Question

A card is drawn at random from a standard pack of playing cards. Then a fair coin is flipped. What is the probability of selecting a 9 and the coin landing on heads?

Answer 1

The probability is 1/26

Explanation:

Here, we have two different sample spaces to work with and we want to calculate a compound probability.

Firstly in a deck of cards which contain a total of 52 cards, there are 4 cards labeled 9. Thus the probability of selecting a 9 is 4/52 = 1/13

Secondly in a flip of coin the probability of the coin landing on head is 1/2

Thus the probability of selecting a 9 and the coin landing on head = probability of selecting a nine * probability of the coins landing on head= 1/13 * 1/2 = 1/26