SOLUTION: A committee of three people is selected at random from a set consisting of
six teachers,
three parents of students, and
four alumni.
a. What is the probability o
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six teachers,
three parents of students, and
four alumni.
a. What is the probability o
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Question 1162481: A committee of three people is selected at random from a set consisting of
six teachers,
three parents of students, and
four alumni.
a. What is the probability of the event that the committee consists of all teachers?
b. What is the probability of the event that the committee consists of all parents?
c. What is the probability of the event that there will be at least 1 teacher on the committee? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! for 3 teachers, easiest way, if one doesn't like combinatorial notation, is (6/13) for first (5/12) for second and (4/11) for third=120/1716=0.0699
also is (6C3)/(13C3) =20/286=0.0699
for all parents it is (4C3)/(13C3)=4/286=0.0140
At least 1 teacher on committee
do it with 0 teachers on committee and then subtract from 1
(7C3)/(13C3)=35/286=0.1224. looking at a committee of all parents or alumni
so the answer with at least 1 teacher is 1-0.1224 or 0.8776.
