Question

The names of 11 boys and 9 girls from your class are put into a hat. What is the probability that the first two names chosen will both be girls?

Show work please and Thanks

Answer 1

18/95

Explanation:

There are a total of 20 names, 9 of which are girl names.

The probability that the first name is a girl name is 9/20.

Since there's one less girl name in the hat, there are now a total of 19 names, 8 of which are girl names. So the probability that the second name is a girl name is 8/19.

The total probability is (9/20) (8/19) = 18/95.