e6%8e%a2%e7%b4%a2%e5%be%b7%e5%b7%9e%e6%89%91%e5%85%8b%e6%9c%9f%e6%9c%9b%e5%80%bc%ef%bc%8c%e6%95%b0%e5%ad%a6%e6%8f%ad%e7%a7%98%e8%83%9c%e8%b4%9f%e7%9a%84%e5%85%b3%e9%94%ae%e6%89%80%e5%9c%a8\/' title='\u671f\u671b\u503c' target='_blank'>\u671f\u671b\u503c<\/a> (EV)\u3002\u5728\u8fd9\u4efd\u6307\u5357\u5f53\u4e2d\uff0c\u4f60\u5c06\u4f1a\u5b66\u5230\u8fd9\u4e9b\u57fa\u7840\u5185\u5bb9\uff1a\u600e\u6837\u53bb\u8ba1\u7b97\u6bcf\u624b\u4e94\u5f20\u724c\u7684\u8d54\u7387\uff0c\u6761\u4ef6\u4fe1\u606f\u4f1a\u600e\u6837\u5bf9\u5fb7\u5dde\u6251\u514b\u91cc\u7684\u6982\u7387\u4ea7\u751f\u5f71\u54cd\uff0c\u4ee5\u53ca\u600e\u6837\u8fd0\u7528\u2026\u2026\u53bb\u6a21\u62df\u5404\u7c7b\u573a\u666f\u3002\u501f\u52a9 Python \u9a8c\u8bc1\u4f60\u7684\u76f4\u89c9\u3002\u5176\u76ee\u6807\u5e76\u975e\u4fdd\u8bc1\u8d62\u94b1\uff0c\u800c\u662f\u52a9\u529b\u4f60 \u901a\u77e5 \u51b3\u7b56\uff0c\u9886\u4f1a\u5dee\u5f02\uff0c\u5e76\u4e14\u9886\u7565\u7edf\u8ba1\u63a8\u7406\u7684\u7f8e\u5999\u4e4b\u6240\u5728\u3002<\/p>\n<p>\u6559\u80b2\u8bf4\u660e\uff1a\u6b64\u5185\u5bb9\u4ec5\u4ec5\u662f\u4f9b\u7528\u4e8e\u5b66\u4e60\u7edf\u8ba1\u4ee5\u53ca\u51b3\u7b56\u65b9\u9762\u7684\uff0c\u5e76\u4e0d\u4f5c\u51fa\u76c8\u5229\u7684\u4fdd\u969c\uff0c\u4e5f\u4e0d\u8fdb\u884c\u8d4c\u535a\u884c\u4e3a\u7684\u9f13\u52b1\u3002<\/p>\n<p>\u60a8\u5c06\u5b66\u5230\u4ec0\u4e48\uff08\u6458\u8981\uff091\uff09\u724c\u7ec4\u3001\u7ec4\u5408\u548c\u6982\u7387\u8bed\u8a00<\/p>\n<p>\u4e00\u526f\u6709\u774052\u5f20\u7684\u6807\u51c6\u724c\uff0c\u6709\u774013\u4e2a\u70b9\u6570\uff0c\u5206\u522b\u662fA\u30012\u3001\u2026\u3001K \uff0c\u8fd8\u5b58\u57284\u4e2a\u82b1\u8272 \uff0c\u5728\u4e94\u5f20\u724c\u7684\u6251\u514b\u91cc\u9762\uff0c\u6bcf\u4e00\u624b\u724c\u5b83\u90fd\u662f\u4e00\u4e2a\u4e94\u5f20\u724c\u7684\u7ec4\u5408\uff0c\u5e76\u4e14\u662f\u65e0\u5e8f\u7684\u3002<\/p>\n<p>5 \u5f20\u724c\u7684\u624b\u724c\u603b\u6570\u7b49\u4e8e\u4ece 52 \u5f20\u724c\u4e2d\u9009 5 \u5f20\u7684\u7ec4\u5408\u6570\uff0c\uff0c\u8fd9\u4e2a\u7ec4\u5408\u6570\u7b49\u4e8e 52 \u7684\u9636\u4e58\u9664\u4ee5 5 \u7684\u9636\u4e58\u4e0e 47 \u7684\u9636\u4e58\u7684\u4e58\u79ef\uff0c\uff0c\u5176\u7ed3\u679c\u4e3a 2598960\u3002<\/p>\n<p>\u8fd9\u4e2a\u6570\u5b57\uff0c\u662f\u6240\u6709\u4e94\u5f20\u724c\u6982\u7387\u7684\u5206\u6bcd\uff0c\u5728\u5fb7\u5dde\u6251\u514b\u91cc\u73a9\uff0c\u5bb6\u4f1a\u62ff\u5230\u4e24\u5f20\u5e95\u724c\uff0c\u4e4b\u540e\u8fd8\u8981\u8ddf\u4e94\u5f20\u516c\u5171\u724c\u7ec4\u5408\uff0c\u6211\u4eec\u901a\u5e38\u91c7\u7528\u6761\u4ef6\u8ba1\u6570\u6216\u8005\u6a21\u62df\uff0c\u56e0\u4e3a\u4ea4\u6613\u5e8f\u5217\u4ee5\u53ca\u73a9\u5bb6\u4e92\u52a8\u81f4\u4f7f\u4ee3\u6570\u53d8\u5f97\u6df7\u4e71\u3002<\/p>\n<p>2\uff09\u4e94\u5f20\u724c\u6251\u514b\u724c\u578b\u7684\u51c6\u786e\u8d54\u7387<\/p>\n<p>\u8ddf\u7740\u662f\u4e94\u5f20\u724c\u7684\u6807\u51c6\u70b9\u6570\u4ee5\u53ca\u6982\u7387\u3002\u4f60\u80fd\u591f\u8fd0\u7528\u7ec4\u5408\u518d\u6b21\u53bb\u63a8\u5bfc\u6bcf\u4e00\u4e2a\u70b9\u6570\uff1b\u6211\u7387\u5148\u5c55\u793a\u4e00\u56de\u63a8\u5bfc\u8fc7\u7a0b\uff0c\u968f\u540e\u4f9b\u7ed9\u8868\u683c\u3002<\/p>\n<p>\u5bf9\u63a8\u5bfc\u793a\u4f8b\u6765\u8bf4\uff0c\u4e00\u5bf9\u7684\u7ec4\u5408\u8ba1\u6570\u4e3a\uff0c\u4ece13\u4e2a\u70b9\u6570\u4e2d\u90091\u4e2a\u7684\u7ec4\u5408\u6570\uff0c\u4e58\u4ee5\u4ece4\u79cd\u82b1\u4e2d\u90092\u5f20\u6210\u5bf9\u724c\u7684\u7ec4\u5408\u6570\uff0c\u518d\u4e58\u4ee5\u4ece\u5269\u4e0b12\u4e2a\u70b9\u6570\u4e2d\u90093\u4e2a\u4e0d\u540c\u70b9\u6570\u7684\u7ec4\u5408\u6570\uff0c\u4e58\u4ee5\u4e00\u79cd\u70b9\u6570\u76844\u5f20\u724c\u4e2d\u90093\u5f20\u7684\u4e0d\u540c\u9009\u6cd5\u6570\u76843\u6b21\u65b9\u6240\u5f97\u5230\u7684\u5177\u4f53\u6570\u503c\uff0c\u53731,098,240 \uff0c\u800c\u4e00\u5bf9\u7684\u6982\u7387\u662f\u7528\u4e00\u5bf9\u7684\u76f8\u5e94\u7ec4\u5408\u8ba1\u6570\u9664\u4ee5\u4ece52\u5f20\u724c\u4e2d\u90095\u5f20\u724c\u7684\u7ec4\u5408\u6570\uff0c\u76f8\u9664\u540e\u5927\u7ea6\u5f97\u52300.4226 \uff0c\u4e5f\u5c31\u662f42.26% \uff0c\u8fd9\u662f\u5173\u4e8e\u6807\u51c6\u4e94\u5f20\u724c\u6982\u7387\u4e2d\u624b\u578b\u7684\u7ec4\u5408\u8ba1\u6570\u4ee5\u53ca\u673a\u7387\u7684\u60c5\u51b5\u3002<\/p>\n<p>\u7687\u5bb6\u540c\u82b1\u987a<\/p>\n<p>0.000154%<\/p>\n<p>\u540c\u82b1\u987a\uff08\u524d\u7687\u5bb6\uff09<\/p>\n<p>36<\/p>\n<p>0.001385%<\/p>\n<p>\u540c\u4e00\u6837\u56db\u4e2a<\/p>\n<p>624<\/p>\n<p>0.0240%<\/p>\n<p>\u6ee1\u5c4b<\/p>\n<p>3,744<\/p>\n<p>0.1441%<\/p>\n<p>\u540c\u82b1\uff08\u524d\u540c\u82b1\u987a\uff09<\/p>\n<p>5,108<\/p>\n<p>0.1965%<\/p>\n<p>\u987a\u5b50\uff08\u524d\u540c\u82b1\u987a\uff09<\/p>\n<p>10,200<\/p>\n<p>0.3925%<\/p>\n<p>\u4e09\u540c<\/p>\n<p>54,912<\/p>\n<p>2.1128%<\/p>\n<p>\u4e24\u5bf9<\/p>\n<p>123,552<\/p>\n<p>4.7539%<\/p>\n<p>\u4e00\u5bf9<\/p>\n<p>1,098,240<\/p>\n<p>42.2569%<\/p>\n<p>\u9ad8\u724c\uff08\u65e0\u5bf9\u5b50\uff0c\u65e0\u987a\u5b50\/\u540c\u82b1\uff09<\/p>\n<p>1,302,540<\/p>\n<p>50.1177%<\/p>\n<p>3\uff09\u4ece\u8ba1\u7b97\u5230\u51b3\u7b56\uff1a\u5e95\u6c60\u8d54\u7387\u548c\u671f\u671b\u503c<\/p>\n<p>\u628a\u7269\u4f53\u6570\u91cf\u9010\u4e00\u67e5\u7b97\u6e05\u695a\u4e43\u662f\u6839\u57fa\u6240\u5728\uff0c\u505a\u51fa\u6289\u62e9\u8981\u51ed\u501f\u9884\u671f\u4ef7\u503c\uff08EV\uff09\u65b9\u80fd\u786e\u5b9a\u3002\u8981\u662f\u4e00\u9879\u884c\u52a8\u81f4\u4f7f\u51fa\u73b0\u4e86\u76f8\u5e94\u6210\u679c\uff0c\u5b58\u5728\u67d0\u79cd\u53ef\u80fd\u6027\uff0c\u968f\u540e\u518d\u6301\u7eed\u5f00\u5c55\u63a5\u4e0b\u6765\u7684\u6b65\u9aa4\uff1a<\/p>\n<p>mathrm{EV}=sum_{i} p_i,x_i<\/p>\n<p>\u7528\u4e8e\u6251\u514b\u91cc\uff0c\u90a3\u4f5c\u4e3a\u91d1\u94b1\u5b58\u5728\u7684\uff0c\u662f\u4f60\u8d62\uff08\u7528\u201c+\u201d\u8868\u793a\uff09\u6216\u8005\u8f93\uff08\u7528\u201c-\u201d\u8868\u793a\uff09\u65f6\u6240\u51ed\u501f\u7684\u7b79\u7801\u3002\u5f53\u5904\u4e8e\u76c8\u5229\u72b6\u51b5\u65f6\uff0c\u547c\u53eb\u7684\u6761\u4ef6\u662f(EVgt0)\u3002\u5728\u62e5\u6709\u7ed8\u56fe\u624b\u7684\u60c5\u5f62\u4e0b\uff0c\u6211\u4eec\u5e38\u5e38\u4f1a\u9488\u5bf9\u5e95\u6c60\u8d54\u7387\u4e0e\u62bd\u5956\u8d54\u7387\u8fdb\u884c\u6bd4\u8f83\u3002<\/p>\n<p>\u7528p\u661f\u8868\u793a\u90a3\u6570\u503c\uff0c\u5b83\u7b49\u4e8e\uff0c\u4ee5\u8d4e\u56de\u91d1\u989d\u4e3a\u5206\u5b50\uff0c\u4ee5\uff0c\u8d4e\u56de\u91d1\u989d\u52a0\u4e0apot\u7684\u548c\u4e3a\u5206\u6bcd\uff0c\u6240\u6784\u6210\u7684\u5206\u6570\u7684\u503c\u3002<\/p>\n<p>\u8ba1\u8d39\u7684\u793a\u4f8b\u5448\u73b0\u4e3a\uff0c\u5e95\u6c60\u7684\u91d1\u989d\u662f90\u7f8e\u5143\uff0c\u5bf9\u624b\u8fdb\u884c\u4e8610\u7f8e\u5143\u7684\u4e0b\u6ce8\uff0c\u60a8\u9700\u8981\u8ddf\u6ce810\u7f8e\u5143\u624d\u80fd\u591f\u53bb\u67e5\u770b\u4e0b\u4e00\u5f20\u724c\uff0c\u8ddf\u6ce8\u4e4b\u540e\u5e95\u6c60\u7684\u91d1\u989d\u53d8\u6210\u4e86110\u7f8e\u5143\u3002<\/p>\n<p>\u6536\u652f\u5b9e\u73b0\u5e73\u8861\uff0c\u6b64\u65f6\u7684p\u661f\u7b49\u4e8e\u5341\u4e00\u5206\u4e4b\u5341\uff0c\u7ea6\u4e3a\u767e\u5206\u4e4b\u4e5d\u70b9\u96f6\u4e5d\u3002<\/p>\n<p>\u8981\u662f\u4f60\u63d0\u5347\uff08\u4e14\u53d6\u80dc\uff09\u7684\u51e0\u7387\u8d85\u51fa9.09%\uff0c\u547c\u558a\u5177\u5907\u79ef\u6781\u610f\u4e49\u7684\u82af\u7247\u7535\u52a8\u6c7d\u8f66\uff0c\u5ffd\u89c6\u672a\u6765\u7684\u6295\u6ce8\uff0c\u8fd9\u5c5e\u4e8e\u9690\u542b\u8d54\u7387\u3002<\/p>\n<p>4\uff09\u724c\u684c\u4e0a\u7684\u8865\u724c\u548c\u8fd1\u4f3c\u89c4\u5219<\/p>\n<p>An\u662f\u4e00\u5f20\u7785\u4e0d\u89c1\u7684\u724c\uff0c\u80fd\u591f\u63d0\u5347\u4f60\u7684\u724c\u529b\uff0c\u81f4\u4f7f\u4f60\u7684\u724c\u529b\u5904\u5728\u6700\u4f73\u72b6\u6001\u3002\u8981\u662f\u5b58\u5728\u4e00\u5f20\u724c\uff08\u6cb3\u724c\uff09\uff0c\u90a3\u4e48\u8d77\u7801\u4f1a\u51fb\u4e2d\u4e00\u5f20\u4f60\u7684k\uff0c\u90a3\u4e9b\u5269\u4e0b\u6765\u672a\u89c1\u7684\u724c\u7684\u51fa\u5c40\u6570\u5927\u81f4\u4e3a\uff1a<\/p>\n<p>\u5bf9\u4e8e\u6cb3\u724c\u5708\u51fb\u4e2d\u7684\u6982\u7387\u800c\u8a00\uff0c\u5176\u8fd1\u4f3c\u7b49\u4e8e\uff0c\u8fd9\u4e2a\u6570 k \u9664\u4ee5 46\u3002<\/p>\n<p>\u501f\u52a9\u5373\u5c06\u51fa\u73b0\u7684\u4e24\u5f20\u724c\uff0c\u4e5f\u5c31\u662f\u8f6c\u52a8\u724c\u548c\u6cb3\u6d41\u724c\uff0c\u80fd\u786e\u5b9a\u7684\u4e00\u4e2a\u4fbf\u4e8e\u4f7f\u7528\u7684\u8fd1\u4f3c\u503c\u662f4\u548c2\u89c4\u5219\u3002<\/p>\n<p>\u5e38\u89c1\u51fa\u5c40\u6570<\/p>\n<p>5\uff09\u5fb7\u5dde\u6251\u514b\u4e2d\u7684\u6761\u4ef6\u6982\u7387<\/p>\n<p>\u4fe1\u606f\u4f9d\u7167\u9636\u6bb5\u62b5\u8fbe\uff0c\uff08\u4ece\u7ffb\u724c\u524d\u5f00\u59cb\uff0c\u5230\u7ffb\u724c\uff0c\u518d\u5230\u8f6c\u724c\uff0c\u6700\u540e\u5230\u6cb3\u724c\uff09\u3002\u6bcf\u4e00\u56de\u63ed\u793a\u6761\u4ef6\u6982\u7387\u7a7a\u95f4\u3002\u82e5\u662f A \u5c5e\u4e8e\u201c\u6211\u4e8e\u6cb3\u724c\u5708\u83b7\u53d6\u540c\u82b1\u201d\u7684\u4e8b\u4ef6\uff0cB \u4e8b\u4ef6\u4e3a\u201c\u7ffb\u724c\u5708\u5c55\u73b0\u6211\u7684\u4e24\u5f20\u82b1\u8272\u724c\u201d\uff0c\u90a3\u4e48\uff1a<\/p>\n<p>\u4e8b\u4ef6A\u5728\u4e8b\u4ef6B\u53d1\u751f\u7684\u6761\u4ef6\u4e0b\u7684\u6982\u7387\uff0c\u7b49\u4e8e\u4e8b\u4ef6A\u4e0e\u4e8b\u4ef6B\u540c\u65f6\u53d1\u751f\u7684\u6982\u7387\u9664\u4ee5\u4e8b\u4ef6B\u53d1\u751f\u7684\u6982\u7387\u54df\u3002<\/p>\n<p>\u73a9\u5bb6\u5e76\u975e\u6bcf\u6b21\u90fd\u8981\u5f00\u5c55\u590d\u6742\u7684\u679a\u4e3e\u884c\u4e3a\uff0c\u800c\u662f\u53bb\u8fd0\u7528\u51fa\u5c40\u4ee5\u53ca\u8fd1\u4f3c\u503c\uff0c\u6216\u8005\u8fd0\u7528\u5b83\u4eec\u6240\u8fdb\u884c\u7684\u6a21\u62df\u3002<\/p>\n<p>\u4f8b\u5982\uff1a\u7ffb\u724c\u540e\uff0c\u6cb3\u724c\u5708\u51fa\u73b0\u540c\u82b1 4\uff0c<\/p>\n<p>\u4f60\u624b\u4e0a\u6301\u6709\u4e24\u5f20\u7ea2\u5fc3\u724c\uff0c\u7ffb\u724c\u5708\u5448\u73b0\u51fa\u4e24\u5f20\u7ea2\u5fc3\u724c\uff0c\u8fd9\u81f4\u4f7f\u4f60\u51fa\u73b04\u5fc3\u5408\u5e76\u4ee5\u53ca9\u51fa\u5c40\u7684\u60c5\u51b5\uff0c\u4e5f\u5c31\u662f13\u7ea2\u5fc3\u51cf\u53bb4\u89c1\u7ea2\u5fc3\u3002\u5173\u4e8e\u201c\u8f6c\u724c\u548c\u6cb3\u724c\u5747\u672a\u4e2d\u201d\u7684\u7cbe\u786e\u4e92\u8865\u8ba1\u7b97\uff1a<\/p>\n<p>\u8f6c\u724c\u51fa\u73b0\u6ca1\u6709\u7ea2\u6843\u7684\u6982\u7387\uff0c\u4e0e\u6cb3\u724c\u51fa\u73b0\u6ca1\u6709\u7ea2\u6843\u7684\u6982\u7387\u7684\u4e58\u79ef\u4e3a\uff0c\u4e09\u5341\u4e5d\u9664\u4ee5\u56db\u5341\u4e03\uff0c\u518d\u4e58\u4ee5\u4e09\u5341\u516b\u9664\u4ee5\u56db\u5341\u516d\uff0c\u7ea6\u7b49\u4e8e\u96f6\u70b9\u516d\u4e03\u516d\u3002<\/p>\n<p>\u6240\u4ee5\u5fb7\u4fe1\u7ade\u6280\uff0c<\/p>\n<p>P\uff08\u6cb3\u724c\u5708\u540c\u82b1\uff09\u7ea6\u7b49\u4e8e\uff0c1\u51cf\u53bb0.676\u7684\u7ed3\u679c\uff0c\u7b49\u4e8e0.324\u3002<\/p>\n<p>\u5339\u914d 4\u89c4\u5219 \u76f4\u89c9 k = 9 \u7ffb\u724c\u540e\u3002<\/p>\n<p>6\uff09Python\uff1a\u8ba1\u6570\u3001\u8d54\u7387\u8868\u548c\u5fae\u578b\u6a21\u62df\u5668<\/p>\n<p>\u60a8\u65e0\u9700\u501f\u52a9\u6c42\u89e3\u5668\u5373\u53ef\u5b66\u4e60\u3002\u4ece\u4e09\u4e2a\u5b9e\u7528\u811a\u672c\u5f00\u59cb\u3002<\/p>\n<p>6.1 \u51c6\u786e\u8ba1\u7b97\u4e94\u5f20\u724c\u7684\u6982\u7387<\/p>\n<p><pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\" data-enlighter-theme=\"enlighter\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"true\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\u5bfc\u5165\u6570\u5b66 def nCk(n\uff0ck): \u8fd4\u56de math.comb(n\uff0ck) total = nCk(52\uff0c5) counts = { \"royal_flush\": 4, \"straight_flush_ex_royal\": 36, \"four_of_a_kind\": 624, \"full_house\": 3744, \"flush_ex_straight_flush\": 5108, \"straight_ex_straight_flush\": 10200, \"three_of_a_kind\": 54912, \"two_pair\": 123552, \"one_pair\": 1098240, \"high_card\": 1302540 } for hand, c in counts.items(): p = c \/ total print(hand, c, f\"{100*p:.6f}%\")\n<\/pre>\n<\/p>\n<p>6.2 \u8865\u724c\u3001\u5e95\u6c60\u8d54\u7387\u548c\u671f\u671b\u503c\u52a9\u624b<\/p>\n<p><pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\" data-enlighter-theme=\"enlighter\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"true\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">def break_even_prob_to_call(amount_to_call, pot_before_call): pot_after_call = pot_before_call + amount_to_call return amount_to_call \/ pot_after_call def approx_hit_prob(outs, cards_to_come=1): # 2 \u548c 4 \u89c4\u5219 if cards_to_come == 1: return min(1.0, outs * 2 \/ 100) elif cards_to_come == 2: return min(1.0, outs * 4 \/ 100) else: raise ValueError(\"cards_to_come must be 1 or 2\") def call_chip_ev(amount_to_call, pot_before_call, win_prob): pot_after_call = pot_before_call + amount_to_call # EV = win_prob * pot_after_call - (1 - win_prob) * amount_to_call return win_prob * pot_after_call - (1 - win_prob) * amount_to_call # \u4f8b\u5982\uff1ato_call = 10 pot = 90 p_be = break_even_prob_to_call(to_call, pot) p_approx = approx_hit_prob(outs=9, cards_to_come=2) # \u7ffb\u724c\u540e\u540c\u82b1 ev = call_chip_ev(to_call, pot, p_approx) print(\"\u76c8\u4e8f\u5e73\u8861\u6982\u7387\uff1a\", round(p_be, 4)) print(\"\u8fd1\u4f3c\u83b7\u80dc\u6982\u7387\uff1a\", round(p_approx, 4)) print(\"\u8ddf\u6ce8\u7684\u7b79\u7801 EV\uff1a\", round(ev, 2))\n<\/pre>\n<\/p>\n<p>6.3 \u5355\u6311\u5fb7\u5dde\u6251\u514b\u7684\u8ff7\u4f60\u8499\u7279\u5361\u6d1b\uff08\u975e\u5e38\u7b80\u5316\uff09<\/p>\n<p><pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\" data-enlighter-theme=\"enlighter\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"true\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\u4ece\u96c6\u5408\u4e2d\u5bfc\u5165\u968f\u673a\u6570\uff0c\u4ece itertools \u5bfc\u5165\u8ba1\u6570\u5668\uff0c\u4ece itertools \u5bfc\u5165\u7ec4\u5408\uff0c\u6392\u540d = \"23456789TJQKA\"\uff0c\u82b1\u8272 = \"CDHS\"\uff0c\u724c\u7ec4 = [r+s for <a href=\"https:\/\/zh-cn.statisticseasily.com\/%E5%85%8D%E8%B4%B9%E6%95%B0%E6%8D%AE%E5%88%86%E6%9E%90%E5%B7%A5%E5%85%B7\/\" title=\"\u8be6\u7ec6\u4e86\u89e3 r\">r<\/a> \u5728\u82b1\u8272\u4e3a s \u7684\u6392\u540d\u4e2d] def hand_rank_5(cards5): rs = sorted([c[0] for c in cards5], key=ranks.index) ss = [c[1] for c in cards5] is_flush = len(set(ss)) == 1 vals = sorted([ranks.index(r) for r in rs]) is_straight = all(vals[i]+1 == vals[i+1] for i in range(4)) or vals == [0,1,2,3,12] cnt = Counter(rs).most_common() counts = sorted([c for _, c in cnt], reverse=True) if is_straight and is_flush: cat = 8 elif counts == [4,1]: cat = 7 elif counts == [3,2]: cat = 6 elif is_flush: cat = 5 elif is_straight\uff1a cat = 4 elif counts == [3,1,1]\uff1a cat = 3 elif counts == [2,2,1]\uff1a cat = 2 elif counts == [2,1,1,1]\uff1a cat = 1 else\uff1a cat = 0 order = [] for r,c in sorted(cnt\uff0ckey=lambda x:(x[1]\uff0cranks.index(x[0]))\uff0creverse=True\uff09\uff1a order += [r]*c key = tuple(sorted([ranks.index(r) for r in order]\uff0creverse=True)) return (cat\uff0ckey) def best_5_from_7(cards7): best = None for comb in combinations(cards7, 5): rank = hand_rank_5(comb) if best \u4e3a None \u6216 rank &gt; best\uff1a best = rank return best def simulate_heads_up(hole_hero\uff0citers=20000): wins = ties = 0 for _ in range(iters): d = deck.copy() for c in hole_hero: d.remove(c) random.shuffle(d) villain = d[:2] board = d[2:7] hero_best = best_5_from_7(hole_hero + board) vill_best = best_5_from_7(villain + board) if hero_best &gt; vill_best: wins += 1 elif hero_best == vill_best: ties += 1 return (wins + 0.5*ties) \/ iters # \u793a\u4f8b\uff1a\u6a21\u62df AK hero = [\"AS\", \"KS\"] wr = simulate_heads_up(hero, iters=5000) print(\"AK suit (heads-up) \u7684\u9884\u4f30\u80dc\u7387\uff1a\", round(100*wr, 2), \"%\")\n<\/pre>\n<\/p>\n<p>7\uff09<a href='\/index.php\/2026\/01\/03\/%e8%81%8c%e4%b8%9a%e6%89%91%e5%85%8b%e5%86%a0%e5%86%9b%e4%bc%a0%e6%8e%88%e6%a6%82%e7%8e%87%e6%80%9d%e7%bb%b4%ef%bc%8c%e5%8a%a9%e4%bd%a0%e5%9c%a8%e5%be%b7%e5%b7%9e%e6%89%91%e5%85%8b%e7%a7%91%e5%ad%a6\/' title='\u8d1d\u53f6\u65af\u5b9a\u7406' 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