A gambler can roll a fair die up to four times. Before each roll, he must decide whether to roll one more time orstop the game and collect: his payoff is a doubled amount of the last score (e.g., if the last score is 3, he can collect$6). Each roll costs $3. Find the optima
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A gambler can roll a fair die up to four times. Before each roll, he must decide whether to roll one more time orstop the game and collect: his payoff is a doubled amount of the last score (e.g., if the last score is 3, he can collect$6). Each roll costs $3. Find the optimal roll/stop strategy that maximizes his expected gain.
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