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

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) = ^{52}C_{2} = (52 x 51) / (2 x 1) = 1326.

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

n(E) = ^{4}C_{2} = 6.

P(E) = n(E) / n(S)

= 6/1326

= 1/221 .