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 1/221

C  25/57

D 35/256

Solution

Correct Answer: Option B

Let S be the sample space

Then, n(S) = \(52C_2\) = 1326.

Let E = event of getting 2 kings out of 4.

 

n(E)  = \(\frac{52\times51}{2\times1}\) = 6

\(4C_2\) = \(\frac{4\times3}{2\times1}\)

\(P(E)=\frac{n(E)}{n(S)}=\frac6{1326}=\frac1{221}\)

 

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