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A Senate committee consists of 5 Republicans, 6 Democrats, and 3 Independents. A subcommittee of 3 members is randomly chosen. What is the probability that the subcommittee consists of three Republicans?

 Sep 4, 2021
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Since the subcommitte of 3 members must all be Republican,

the first member must be Republican (a probability of 5/14),

the second member must also be Republican (a probability of 4/13),

and the third member must also be Republican (a probability of 3/12).

 

To find the final probability, multiply these probabilities:  5/14 x 4/13 x 3/12.

 Sep 4, 2021

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