Question

Two cards are selected from a standard deck of 52 playing cards. The first is replaced before the second card is selected. Find the probability of selecting a heart and then selecting a nine. The probability of selecting a heart and then selecting a nine is ____.

Answer 1

2 cards selected from a standard 52 card deck

P(1st card is a heart) = 13/52....because there are 13 hearts in a deck of cards
the card is replaced
P(2nd card is a 9) = 4/52 which reduces to 1/13

so the probability of both events happening is : 13/52 * 1/13 = 1/52 <=