Question

Two cards are drawn from a deck of 52. What is the probability of selecting a face card

then selecting an ace when the first card is not replaced?

Answer 1

The probability of drawing a face card first is

12/52 = 3/13

since there are 4 each of the jacks, queens, and kings.

After removing the first card, the remaining deck has 51 cards, 4 of which are aces. So the probability of drawing an ace as the second card is

4/51

Then the probability of this particular sequence of draws is

3/13 • 4/51 = 4/221 ≈ 0.0181