probability that committee has only one female member

tsh44

Junior Member
Joined
Sep 4, 2005
Messages
67
Hello, I would like some help with this problem:

A school committee is to consist of 3 teachers and 3 parents, who are to be chosen at random from the 24 teachers and 145 parents involved. If half of the teachers and 99 parents are women find the probability that the committee has only female members.

I tried (<sub>12</sub>C<sub>3</sub> <sub>99</sub>C<sub>3</sub>) / (<sub>169</sub>C<sub>6</sub>)

The answer should be 0.034, but I'm not getting that. Thanks
 
You must realize that three have to be teachers and three parents.
\(\displaystyle \L
\frac{{\left( {\begin{array}{c}
{12} \\
3 \\
\end{array}} \right)\left( {\begin{array}{c}
{99} \\
3 \\
\end{array}} \right)}}{{\left( {\begin{array}{c}
{24} \\
3 \\
\end{array}} \right)\left( {\begin{array}{c}
{145} \\
3 \\
\end{array}} \right)}}\).
 
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