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Math Help - probability mass function

  1. #1
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    probability mass function

    In LOTTO 49, Michigan's lottery game, a player selects 6 integers out of the 49 positive integers. The state randomly selects 6 out of the first 49 integers. Cash prizes are given to a player who matches 4, 5 , or 6 integers. Let X equal the number of integers selected by a player that matches integers selected by the state.


    Need help stating the p.m.f.

    Don't know why but I just don't undertstand how to do this.
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  2. #2
    MHF Contributor matheagle's Avatar
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    This seems to be a straight foward hypergeometric dist.
    I assume we cannot pick a number twice, i.e., we are sampling without replacement.
    If you replace the balls it's binomial.
    In this case it's
    P(X=x)= (6 choose x) (43 choose 6-x)/(49 choose 6)
    x=0,1,2,...,6
    You just want 4,5 and 6.
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