Question

Find the probability of drawing two hearts in a row from a standard deck of cards when the drawn card is NOT returned to the deck each time.

Answer 1

Answer:

The first probability is simple: there are 13 hearts in a deck of 52 cards. The probability is 13/52=1/4.

The second probability is trickier: there are now 12 hearts left in a deck of 51 cards! The probability of getting another hearts is therefore 12/51=4/17.

Now compute (1/4)*(4/17) and get 1/17, which is the probability of drawing two hearts from a deck of fifty-two playing cards.