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Urn Probability with Sequential Draws: Jane Street Interview Guide

In this article, we'll break down the "Urn Probability with Sequential Draws" problem asked in a Jane Street interview, solve it step by step, and explain the underlying concepts that are crucial for acing such interviews.

Suppose you are presented with the following scenario during a Jane Street Quantitative Researcher interview:

Before we attempt the solution, let's review the core probability concepts at play: