Question

There are 7 students in a class: 2 boys and 5 girls. If the teacher picks a group of 333 at random, what is the probability that everyone in the group is a girl?

Answer 1

Probability that nbr1 is a boy is p1 = 6/10.

Probability that nbr2 is a boy, given 5 boys left is 5/9

Probability that nbr3 is a boy given 4 boys left is 4/8

Probability that nbr 4 is a boy given 3 boys left is 3/7

Approximately 0.071 or 7.1%