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Math Help - Probability question

  1. #1
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    Probability question

    I am having a tough time trying to solve problems like the following:

    Player R has $2 and player S has $4. Each play gives $2 from one player to the other. Player R is better than player S and wins 2/3 of the time. Play continues until one is bankrupt. What is the chance player R wins?

    Any hints to solving this problem will be greatly appreciated?
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  2. #2
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    Quote Originally Posted by mathwiz2006 View Post
    I am having a tough time trying to solve problems like the following:

    Player R has $2 and player S has $4. Each play gives $2 from one player to the other. Player R is better than player S and wins 2/3 of the time. Play continues until one is bankrupt. What is the chance player R wins?

    Any hints to solving this problem will be greatly appreciated?
    Hi,

    This is a classic problem in probability called the "Gambler's Ruin". You can find it discussed here:

    Gambler's ruin - Wikipedia, the free encyclopedia

    See the section titled "Unfair Coin Flipping". If you still have questions after reading Wikipedia, post back and let us know where you are having trouble.
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