Question

Two cards are drawn at random.what is the probability that both are spade

Answer 1

Consider you are drawing two cards at random from the pack of 52 cards.

What is the probability that both were spade?

The correct answer is 1/221.

Let s be the sample space.

Then n(s) = 52 C2 = (52x51)/(2x1) = 1326.

Let E be the event of getting 2 spades out of it.

n(E) = 4C2 =(4X3)/(2X1) = 6.

P(E) = N(E)/N(S) = 6/1326 = 1/221.