Answer:
a)
b)
Explanation:
We are given that a committee of three people is selected at random from a set of eight teachers, seven parents of students, and five alumni.
We are to find:
a) the probability the committee consists of all teachers is:
Number of ways to select three that are all teachers =
Number of ways to select three randomly =
P (3 all teachers) =
=
b) the probability the committee has no teachers is:
Number of ways to select three that it has no teachers =
Number of ways to select three randomly =
P (no teachers) =
=