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You are playing a game, in which you roll a fair, 6-sided die. If you roll , you get dollars. How much would you pay for this game? Pretend that you can reroll if you’re not satisfied with the first roll, but that you must accept the result of the second roll. Now how much would you pay for this game? What if you can reroll up to two times? How much would you pay?
avatar

Quant Trader Intern

Interviewed at Jane Street

4.4★
Sep 16, 2022

You are playing a game, in which you roll a fair, 6-sided die. If you roll , you get dollars. How much would you pay for this game? Pretend that you can reroll if you’re not satisfied with the first roll, but that you must accept the result of the second roll. Now how much would you pay for this game? What if you can reroll up to two times? How much would you pay?

Problem from first interview: you repeatedly roll a fair 6 sided dice. every roll you add the result to your score. At any time you may end the game and keep your score, however if your total score ever becomes a perfect square you lose with 0 points. How should you play?
avatar

Quant Trader Intern

Interviewed at Jane Street

4.4★
Jan 19, 2024

Problem from first interview: you repeatedly roll a fair 6 sided dice. every roll you add the result to your score. At any time you may end the game and keep your score, however if your total score ever becomes a perfect square you lose with 0 points. How should you play?

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