Question

有w个白球和b个黑球任你放入两个袋子中,让朋友从一个袋子中摸出一球,如何分配使得朋友摸出黑球概率最大

Answer 1

如果随机选择袋子.

袋子A:x白 y黑 (x0)

max p(黑) = (1/2) [y/z + (A-y)/(B-z)]

(Solution varies with different value of w and b.You need to assume whether w>b or b>w before solving the above maximization problem.)