Question

9£®ÈËÀàABOѪÐÍÓÉ9ºÅȾɫÌåÉϵÄ3¸ö¸´µÈλ»ùÒò£¨I^A£¬I^BºÍi£©¾ö¶¨£¬ÑªÐ͵ĻùÒòÐÍ×é³É¼ûÏÂ±í£®ÈôÒ»ABÐÍѪºìÂÌɫäÄÐÐÔºÍÒ»OÐÍѪºìÂÌɫäЯ´øÕßµÄÅ®ÐÔ»éÅ䣬ÏÂÁÐÐðÊöÕýÈ·µÄÊÇ£¨¡¡¡¡£©

ѪÐÍ	A	B	AB	O
»ùÒòÐÍ	IAIA£¬IAi	IBIB£¬IBi	IAIB	ii

• A£® ËûÃÇÉúAÐÍѪɫäÄк¢µÄ¸ÅÂÊΪ$\frac{1}{8}$
• B£® ËûÃÇÉúµÄÅ®¶ùÉ«¾õÓ¦¸ÃÈ«²¿Õý³£
• C£® ËûÃÇAÐÍѪɫä¶ù×ÓºÍAÐÍѪɫ¾õÕý³£Å®ÐÔ»éÅ䣬ÓпÉÄÜÉúOÐÍѪɫäٶù
• D£® ËûÃÇBÐÍѪɫäٶùºÍABÐÍѪɫ¾õÕý³£ÄÐÐÔ»éÅ䣬ÉúBÐÍѪɫäÄк¢µÄ¸ÅÂÊΪ$\frac{1}{4}$

Answer 1

·ÖÎö ABOѪÐ͵ĻùÒòλÓÚ³£È¾É«ÌåÉÏ£¬É«Ã¤»ùÒòλÓÚXȾɫÌåÉÏ£¬Òò´ËÁ½¶ÔµÈλ»ùÒòµÄÒÅ´«×ñÑ­×ÔÓÉ×éºÏ¶¨ÂÉ£»¼ÙÉèɫä»ùÒòÓÃh±íʾ£¬Õý³£»ùÒòÓÃH±íʾ£¬ABÐÍѪºìÂÌɫäÄÐÐԵĻùÒòÐÍÊÇI^AI^BX^hY£¬OÐÍѪºìÂÌɫäЯ´øÕßµÄÅ®ÐԵĻùÒòÐÍÊÇiiX^HX^h£¬¶þÕß»éÅäºó´úµÄ»ùÒòÐÍÊÇI^AiX^HX^h¡¢I^AiX^hX^h¡¢I^AiX^HY¡¢I^AiX^hY¡¢I^BiX^HX^h¡¢I^BiX^hX^h¡¢I^BiX^HY¡¢I^BiX^hY£¬±ÈÀýÊÇ1£º1£º1£º1£º1£º1£º1£º1£®

½â´ð ½â£ºA¡¢ÓÉ·ÖÎö¿ÉÖª£¬¶þÕß»éÅäÉúAÐÍѪɫäÄк¢µÄ¸ÅÂÊΪI^AiX^hY=$\frac{1}{8}$£¬AÕýÈ·£»
B¡¢µ¥¶À·ÖÎöɫ䣬ÄÐÐԵĻùÒòÐÍÊÇ£¬X^hY£¬Å®ÐԵĻùÒòÐÍÊÇX^HX^h£¬ºó´úÅ®¶ùµÄ»ùÒòÐÍÊÇX^HX^h£ºX^hX^h£¬=1£º1£¬Å®¶ùÉ«¾õÕý³£µÄ¸ÅÂÊÊÇ50%£¬B´íÎó£»
C¡¢ÓÉ·ÖÎö¿ÉÖª£¬AÐÍѪɫä¶ù×ӵĻùÒòÐÍÊÇI^AiX^hY£¬AÐÍѪɫäÕý³£Å®ÐԵĻùÒòÐÍ¿ÉÄÜÊÇI^AiX^HX^h¡¢I^AI^AX^HX^h¡¢I^AiX^HX^H¡¢I^AI^AX^HX^H£¬Òò´Ëºó´ú¿ÉÄÜ»á³öÏÖOÐÍѪɫäٶù£¬CÕýÈ·£»
D¡¢BÐÍѪɫäٶùµÄ»ùÒòÐÍÊÇI^BiX^hX^h£¬ABÐÍѪɫ¾õÕý³£ÄÐÐԵĻùÒòÐÍÊÇI^AI^BX^HY£¬¶þÕß»éÅ䣬ºó´úÉúBÐÍѪɫäÄк¢µÄ¸ÅÂÊΪI^BI^BX^hY+I^BiX^hY=$\frac{1}{4}$£¬DÕýÈ·£®
¹ÊÑ¡£ºACD£®

µãÆÀ ±¾ÌâÖ¼ÔÚ¿¼²éѧÉúÀí½â»ùÒò·ÖÀ붨ÂɺÍ×ÔÓÉ×éºÏ¶¨ÂɵÄʵÖÊ£¬Ñ§»áÓ¦Ó÷ÖÀ붨Âɽâ¾ö×ÔÓÉ×éºÏÎÊÌ⣮