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Jane Street Quant Interview Questions: What to Expect

Quantitative finance interviews, especially at top firms like Jane Street, are renowned for their challenging and thought-provoking puzzles. These questions are not just about testing mathematical prowess but also creativity, logical thinking, and the ability to break down complex problems. In this article, we’ll deeply explore two such classic quant interview questions. We’ll break down each step, clarify the underlying concepts, and explain why these questions are favorites among quantitative trading firms.

Suppose you have a perfectly round disk. You attach three legs to this disk, placing each leg at a random point along the circumference. The legs are perfectly perpendicular to the disk and are attached firmly. If you flip the disk and let it stand on its legs, what is the probability that the table will be stable (i.e., will not fall over)? In other words, what is the probability that when you set the table down on the three legs, it will stand upright without tipping?

This is a classic geometric probability problem. Let's understand each part: