Conditional Probability
23 conditional probability problems ranked by difficulty, drawn from Jane Street, Optiver, and SIG quant interview rounds.
Overview
About conditional probability questions in quant interviews
Conditional Probability is one of the highest-frequency categories in quant interviews. Jane Street, Optiver, and SIG lean on this material because it filters candidates fast: if your reasoning under uncertainty is shaky, the rest of the interview rarely recovers. The 23 conditional probability questions on this page are sequenced from easy to hard so you can build pattern recognition before facing problems with deliberate ambiguity. Most interviewers reuse the same handful of setups, so the goal is to identify the structure within seconds, not to invent a solution from scratch.
How to study this topic
A path that works
- 1
Start with the easy set
Warm up with the 3 easy conditional probability questions. Quick wins build pattern recognition before complexity ramps.
- 2
Drill the medium tier next
10 medium questions sit in the sweet spot where most interview questions cluster. Time yourself, then redo any you missed two days later.
- 3
Stress-test on hard problems
10 hard questions simulate the on-site round. Skip looking at solutions for at least 20 minutes, then write up your approach.