From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings ?

A. 1/15

B. 25/57

C. 35/256

D. 1/221

Answer : D. 1/221…

Explanation:

Let S be the sample space.
Then, n(S) = 52C2 = (52 x 51) / (2 x 1) = 1326.
Let E = Event of getting 2 kings out of 4.
n(E) = 4C2 = 6.
P(E) = n(E) / n(S)
= 6/1326
= 1/221 .

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