A committee consists of five men and four women. Two people are selected at random from the committee. What is the probability that one man and one woman will be selected?

Answer 1

9 people
probability of man first = 5/9
then prob of woman = 4/8
so 20/72 for man then woman
then
probability of woman first = 4/9
then prob of man = 5/8
so 20/72 again
add them
40/72 = .55