Question

Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment. Find the probability that exactly 3 boys will be selected.

Answer 1

Prob of selected students times prob of selecting boys times prob of selecting 3 boys
total students = 15b + 30g = 45 students

1. 10s/45t = 0.22
2. 15b/45t = 0.33
3. 3b/15b = 0.2

0.22×0.33×0.2=0.0148

1.48%

I'm not sure 100%... double check answer please