AP STATS PROBABILITY

Question

There are 9 students in a class: 5 boys and 4 girls. If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy?

Answer 1

(5/9)*(4/8)*(3/7)*(2/6)

The probability of the first student selected is a boy has a probability of 5/9, # of boys/total, assuming a boy is selected that leaves 4 boys to pick and 8 total students. If probability of the second student selected being a boy, using the # of boys/# of students formula, is 4/8. Repeat the process until 4 students are selected, giving (5/9)*(4/8)*(3/7)*(2/6)