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guajiro [1.7K]
3 years ago
9

A committee of 4 people is randomly selected from a group of 5 Republicans and 6 Democrats. What is the probability that the com

mittee will be only Democrats?
Mathematics
1 answer:
IgorLugansk [536]3 years ago
4 0
We have 5 Republican Candidates and 6 Democratic Candidates

We have a total 11 candidates to choose from

First pick of Democratic Candidates = 6/11
Second pick of Democratic Candidates = 5/10
Third pick of Democratic Candidates = 4/9
Fourth pick of Democratic Candidates = 3/8

The probability of four Democratic candidates in the committee is
\frac{6}{11}×\frac{5}{10}×\frac{4}{9}×\frac{3}{8} = \frac{360}{7920} = \frac{1}{22}


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