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src='\/wp-content\/uploads\/2026\/03\/1773602077135_7.jpg' alt='\u767e\u5bb6\u4e50\u6e38\u620f\u89c4\u5219_\u4e45\u8d4c\u65e0\u8d62\u5bb6\u7684\u539f\u56e0_\u5fb7\u5dde\u6251\u514b \u6212\u6389' \/><\/p>\n<p><img src='\/wp-content\/uploads\/2026\/03\/1773602077135_8.jpg' alt='\u5fb7\u5dde\u6251\u514b \u6212\u6389_\u767e\u5bb6\u4e50\u6e38\u620f\u89c4\u5219_\u4e45\u8d4c\u65e0\u8d62\u5bb6\u7684\u539f\u56e0' 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src='\/wp-content\/uploads\/2026\/03\/1773602077135_13.jpg' alt='\u767e\u5bb6\u4e50\u6e38\u620f\u89c4\u5219_\u4e45\u8d4c\u65e0\u8d62\u5bb6\u7684\u539f\u56e0_\u5fb7\u5dde\u6251\u514b \u6212\u6389' 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src='\/wp-content\/uploads\/2026\/03\/1773602077135_14.jpg' alt='\u5fb7\u5dde\u6251\u514b \u6212\u6389_\u767e\u5bb6\u4e50\u6e38\u620f\u89c4\u5219_\u4e45\u8d4c\u65e0\u8d62\u5bb6\u7684\u539f\u56e0' \/><\/p>\n<p>\u683c\u857e\u4e1d\u00b7\u51ef\u5229<\/p>\n<p>\u6709\u4e00\u4e2a\u539f\u672c\u662f\u7eba\u7ec7\u4f01\u4e1a\u4e3b\u7684\u82f1\u56fd\u4eba\uff0c\u540d\u53eb\u7ea6\u745f\u592b.\u8d3e\u683c\u5c14\uff0c\u800c\u540e\u7834\u4ea7\u4e86\uff0c\u4ed6\u662f\u8499\u7279\u5361\u7f57\u65b9\u6cd5\u6700\u521d\u7684\u5b9e\u8df5\u8005\u3002<\/p>\n<p><img src='\/wp-content\/uploads\/2026\/03\/1773602077135_15.jpg' alt='\u767e\u5bb6\u4e50\u6e38\u620f\u89c4\u5219_\u4e45\u8d4c\u65e0\u8d62\u5bb6\u7684\u539f\u56e0_\u5fb7\u5dde\u6251\u514b \u6212\u6389' 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src='\/wp-content\/uploads\/2026\/03\/1773602077135_17.webp' alt='\u5fb7\u5dde\u6251\u514b \u6212\u6389_\u4e45\u8d4c\u65e0\u8d62\u5bb6\u7684\u539f\u56e0_\u767e\u5bb6\u4e50\u6e38\u620f\u89c4\u5219' \/><\/p>\n<p>\u73b0\u4ee3\u8d4c\u573a<\/p>\n<p>\u8d4c\u5f92\u8f93\u5149\u539f\u7406<\/p>\n<p>\u5174\u8bb8\u6709\u4eba\u4f1a\u8fd9\u4e48\u60f3\uff1a\u96be\u9053\u5c31\u4e0d\u5b58\u5728\u4e00\u4e2a\u516c\u5e73\u7684\u8d4c\u535a\u6e38\u620f\u5417\uff1f\u6709\u4e00\u4f4d\u826f\u5fc3\u8001\u677f\uff0c\u4ed6\u5168\u7136\u4e0d\u62bd\u6c34\uff0c\u4ec5\u4ec5\u662f\u4e3a\u4f17\u4eba\u63d0\u4f9b\u4f18\u826f\u7684\u670d\u52a1\u3002\u5b9e\u9645\u4e0a\uff0c\u5c31\u7b97\u662f\u4e00\u6b3e\u770b\u8d77\u6765\u516c\u5e73\u7684\u8d4c\u535a\u6e38\u620f\uff0c\u53ea\u8981\u957f\u65f6\u95f4\u6301\u7eed\u8d4c\u535a\u4e0b\u53bb\uff0c\u8d4c\u5f92\u5fc5\u5b9a\u4f1a\u843d\u5f97\u503e\u5bb6\u8361\u4ea7\u7684\u4e0b\u573a\u3002\u8fd9\u5c31\u88ab\u79f0\u4f5c\u8d4c\u5f92\u8f93\u5149\u539f\u7406\u3002<\/p>\n<p>\u6211\u4eec\u6765\u7785\u4e00\u4e2a\u4f8b\u5b50\uff0c\u8981\u662f\u5b58\u5728\u4e00\u4e2a\u516c\u5e73\u7684\u8d4c\u535a\u6e38\u620f\uff0c\u5728\u6bcf\u4e00\u5c40\u5f53\u4e2d\uff0c\u8d4c\u5f92\u6709\u7740\u767e\u5206\u4e4b\u4e94\u5341\u7684\u53ef\u80fd\u6027\u8d62\u4e00\u5143\uff0c\u8fd8\u6709\u767e\u5206\u4e4b\u4e94\u5341\u7684\u53ef\u80fd\u6027\u8f93\u4e00\u5143\uff0c\u8d4c\u5f92\u539f\u672c\u6709A\u5143\uff0c\u4ed6\u5c06\u5728\u4e24\u79cd\u60c5\u5f62\u4e0b\u9000\u51fa\uff0c\u4e0d\u662f\u8f93\u5149\u5168\u90e8\u7684\u94b1\uff0c\u5c31\u662f\u8d62\u5230B\u5143\uff0c\u8bf7\u95ee\uff0c\u4ed6\u6700\u7ec8\u8f93\u5149\u672c\u91d1\u8fdb\u800c\u79bb\u5f00\u7684\u6982\u7387\u662f\u591a\u5c11\u5462\uff1f<\/p>\n<p>\u5b58\u5728\u8fd9\u6837\u4e00\u4e2a\u60c5\u51b5\uff0c\u6211\u4eec\u80fd\u591f\u501f\u52a9\u56fe\u50cf\u53bb\u5bf9\u8fd9\u4e2a\u95ee\u9898\u4e88\u4ee5\u63cf\u8ff0\uff0c\u6b64\u60c5\u51b5\u7b49\u540c\u4e8e\uff0c\u5b58\u5728\u4e00\u6761\u6570\u8f74\uff0c\u5176\u4e0a\u5b58\u5728\u4ece0\u5230B\u8fd9B+1\u4e2a\u4f4d\u7f6e\uff0c\u5206\u522b\u67090\u30011\u30012\u30013\u2026B\uff0c\u6709\u4e00\u4e2a\u8d4c\u5f92\u5904\u4e8eA\u4f4d\u7f6e\uff0c\u4ed6\u6bcf\u6b21\u4f1a\u968f\u673a\u6027\u5730\u5411\u5de6\u6216\u8005\u5411\u53f3\u79fb\u52a8\u4e00\u683c\uff0c\u82e5\u79fb\u52a8\u81f3\u5de6\u4fa7\u76840\u4f4d\u7f6e\u6216\u8005\u53f3\u4fa7\u7684B\u4f4d\u7f6e\uff0c\u6b64\u79cd\u60c5\u51b5\u4fbf\u4f1a\u4f7f\u6e38\u620f\u7ed3\u675f\uff0c\u90a3\u4e48\u73b0\u5728\u8981\u95ee\uff0c\u8d4c\u5f92\u6700\u7ec8\u79fb\u52a8\u81f30\u4f4d\u7f6e\u4ece\u800c\u8ba9\u6e38\u620f\u7ed3\u675f\uff0c\u8fd9\u79cd\u60c5\u51b5\u53d1\u751f\u7684\u6982\u7387\u7a76\u7adf\u6709\u591a\u5927\u5462\uff1f<\/p>\n<p><img src='\/wp-content\/uploads\/2026\/03\/1773602077135_18.webp' alt='\u5fb7\u5dde\u6251\u514b \u6212\u6389_\u4e45\u8d4c\u65e0\u8d62\u5bb6\u7684\u539f\u56e0_\u767e\u5bb6\u4e50\u6e38\u620f\u89c4\u5219' \/><\/p>\n<p>\u6c42\u53d6\u8fd9\u4e2a\u95ee\u9898\u7684\u7b54\u6848\u5e76\u975e\u56f0\u96be\uff1a\u5047\u8bbe\u8d4c\u5f92\u62e5\u6709n\u5143\u4e4b\u65f6\uff0c\u5176\u8f93\u5149\u5e76\u79bb\u5f00\u573a\u5730\u7684\u6982\u7387\u4e3aP(n)\u3002<\/p>\n<p>\u6309\u7167\u6e38\u620f\u7684\u89c4\u5219\u6765\u8bb2\uff0c\u8981\u662fn\u7b49\u4e8e0\u7684\u8bdd\uff0c\u90a3\u8d4c\u5f92\u5c31\u4f1a\u8f93\u5149\u7136\u540e\u79bb\u573a\uff0c\u6240\u4ee5P\uff080\uff09\u7b49\u4e8e100%\u3002<\/p>\n<p>\u82e5\u8d4c\u5f92\u6709\u4e86B\u5143\uff0c\u90a3\u4e48\u4ed6\u4f1a\u5e26\u7740\u5fc3\u6ee1\u610f\u8db3\u7684\u72b6\u6001\u800c\u79bb\u573a\uff0c\u8fd9\u65f6\u4e0d\u518d\u4f1a\u8f93\uff0c\u6240\u4ee5P(B)=0\u3002<\/p>\n<p>\u4e8e\u6bcf\u4e00\u56de\u6e38\u620f\u5f53\u4e2d\uff0c\u8d4c\u5f92\u968f\u673a\u6027\u5730\u8d62\u6216\u8005\u8f931\u5143\u94b1\uff0c\u8fd9\u610f\u5473\u7740\u8d4c\u5f92\u6240\u62e5\u6709\u7684\u94b1n\u5b58\u5728\u774050%\u7684\u53ef\u80fd\u6027\u4f1a\u8f6c\u53d8\u4e3an + 1\uff0c\u540c\u6837\u5b58\u572850%\u7684\u53ef\u80fd\u6027\u4f1a\u8f6c\u53d8\u4e3an &#8211; 1\uff0c\u6545\u800c\uff1aP(n)=50%\u00d7P(n + 1)+50%\u00d7P(n &#8211; 1)\u3002<\/p>\n<p>\u5c06\u6b64\u516c\u5f0f\u7684\u4e24\u8fb9\u90fd\u4e58\u4ee52\uff0c\u63a5\u7740\u8fdb\u884c\u4e00\u6b21\u79fb\u9879\u64cd\u4f5c\uff0c\u8fd9\u822c\u5f88\u8f7b\u6613\u5c31\u80fd\u5f97\u51fa\uff1aP(n + 1)\u51cf\u53bbP(n)\u7b49\u4e8eP(n)\u51cf\u53bbP(n &#8211; 1)\u3002<\/p>\n<p><img src='\/wp-content\/uploads\/2026\/03\/1773602077135_19.webp' alt='\u5fb7\u5dde\u6251\u514b \u6212\u6389_\u767e\u5bb6\u4e50\u6e38\u620f\u89c4\u5219_\u4e45\u8d4c\u65e0\u8d62\u5bb6\u7684\u539f\u56e0' \/><\/p>\n<p>\u4f60\u4f1a\u53d1\u89c9\uff0cP(n)\u6b64\u6570\u5217\u76f8\u90bb\u4e24\u9879\u4e4b\u95f4\u7684\u5dee\u4fdd\u6301\u4e0d\u53d8\uff0c\u8fd9\u5c5e\u4e8e\u4e00\u4e2a\u7b49\u5dee\u6570\u5217\uff0c\u5e76\u4e14\u5b83\u7684\u9996\u9879\u662fP(0)=100%\uff0c\u6700\u540e\u4e00\u9879\u662fP(N)=0\uff0c\u5b83\u662f\u4e00\u4e2a\u9010\u6b65\u51cf\u5c0f\u7684\u7b49\u5dee\u6570\u5217\uff0c\u6bcf\u4e00\u9879\u76f8\u8f83\u4e8e\u5b83\u7684\u524d\u4e00\u9879\u90fd\u8981\u5c111\/B\u3002<\/p>\n<p>\u6211\u4eec\u80fd\u591f\u7ed8\u5236\u51fa\u4e00\u5e45\u8f93\u5149\u6982\u7387P(n)\u8ddf\u5982\u4eca\u8d44\u91d1\u91cfn\u4e4b\u95f4\u5173\u7cfb\u7684\u56fe\uff0c\u501f\u7531\u6bd4\u4f8b\u5173\u7cfb\u5c31\u80fd\u5f88\u8f7b\u6613\u5730\u8fdb\u884c\u8ba1\u7b97\uff0c\u5f53\u8d4c\u5f92\u7684\u8d44\u91d1n\u7b49\u4e8eA\u4e4b\u9645\uff0c\u4ed6\u8f93\u5149\u7684\u6982\u7387\u662fP(A)\u7b49\u4e8e1\u51cf\u53bbA\u9664\u4ee5B\uff0c\u4e5f\u5c31\u662f\u8f93\u5149\u7684\u6982\u7387\u7684\u6570\u503c\u4e3a1\u51cf\u53bb\u5f53\u524d\u62e5\u6709\u7684\u94b1A\u88ab\u60f3\u8981\u8d62\u5230\u9000\u51fa\u65f6\u7684\u94b1B\u9664\u5f97\u7684\u7ed3\u679c\u3002<\/p>\n<p><img src='\/wp-content\/uploads\/2026\/03\/1773602077135_20.webp' alt='\u4e45\u8d4c\u65e0\u8d62\u5bb6\u7684\u539f\u56e0_\u5fb7\u5dde\u6251\u514b \u6212\u6389_\u767e\u5bb6\u4e50\u6e38\u620f\u89c4\u5219' 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