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Math-man, where are you!

  • 19-01-2011 6:56am
    #1
    Closed Accounts Posts: 153 ✭✭


    or Math woman as the case may be. :)

    So, here is something I would like to know the probability of, but since I can hardly count to 20 (and only if I use my toes), I was hoping one of you geniuses could help me. :)
    Adam and Bob each flip a coin.

    If the result is T/T, each player gets 1 point and they flip again.

    If the result is T/H, Adam gets 1 point, Bob does not and they flip again.

    If the result is H/T, Adam does not get a point, Bob gets 1 point and they flip again.

    If the result is H/H, neither player gets a point and the game ends.

    When a player has 20 points, the game ends.

    What is the probability of either Adam getting 20 points before Bob (or the game ends), Bob getting 20 points before Bob (or the game ends) or them both getting 20 Points at the same time?

    Yes, it is madness, but I thank you in advance! :pac:

    Extra Credit:
    Assume Adam is allowed to flip two coins and choose the result, choosing a Heads if Bob Gets a Tails and a Tails if he gets a Heads.


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