Question

When being dealt two cards from a standard deck of fifty-two playing cards, find the probability that both cards are an ace.

Answer 1

We have:

Total number of cards in a pack = 52

Total number of aces in a pack = 4

The probability of drawing an ace is:

`P(one\text{ }ace)=(4)/(52)`

The probability that both are aces is:

`P(both\text{ aces\rparen=}(4)/(52)\cdot(3)/(51)=(4\cdot3)/(52\cdot51)=(12)/(2652)=(1)/(221)`

Answer: the probability is 1/221