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?

Algebra.Com
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?
~~~~~~~~~~~~~~~~

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.



RELATED QUESTIONS

A jury pool has 25 men and 15 women, from which 12 jurors will be selected. Assuming that (answered by greenestamps)
A jury pool consists of 15 women and 14 men. What is the probability that the jury... (answered by Boreal)
A jury of 10 people is to be selected from an available pool of 10 women and 8 men. What... (answered by oscargut)
A jury pool consists of 30 people, 17 men and 13 women. Compute the probability that a... (answered by ikleyn)
A jury pool consists of 27 people, 18 men and 9 women. Compute the probability that a... (answered by ikleyn)
A jury pool consists of 31 people, 17 men and 14 women. Compute the probability that a... (answered by ikleyn)
A jury pool consists of 35 people, 18 men and 17 women. Compute the probability that a... (answered by Edwin McCravy)
A jury pool consists of 33 people, 15 men and 18 women. Compute the probability that a... (answered by ikleyn)
What is the expected number of women on a six-member jury randomly chosen from 12 women... (answered by MathLover1)