Probability of Tenured Faculty on Committee

[trastic]

"The computer systems department has eight faculty, six of whom are tenured. Dr. Vonder, the chairman, wants to establish a committee of three department faculty members to review the cur- riculum. 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.)"

 

[Prove It]

"The computer systems department has eight faculty, six of whom are tenured. Dr. Vonder, the chairman, wants to establish a committee of three department faculty members to review the cur- riculum. 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.)"

Since in each trial (picking a faculty member) all they are checking is whether or not the member has tenure (i.e. 2 possibilities - success or fail) this is a Binomial Distribution...