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Math Help - Probability question

  1. #1
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    Probability question

    The following was confusing me so any help would be greatly appreciated!

    A gambling book recommends the following strategy for the game of roulette. It recommends that a gambler bet 1 euro on red. If red appears (with probability 18/38), then the gambler should take his or her profit and quit the game. If the gambler loses his or her bet (which has probability 20/38 of happening), he should make additional 1 euro bets on red on each of the next two spins of the roulette wheel and then quit. Let X denote the gambler's winnings when he quits.

    Compute the expectation of X.
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  2. #2
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    Jan 2007
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    Go see the section on las vagas math. There is a whole thread on that topic.
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