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In a class of 12 boys and 8 girls, a committee of three should be formed. What is the probability that there are at least two girls on the committee?

 Jul 17, 2019
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The total possible committees = C(20,3)

 

The probability  is  P(2 girls) + P(3 girls)  =

 

[ C(8,2)* C(12,1)  + C(8,3)] / C(20,3)  =

 

[336 + 56 ] / 1140 =

 

392 / 1140  =  98/285 ≈ .349  ≈ 34.9%

 

 

cool cool cool

 Jul 17, 2019

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