(1)3个球颜色全不相同,则乙只有取黄球一种,是1/4,
那么甲必须取红白各一才能胜,即(x/4)(y/3)+(y/4)(x/3)最大.
根据三角不等式,xy必然相等,x=y=2.
(2)一个红,甲红白乙黄白,甲双白乙红:
(2/4)*(2/3)*(2/4)+(2/4)*(2/3)*(2/4)+(2/4)*(2/4)=7/12
两个红,甲双红乙黄白,甲红白乙红:
(2/4)*(1/3)*(2/4)+(2/4)*(2/3)*(2/4)=1/4
三个红,甲双红乙红:(2/4)*(2/4)=1/4
期望为 1*7/12+2*1/4+3*1/4=11/6