Optimal Stopping with Square-Number Ruin

Quick Overview

You repeatedly roll a fair six-sided die and add each roll to a running total. Explain the assumptions and derivation clearly, check edge cases, and show how the result changes when those assumptions no longer hold.

Optimal Stopping with Square-Number Ruin

Company: Jane Street

Role: Software Engineer

Category: Statistics & Math

Difficulty: hard

Interview Round: Technical Screen

Overview: You repeatedly roll a fair six-sided die and add each roll to a running total. Explain the assumptions and derivation clearly, check edge cases, and show how the result changes when those assumptions no longer hold.

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Jane Street
Aug 3, 2026
hardSoftware EngineerTechnical ScreenStatistics & Math
109
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