Question

Two cards are drawn at random from a pack of 52 cards. What is the probability that both the cards are red?

1. 1/4
2. 25/102
3. 3/4
4. 23/102
5. 27/102

Answer 1

Correct Answer - Option 2 : 25/102

Given:

Total numbers of cards = 52

Number of cards that are drawn = 2

Calculation:

Total number of cards = 52

Number of ways to choose 2 cards = 52C2 = 1326

Number of red cards (hearts + diamonds) = (13 + 13) = 26

Number of ways to choose 2 red cards = 26C2 = 325

∴ Required probability = 325/1326 = 25/102