1. ## group of people

a group of 8 people is to be chosen from 8 men and 6 women. whats the probability that the group contains the same number of men and women?
i tried
$(8/14)^4 *(6/14)^4$

2. ## Re: group of people

$\dfrac{\dbinom{8}{4}\dbinom{6}{4}}{\dbinom{14}{8} } = \dfrac{50}{143}$

3. ## Re: group of people

Originally Posted by markosheehan
a group of 8 people is to be chosen from 8 men and 6 women. whats the probability that the group contains the same number of men and women?
i tried
$(8/14)^4 *(6/14)^4$
If you look in the back of the book it says the answer is:
$\dfrac{\dbinom{8}{4}\dbinom{6}{4}}{\dbinom{14}{8} }$

Now you must explain that answer.

4. ## Re: group of people

i get it now. its 4 men and 4 women all over the total choices