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women

by ricky » Tue Aug 05, 2008 12:02 pm
A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?
1/14
1/7
2/7
3/7
1/2
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by parallel_chase » Tue Aug 05, 2008 12:29 pm
No. of combinations 2 women are selected out of 5 = 5C2=10
No. of combinations 2 men are selected out of 3=3C2=3
No. of combinations 4 employees are selected out of 8 =8C4 =70

5C2 * 3C2 / 8C4 = 10*3/70 =3/7

Thanks pepeprepa for spotting the error, yet again :)
Last edited by parallel_chase on Tue Aug 05, 2008 3:28 pm, edited 1 time in total.
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by pepeprepa » Tue Aug 05, 2008 3:17 pm
It is late for me but I would say 3/7
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