Question

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

1. 3/17
2. 5/17
3. 1/17
4. 10/17

Answer 1

Correct Answer - Option 3 : 1/17

Given:

Total number of cards = 52

Calculation:

Total number of cards = 52

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

Number of diamonds = 13

Number of ways to choose 2 diamonds = ¹³C₂ = 78

∴ Required probability = 78/1326 = 1/17