SOLUTION: Ten-member jury for a criminal case will be selected from a pool of 12 men and 12 women. What is the probability that the jury will have 5 men and 5 women?

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Question 1198005: Ten-member jury for a criminal case will be selected from a pool of 12 men and 12 women. What is the
probability that the jury will have 5 men and 5 women?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Ten-member jury for a criminal case will be selected from a pool of 12 men and 12 women.
What is the probability that the jury will have 5 men and 5 women?
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The total number of different ways to select ten-member jury from 12+12 = 24 persons (candidates) is

     =  = 1961256.


The number of ways to select 5 men from 12 men is   = 792.

The number of ways to select 5 women from 12 women is the same   = 792.


The number of different possible 5men-5women juries is the product  792*792.


The probability under the problem's question is

    P =  =  = 0.319827702 = 0.3198  (rounded).    ANSWER

Solved.



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