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Thread: Probability and independence

  1. #1
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    Probability and independence

    Let $\displaystyle Q_n$ denote the probability that in $\displaystyle n$ toss no heads comes up 3 times in a row. How do we show the probability of this happening?
    Last edited by Scopur; Oct 16th 2008 at 12:06 PM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Scopur View Post
    Let $\displaystyle Q_n$ denote the probability that in$\displaystyle n$ toss
    and the question is..

    CB
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    Anyone ?
    $\displaystyle Q_0 = Q_1 = Q_2 = 0$
    $\displaystyle Q_3 = 7/8 $ because the only possible outcome of 3 heads is $\displaystyle \{ H H H \} $Then i dont know how to do for Q_4

    logically i thought it would be $\displaystyle 14/16 = 7/8 $ But what am i missing? i thought the only possibilities would be $\displaystyle \{ THHH, HHHT \}$
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