From a standard deck of cards, what is the probability that you draw a red card, replace it and then draw a heart?

Question

Answer choices

A) 1/8

B) 3/8

C) 3/4

D) 2

 

Answer 1

The answer is A.  The probability that you draw a red card is 26/52 or 1/2, since half the cards in the deck are red.

 

Since you replace the card, the probabiity that you draw a heart is 13/52 or 1/4, since a quarter of the cards are hearts.

 

Since you want to know the probability of BOTH events happening, you multiply the two.

 

One half times one fourth is 1/8, or A.