write your answer as a simplified fraction.

Question

The names of 3 women and 2 men are written on scraps of paper and placed in a hat.

Two slips of paper are drawn, one at a time, with replacement.

a) What is the probability that both pieces of paper will have a woman’s name on

them?

b) What is the probability that the first piece of paper will have a man’s name on

it and the second will have a woman’s name on it?

Answer 1

a) 3/5 * 2/4 = 6/20 = 3/10

b) 2/5 * 3/4 = 6/20 = 3/10