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Math Stats Games Science

A Rock Paper Scissors Brainteaser 167

New submitter arsheive (609065) writes with a link to this interesting RPS brainteaser: "How do you play against an opponent who _must_ throw Rock 50% of the time, and how much would you be willing to pay to play against them?"
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A Rock Paper Scissors Brainteaser

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I've got a bad feeling about this.