Question

2£®ÈçͼΪijµ¥»ùÒòÒÅ´«²¡µÄϵÆ×ͼ£¬ÈËȺÖд˲¡µÄ»¼²¡¸ÅÂÊԼΪ $\frac{1}{10000}$£®ÏÂÁзÖÎöÕýÈ·µÄÊÇ£¨¡¡¡¡£©

• A£® ´Ë²¡¿ÉÄÜÊÇ°éXÏÔÐÔÒÅ´«²¡
• B£® Èô¢ñ-1ºÍ¢ñ-2¾ùЯ´øÖ²¡»ùÒò£¬Ôò¢ò-2 ÊÇЯ´øÕߵĸÅÂÊΪ$\frac{1}{2}$
• C£® Èô¢ñ-1ºÍ¢ñ-2µÄºó´ú»¼²¡¸ÅÂÊΪ$\frac{1}{4}$£¬Ôò´Ë²¡Îª³£È¾É«ÌåÒþÐÔÒÅ´«²¡
• D£® Èô¢ò-2Я´øÖ²¡»ùÒò£¬Ôò¢ò-3Óë¸ÃµØÇøÎÞÇ×Ôµ¹ØϵµÄÕý³£ÄÐ×Ó»éÅ䣬×ÓÅ®»¼²¡¸ÅÂÊΪ $\frac{1}{303}$

Answer 1

·ÖÎö ¸ù¾ÝÌâÒâºÍͼʾ·ÖÎö¿ÉÖª£º¢ñ-1ºÍ¢ñ-2±íÏÖÕý³££¬ËùÉú¢ò-1»¼²¡£¬ËµÃ÷´Ë²¡ÎªÒþÐÔÒÅ´«²¡£¬Ö²¡»ùÒò¿ÉÄÜÔÚ³£È¾É«ÌåÉÏ£¬Ò²¿ÉÄÜÔÚXȾɫÌåÉÏ£®

½â´ð ½â£ºA¡¢¾Ý·ÖÎö¿ÉÖª£¬´Ë²¡²»¿ÉÄÜÊÇ°éXÏÔÐÔÒÅ´«²¡£¬A´íÎó£»
B¡¢Èô¢ñ-1ºÍ¢ñ-2¾ùЯ´øÖ²¡»ùÒò£¬Ôò´Ë²¡Îª³£È¾É«ÌåÒþÐÔÒÅ´«²¡£¬ÇÒ¢ñ-1ºÍ¢ñ-2¾ùΪÔÓºÏ×Ó£¬¹Ê¢ò-2ÊÇЯ´øÕߵĸÅÂÊΪ$\frac{2}{3}$£¬B´íÎó£»
C¡¢Èô´Ë²¡Îª³£È¾É«ÌåÒþÐÔÒÅ´«²¡£¬¢ñ-1ºÍ¢ñ-2µÄºó´ú»¼²¡¸ÅÂÊΪ$\frac{1}{4}$£»Èô´Ë²¡ÎªXȾɫÌåÒþÐÔÒÅ´«²¡£¬ÉèÖ²¡»ùÒòΪa£¬¢ò-1ΪX^aY£¬Ôò¢ñ-1ΪX^AY£¬¢ñ-2ΪX^AX^a£¬Òò´Ë¢ñ-1ºÍ¢ñ-2µÄºó´ú»¼²¡¸ÅÂÊҲΪ$\frac{1}{4}$£¬C´íÎó£»
D¡¢Èô¢ò-2Я´øÖ²¡»ùÒò£¬Ôò´Ë²¡Îª³£È¾É«ÌåÒþÐÔÒÅ´«²¡£¬¢ò-3ÊÇЯ´øÕߵĸÅÂÊΪ$\frac{2}{3}$£®ÉèÖ²¡»ùÒòΪa£¬ÈËȺÖд˲¡µÄ»¼²¡aa¸ÅÂÊԼΪ$\frac{1}{10000}$£¬a=$\frac{1}{100}$£¬A=$\frac{99}{100}$£¬ÔòAa=2¡Á$\frac{1}{100}$¡Á$\frac{99}{100}$£¬AA=$\frac{99}{100}$¡Á$\frac{99}{100}$£¬Õý³£ÄÐ×ÓÊÇЯ´øÕߵĸÅÂÊÊÇ$\frac{2}{101}$£®¢ò-3Óë¸ÃµØÇøÎÞÇ×Ôµ¹ØϵµÄÕý³£ÄÐ×Ó»éÅ䣬×ÓÅ®»¼²¡aa¸ÅÂÊΪ$\frac{1}{4}$¡Á$\frac{2}{3}$¡Á$\frac{2}{101}$=$\frac{1}{303}$£¬DÕýÈ·£®
¹ÊÑ¡£ºD£®

µãÆÀ ±¾Ìâ½áºÏϵÆ×ͼ£¬¿¼²é³£¼ûµÄÈËÀàÒÅ´«²¡£¬ÒªÇó¿¼Éúʶ¼Ç¼¸ÖÖ³£¼ûÈËÀàÒÅ´«²¡µÄÀàÐͼ°Ìص㣬Äܸù¾ÝϵÆ×ͼÍƶϸÃÒÅ´«²¡µÄÒÅ´«·½Ê½¼°ÏàÓ¦¸öÌåµÄ»ùÒòÐÍ£¬ÔÙ½øÐÐÏà¹Ø¸ÅÂʵļÆË㣬ÊôÓÚ¿¼¸ÙÀí½âºÍÓ¦Óòã´ÎµÄ¿¼²é£®