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Poker Game (Posted on 2012-09-07) Difficulty: 3 of 5
A game of poker is played where there are 3 players and each player starts with 2 coins. At the beginning of each hand, every player bets 1 coin and the winner of the hand gets his own coin back in addition to all the bets placed by the other players (for example, in the case of 3 players each betting 1 coin, the winner will receive 2 coins in profit). Now assume the winner of a hand is determined at random (e.g. with 3 players the chance of winning is 1/3). Also assume that once a player reaches 0 coins he/she is out. Determine the expected number of hands that will be played in the match.

No Solution Yet Submitted by Chris, PhD    
Rating: 4.0000 (3 votes)

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  Subject Author Date
Some ThoughtsThe Drunkard's walkSteve Herman2012-09-09 10:20:17
simulation verificationCharlie2012-09-07 16:17:46
SolutionsolutionCharlie2012-09-07 12:48:55
SolutionDon't play poker while drunk (spoiler)Steve Herman2012-09-07 12:09:03
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