Question

Two cards are drawn at random from a well shuffled pack of 52 cards. Find the probability that both are red or queens

Answer 1

Answer:

55/221 or 0.24887

Step-by-step explanation:

P(2 red or 2 Queen) = P(2 Red) + P(2 Queen) - P(2 red and 2 queen)

The answer of the 1st two probabilities are given by Partha, but we need to calculate the joint probability.

Note that there is only one option where both queens are red. So,

P(2 red and 2 queen) = 1/52C2 = 1/1326

So required probability is,

P(2 red or 2 Queen) = 26C2/52C2 + 4C2/52C2 - 1/52C2

= 55/221 or 0.24887