Two cards are drawn without replacement from a shuffled deck of 52 cards. What is the probability that the first card is a black ace and the second card is a red ace?

Question

Select one:
a. 1/1300
b. 1/663
c. 1/2704

Answer 1

here's only one ace of clubs. Since the ace of clubs is black and there are 26 black cards, that leaves 25 black cards remaining for the second draw. So the probability that the first card is an ace of clubs and the second is black is:

1/52 x 25/51

Answer 2

there are two black aces and 2 red aces. So
P = 2/52 * 2/51 = 1/663