Jane Street–styleTrader InternQuantitative Trader InternQuestion #487
You are playing a game with a 6-sided die. You may roll the die once, observe the result, and choose either to stop (keeping the result) or roll again. Your final payoff is the sum of your rolls, unless this sum exceeds 9, in which case you receive nothing. What is your optimal strategy for this game? Specifically, for each possible outcome of the first roll, should you choose to stop or roll again?
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