Solve Classic Probability Questions
Company: Citadel
Role: Data Scientist
Category: Statistics & Math
Difficulty: hard
Interview Round: Onsite
Quick Answer: This set evaluates probabilistic reasoning and expectation computation across topics such as sequential conditional survival, convolution of continuous distributions, coupon-collector expectations, variance under uniform sampling in a ball, and constrained online selection decisions, and falls under Statistics & Math with emphasis on probability theory and stochastic processes. These problems are commonly asked to probe analytical probability intuition, facility with integration and combinatorial expectation, handling of information updates and dependence, and formulation of online decision rules; the level of abstraction spans both conceptual understanding and practical application requiring formal probabilistic derivations.