SOLUTION: Three hundred people apply for three jobs. 135 of the applicants are women. If three people from the group are randomly selected, find the probability that: There are two women an

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Question 913395: Three hundred people apply for three jobs. 135 of the applicants are women. If three people from the group are randomly selected, find the probability that:
There are two women and one man and the probability that there are more men than women.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Three hundred people apply for three jobs. 135 of the applicants are women. If three people from the group are randomly selected,
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find the probability that:
There are two women and one man
# of ways to succeed:: 135C2 * 165C1
# of possible groups of 3:: 300C3
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Ans:: P(2 woman and 1 man) = [135C2*165]/300C3
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and the probability that there are more men than women.
P(2men & 1woman OR 3men) = [165C2*135 + 165C3]/300C3
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Cheers,
Stan H.