Question

Five cards are drawn without replacement from a regular deck of 52 cards. Give the probability of exactly two aces?

Answer 1

Five cards are drawn without replacement from a regular deck of 52 cards. The probability of drawing two aces can be solve by:

Since there are 4 aces in a deck of 52 cards, in the first draw the probability of drawing an ace is 4/52, the second draw is 3/51. So the probability of drawing two aces is (4/52)( 3/51)= 0.004525.