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 
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.