Question 200787: The computer systems department has eight faculties, six of whom are tenured. Dr Vonder, the chairman, 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 committe are tenured
b) What is the probability that at least one member is not tenured? (Use the compliment rule)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 27): The computer systems department has eight faculties, six of whom are tenured. Dr Vonder, the chairman, 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 committe are tenured
[6C3]/[8C3]= 20/56 = 0.3571
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b) What is the probability that at least one member is not tenured? (Use the compliment rule)
P(at least one not tenured) = 1 - P(none not tenured)
= 1 - P(all tenured)
= 1 - 0.3571
= 0.6429
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Cheers,
Stan H.
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