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You and I each roll a 20-sided die and the higher roll wins $100, rerolling ties. How much would you pay for the option to roll a 30-sided die instead?

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You and I each roll a 20-sided die and whoever rolls higher makes $100; on a tie we both roll again until someone wins. You are offered the option to roll a 30-sided die instead. How much would you pay for that option?

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