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Question

From a standard deck of 52 cards two cards are drawn at random without replacement. What is the probability of getting both Ace?

A
(117)2
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B
(113)2
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C
1221
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D
None of the above
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Solution

The correct option is C 1221
Given, two cards are drawn from deck having 52 cards without replacement.
Also, their are 4 Aces in a deck.

Let A and B be two events of drawing first Ace card and second Ace card respectively.
Probability of choosing first Ace card is P(A)=452=113
Probability of choosing second Ace card is P(B)=351=117

We have to calculate the probability of getting both ace card which is equal to P(E).
P(E)=P(A)×P(B)
P(E)=113×117=1221.

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