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A city council consists of six Democrats and eight Republicans. If a committee of four people is​ selected, find the probability of selecting two Democrats and two Republicans.

 Mar 29, 2016

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 #1
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this is a common question.. here is a link to an explanation

Yahoo

 Mar 29, 2016
edited by Landry  Mar 29, 2016
 #2
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 Mar 29, 2016
edited by Guest  Mar 29, 2016
 #3
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The probability is given by :

 

[ The number of was to choose 2 Dems. out of  6 ] * [ The number of ways to choose 2 Reps. out of 8] / [ The number of ways of choosing 4 people out of 14]

 

So we have  :

 

C(6, 2) * C(8,2)  / C(14, 4)   = 

 

[15 *28 ] / 1001 =

 

60 / 143    about  41.9%

 

 

cool cool cool

 Mar 30, 2016

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