A card is chosen at random from a deck of 52 cards. It is replaced and a second card is chosen.

Question

What is the probability both cards will be an ace?

Answer 1

There are 4 Aces, one for each suite in a deck of cards. If you draw a card, the probability of getting one of those Aces is 4/52. Since the card is then "replaced" (put back in the deck) the chance of drawing an Ace on the second draw is also 4/52. Multiply to get the probability of both draws.

 

(4/52)*(4/52) = 16/2704 = 0.0059 ~ 0.6%