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Probability - General Aptitude

Q1:

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

ANS:D -

1
221

Let S be the sample space.

Then, n(S) = 52C2 = (52 x 51) = 1326.
(2 x 1)
Let E = event of getting 2 kings out of 4.
n(E) = 4C2 = (4 x 3) = 6.
(2 x 1)
P(E) = n(E) = 6 = 1 .
n(S) 1326 221