Question

Suppose that two cards are drawn at random from a deck of cards. Let X be the number of aces obtained. Then the value of E(X) is

(A) `37/221`

(B) 5/13

(C) 1/13

(D) 2/13

Answer 1

Let X denote the number of aces obtained. Therefore, X can take any of the values of 0, 1, or 2.

In a deck of 52 cards, 4 cards are aces. Therefore, there are 48 non-ace cards

'

Thus, the probability distribution is as follows.

X	0	1	2
P(X)	1128/1326	192/1326	6/1326

Therefore, the correct answer is D.