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Math Help - Dice problem

  1. #1
    Junior Member
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    Jan 2010
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    Dice problem

    A dice is repeatedly rolled.
    Suppose
    X= number of rolls necessary to obtain a 6
    Y= number of rolls to get a 5

    How do you find E[X\mid Y=1]
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  2. #2
    MHF Contributor matheagle's Avatar
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    You need to figure out the discrete distribution of P(X=x\mid Y=1) for x=2,3,4,5,6.....

    Then E[X\mid Y=1]=\sum_{x=2}^{\infty} x P(X=x\mid Y=1)
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