A. Suppose you are offered the opportunity to roll a six-sided die, whose faces are 1, 2, 3, 4, 5, and 6. You have no reason to believe one face is any more likely that another. After the roll, you will be paid $1 times

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Suppose you are offered the opportunity to roll a six-sided die, whose faces are 1, 2, 3, 4, 5, and 6. You have no reason to believe one face is any more likely that another. After the roll, you will be paid $1 times and you have the option to throw a die up to three times. You will earn the face value of the die. You have the option to stop after each throw and walk away with the money earned. The earnings are not additive. What is the expected payoff of this game?

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