Two cards are drawn at random from a pack of 52 cards. What

Home » Aptitude » Probability » Question

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

1. 1/221
2. 2/13
3. 2/26
4. None of these

Correct Option: A

n(S) = Number of ways of drawing 2 cards out of 52
⁵²C₂ = (52 x 51) / (2 x 1) = 1326
n(E) = Number of ways of drawing 2 cards out of 4
= ⁴C₂ = (4 x 3)/2 = 6
∴ P(E) = 6/1326 = 1/221