From a committee of 6 girls and 4 boys, a name is selected. Then another name is selected. What is the probability that both people drawn will be girls?

A. nine over twenty-five
B. two-fifteenths
C. three-fifths
D. one-third
I've tried multiplying fractions but I can't figure out the answer

1 answer

there are 10C2 ways of selecting two people

there are 6C2 ways of selecting two girls

probability of two girls is ... 6C2 / 10C2 = 15 / 45