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Math Help - Cointoss Problem

  1. #1
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    Coin Flipping Problem

    The game: You have n dollars and a fair coin. The coin is tossed m times. When it comes up heads you lose one dollar, when tails you win one dollar.

    My question: How do we calculate the probability that you will lose your money within some given number of flips?

    (Edit: I made the payoffs equal in size to simplify a little: -1 for losing and +1 for winning)
    Last edited by TwoPlusTwo; April 7th 2012 at 01:43 PM.
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  2. #2
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    Re: Cointoss Problem

    I thought about this some more and realized that within a given number of flips there will be a finite number of ways to drop from n dollars to zero. So I guess all I need to do is sum the probabilities of all those different ways. Not quite sure how to do that though...
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