2. The Computer Systems Department has eight faculty, six of whom are tenured. Dr. Vonder, the chair, wants to establish a committee of three department faculty members to review the curriculum. If she selects the committee at random:

Question

2.	The Computer Systems Department has eight faculty, six of whom are tenured.  Dr. Vonder, the chair, wants to establish a committee of three department faculty members to review the curriculum.  If she selects the committee at random:
		a.	What is the probability all members of the committee are tenured?
b.	What is the probability that at least one member is not tenured?  (Hint:  For this question, use the complement rule.)

PsyDAG · Answer

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

a. Without replacement: 6/8 * 5/7 * 4/6 = ?

b. You want probability of one or both being chosen. Either-or probabilities are found by adding the individual probabilities.

P(one) = 2/8 * 6/7 * 5/6 = ?

P (two) = 2/8 * 1/7 * 6/6 = ?