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

1.

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: Option D

Explanation:

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

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