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What is the expected number of times that you play prior

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Question: An urn contains nine white balls and 11 black balls. A ball is drawn and replaced. If the ball is white your opponent pays you 25 cents. If it is black you pay him 25 cents. You have one dollar and your opponent has 50 cents. Play continues until one of you is broke. What is the probability that you lose all your money? What is the expected number of times that you play prior to the game ending? What is the answer to these two questions if both you and your opponent started with 75 cents?

Reference no: EM13576893

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