<PRE><B>Question 209866</B>
A committee of three is selected at random from a set consisting of five Democrats, eight Republicans,and two Independents.
(a) What is the probability that the committee consists of all Democrats?
# of ways to select 3 Democrats: 5C3 = 10
# of ways to pick 3 from the group: 15C3 = 455
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P(pick 3 Demoncrats) = 10/455
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(b) What is the probability that the committee consists of no Republicans?
# of ways to pick no Republicans: 7C3
# of ways to pick 3 from the group: 15C3
P(pick 3 that are not Republicans) = 7C3/15C3 = 35/455
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Cheers,
Stan H.</PRE>