SOLUTION: A committee of three people is selected at random from as set of five teachers, 8 parents, and 4 alumni. What is the probability of the event that the committee consists of all tea
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Question 1154668: A committee of three people is selected at random from as set of five teachers, 8 parents, and 4 alumni. What is the probability of the event that the committee consists of all teachers? Of all parents,or of 1 parent? Looking for 3 answers
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!
The denominator of the probability fraction in all three cases is the total number of ways of choosing 3 of the 17 people -- 17C3, or C(17/3).
(a) choosing 3 teachers (and 0 parents, and 0 alumni):
(b) choosing 3 parents and 0 teachers, and 0 alumni):
(c) choosing 1 parent (and 2 of the teachers or alumni):
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