甲、乙两人从1,2,…,15中各取一个数,设甲取到的数是5的倍数,求甲数大于乙数的概率.
【正确答案】正确答案:设A 1 ={甲数为5},A 2 ={甲数为10},A 3 ={甲数为15},B={甲数大于乙数}, P(A 1 )=P(A 2 )=P(A 3 )=1/3,P(B|A 1 )=4/14,P(B|A 2 )=9/14,P(B|A 3 )=1, 则P(B)=P(A 1 )P(B|A 1 )+P(A 2 )P(B|A 2 )+P(A 3 )P(B|A 3 )=9/14.
【答案解析】