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Jane Street Interview Question

Jane StreetQuantitative Trader Intern Interview

You have been chosen to play a game involving a 6-sided die. You get to roll the die once, see the result, and then may choose to either stop or roll again. Your payoff is the sum of your rolls, unless this sum is greater than 9, in which case you "bust" and get nothing. What is your strategy for this game? That is, for each possible outcome of the first roll will you choose stop or to roll again?

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