SOLUTION: A committee of three is selected at random from a set consisting of five Democrats, eight Republicans, and two Independents What is the probability that the committee consists o

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Question 213457: A committee of three is selected at random from a set consisting of five Democrats, eight Republicans, and two Independents
What is the probability that the committee consists of all Democrats?
What is the probability that the committee consists of no Republicans

Answer by stanbon(75887) About Me  (Show Source):
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A committee of three is selected at random from a set consisting of five Democrats, eight Republicans, and two Independents
What is the probability that the committee consists of all Democrats?
Ans: 5C3/15C3 = 10/455
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What is the probability that the committee consists of no Republicans
Ans: 7C3/15C3 = 35/455
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Cheers,
Stan H.