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A Senate committee consists of 5 Republicans, 6 Democrats, and 2 Independents. A subcommittee of 3 members is randomly chosen. What is the probability that the subcommittee consists of three Republicans?

 Nov 7, 2019
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The total number  of subcommittees of three members that can be formed  is  C(13,3)  =  286

 

The total number of subcommittees  consisting of three Republicans  is  C(5, 3)   = 10

 

So....the probability  is

 

10  / 286   =       5  / 143

 

 

 

cool cool cool

 Nov 7, 2019

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