Jane Street–styleTrader InternQuant Trader InternQuestion #302

Suppose you are playing a dice game with a six-sided die. You may roll the die as many times as you like, and after each roll, you may choose to stop and take the sum of the numbers rolled as your score. However, if you roll a 6 at any time, you must stop and your total score becomes 0. What is the optimal strategy to maximize your expected score?

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