Question 199457: The computer systems department has eight faculty, six of whom are tenured. Dr Vonder, the cahirman, wants to establish a committee of three department faculty members to review the curriculum. If she selects the committe 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! The computer systems department has eight faculty, six of whom are tenured. Dr Vonder, the cahirman, wants to establish a committee of three department faculty members to review the curriculum. If she selects the committe at random:
a) What is the probability all members of the committe are tenured
Ans: 6C3/8C3 = 20/56 = 5/14
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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) = 1 - P(no member is tenured)
= 1 - P(all three members selected are non-tenured)
But there are are not three non-tenured to choose from
; so the probability is zero.
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Cheers,
Stan H.
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