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You roll two dice and receive their sum, unless both show the same number, in which case you receive nothing. What is the game worth?

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I roll a die up to three times. After each roll you may stop and take the number showing as your payoff. What is your strategy and what is the game worth?You roll a die twice and are paid the higher of the two numbers if they differ, nothing if they match. What is the expected payout?Roll two dice: if they differ you win the higher roll in dollars, and if they match you lose their sum. What is your expected payoff?

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