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Math Help - one more probability

  1. #1
    Newbie
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    Smile one more probability

    non smoker light smoker heavy smoker total
    men 369 33 45 474
    women 341 34 41 416
    total 737 67 86 890

    2 people are randomly selected from 890 . Find probability that they will both be women??

    Thanks,
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by air2slb View Post
    non smoker light smoker heavy smoker total
    men 369 33 45 474
    women 341 34 41 416
    total 737 67 86 890

    2 people are randomly selected from 890 . Find probability that they will both be women??

    Thanks,
    Probability that the first is a woman is 416/890

    The probability that the second is a woman given that the first is a woman is
    415/889 (that is the number of women left after one has been selected over
    the total left)

    So the required probability is the product of these, that is:

    (416/890)*(415/889)~=0.2182.

    RonL
    Last edited by CaptainBlack; February 3rd 2007 at 01:47 PM.
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