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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 -

D. 2/13
Explanation:
Given a deck of cards.
X be the number of aces obtained.
Hence, X can take value of 0, 1 or 2.
As we know, in a deck of 52 cards, 4 cards are aces. Therefore 48 cards are non- ace cards.

= 6/1326

Hence, the requiredprobability distribution is,

X

0

1

2

P (X)

1128/1326

192/1326

6/1326

Therefore Expectationof X E(X):

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