[問題] 兩題機率問題
我有兩題機率的問題，想請問板上的強者!
1. A deck of 52 playing cards, containing all 4 aces, is randomly divided
into 4 piles of 13 cards each. Define events E1, E2, E3, and E4 as follows:
E1 = {the first pile has exactly 1 ace}
E2 = {the second pile has exactly 1 ace}
E3 = {the third pile has exactly 1 ace}
E4 = {the fourth pile has exactly 1 ace}
find P(E1E2E3E4), the probability that each pile has an ace.
2. Suppose in Exercise 26 we had defined the events Ei, i=1,2,3,4, by
E1 = {one of the pile contains the ace of spades}
E2 = {the ace of spades and the ace of hearts are in different piles}
E3 = {the ace of spades, the ace of hearts, and the ace of diamonds
are in different piles}
E4 = {all 4 aces are in different piles}
find P(E1E2E3E4), the probability that each pile has an ace.
註：
1.P(E1E2E3E4)代表各事件的交集
2.我是有嘗試作出答案，但不確定對不對。所以想請板上強者為我解答!
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