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Paper On, Dude!

Math brain teasers require computations to solve.


Puzzle ID:#30969
Fun:*** (2.31)
Difficulty:*** (2.88)
Submitted By:norcekrius****
Corrected By:bigSWAFF_69_




The All-Portland Rock-Scissors-Paper League follows the canonical rules: at a given signal, both contestants reveal their choices. Rock beats scissors, scissors beats paper, and paper beats rock. However, for tournament play, the stakes are altered. Losers pay winners 3 chips if the latter wins with "rock", 2 points with "scissors", and 1 point with "paper". Each minute, everyone must find a new opponent, play one "throw", pay off, and get ready for the next switch.
The players with the most chips at the end of the evening get the big prizes: first place is a bag of Portland cement, second is a hedge trimmer, and third place is a choice of stationery. Also, any chips you've won are redeemable for drinks at the bar.

Knowing nothing about the other players' preference, mind games, etc., what's your best strategy (mixture of rock, paper, and scissors) for maintaining your balance of chips throughout the evening?

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