Tower Research Capital Probability & Brain-Teasers Interview

The Tower Research Capital Probability & Brain-Teasers interview is stage 3 of 6 in the Tower Research Capital interview process, after the Recruiter / Team Matching. Format: 45-60 min - video. The core quant screen: probability, expectation, and brain-teasers under time pressure, with follow-ups.

What the Probability & Brain-Teasers tests

Order statistics, random walks, and Markov chains are common.

QuantVault maps 18 practice problems to this round. By topic, the biggest groups are expectation (7), probability (7), combinatorics (1), optimization (1); by difficulty, 5 easy, 10 medium and 3 hard. 9 of them were reported by candidates who interviewed at Tower Research Capital, most recently in Jun 2026.

• Phone screens run about an hour with a working researcher or engineer: probability with follow-up variants, estimation questions and your CV.

How to prepare for the Probability & Brain-Teasers

• Estimate first, then formalize -- get a quick number, then justify it.
• Order statistics and random walks recur -- know expected min/max and first-passage logic.
• Expect follow-ups -- be ready to extend a result (n to infinity, add a constraint).

Further reading: How quant superdays work · Behavioral questions at trading firms · Market-making game interview guide.

Question types in this round

The 5 largest question types in the Tower Research Capital Probability & Brain-Teasers practice set; across them the most common sub-topics are discrete probability, expected value, independence, symmetry, conditional probability, geometric distribution. The questions themselves, with worked solutions, are in the round practice.

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