Posted by **anonymous** on Tuesday, March 10, 2009 at 12:51am.

A 4-person leadership committee is randomly chosen from a group of 24 candidates. Ten of the candidates are men, and 14 are women.

What is the probability that the committee is all male or all female?

What is the probability that the committe has at least 1 man or at least 1 women?

- algebra -
**drwls**, Tuesday, March 10, 2009 at 4:32am
All male probability: 10/24*9/23*8/22*7/21 = 5040/255,024

= 0.01976

All female probability:

14/24*13/23*12/22*11/21= 24,024/255,024

= 0.09420

prob. of at least one man and one woman:

= 1 - (prob. of zero males) - (prob. of zero females) = 1- 0.01976 - 0.09420

= 0.88604

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