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Math Help - A fair coin is tossed 10 times

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    A fair coin is tossed 10 times

    A fair coin is tossed 10 times. The total number of heads in the first 5 tosses is
    denoted by X. If the total number of tails is 6 (event A), what is the conditional
    PMF pX|A(x) of X?
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    Quote Originally Posted by sadasoria View Post
    A fair coin is tossed 10 times. The total number of heads in the first 5 tosses is
    denoted by X. If the total number of tails is 6 (event A), what is the conditional
    PMF pX|A(x) of X?
    X= # heads in first 5 tosses.

    A= \{# tails = 6\}

    p_X|A (x) = \frac{p(X=i,A)}{P(A)} =  \frac{{4\choose i}(1-\frac{1}{2})^{4-i-10}(\frac{1}{2})^{4-i}}{{10\choose 6}(1-\frac{1}{2})^4(\frac{1}{2})^6}

    This needs some work....

    Anyone have ideas...?
    Last edited by Anonymous1; April 5th 2010 at 08:30 PM.
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    thannnnnx
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