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There are 14 female board members and 13 male board members. If a committee of 9 members is randomly chosen, what is the probability that the committee has exactly 4 females?

 Apr 20, 2021

Best Answer 

 #1
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There are 14 choose 4 = 1001 times 13 choose 5 = 1287 = 1288287 possible ways for the committee to have 4 females and 5 males, and there are 27 choose 9 = 4686825 possible ways in total, so there are 1288287/4686825 ≈ $\boxed{0.27487}$

 Apr 20, 2021
 #1
avatar+496 
+2
Best Answer

There are 14 choose 4 = 1001 times 13 choose 5 = 1287 = 1288287 possible ways for the committee to have 4 females and 5 males, and there are 27 choose 9 = 4686825 possible ways in total, so there are 1288287/4686825 ≈ $\boxed{0.27487}$

SparklingWater2 Apr 20, 2021

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