The Business department has eight faculty members, six of whom are tenured. Smith, the chairman, wants to establish a committee of three department...

The Business department has eight faculty members, six of whom are tenured. Dr. Smith, the chairman, wants to establish a committee of three department faculty members to review the curriculum. If he selects the committee at random:

a)   What is the probability all members of the committee are tenured? (Round the final answer to 4 decimal places.)

b)   What is the probability that at least one member is not tenured? (Hint: For this question, use the complement rule.) (Round the final answer to 4 decimal places.)