(adsbygoogle = window.adsbygoogle || []).push({}); Looking for confirmation on probability!

Sorry, posted in wrong forum. It was a probability question which is why I posted it here. Can someone move it to homework section if need be. Thanks!

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Can someone let me know if I am doing this correctly, because the answer I am getting seems to small. I thought the probability would be much higher since the woman out number the men by over 50% and we are just looking for 1.

Question:Suppose that a programming team has 17 women and 15 men. Three people must be chosen to work on a special project. What is the probability that the group selected has at least 1 women in it?

My work:

(17C1) -> To choose 1 women

(15C2) -> To choose 2 men

(32C3) -> Total groups of 3 among all people

(17C1)(15C2)

--------------

32C3

17 * 105

--------

4960

1785

----- =.360

4950

I've seem some examples where they subtract this answer from1which not looks more reasonable, but is it correct and can someone explain why?

ex.. 1 - .360 =.640

Thanks for any input!!

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# Looking for confirmation on probability homework question?

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