Jane StreetTrader InternQuant Trader InternQuestion #298

You repeatedly roll a fair six-sided die. After each roll, you add the result to your cumulative score. At any point, you may choose to stop the game and keep your current score. However, if your total score ever becomes a perfect square, you immediately lose and receive zero points. What is the optimal strategy to maximize your expected score?

Unlock the Full Solution

Enter your email to get the detailed step-by-step solution to this Jane Street interview question, plus access to free interview prep resources.

We'll also send you a free HFT mock interview video.

Get All 664+ Jane Street Questions with Solutions

Plus 16+ hours of video lectures, resume tailoring, and 1:1 mentorship from quants.

Schedule a Call