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You are paid the roll of a 12-sided die, or you may give it up for the sum of two six-sided dice. How much would you pay to play?

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You are paid the dollar value of a die roll. How much would you pay for the option to re-roll once?You roll an 8-sided die and win the amount shown, or you may instead re-roll using a 12-sided die. How much should you pay to play?You roll a fair die and get X, I roll a fair die and get Y, and you are paid max(X - Y, 0). How much would you pay to play?

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