You pick n points independently and uniformly at random on the circumference of a circle. 1. What is the probability P(n) that all n points lie within some semicircle of the circle? 2. Simplify your answer to a closed‐form in terms of n.
Quantitative Research Associate Interview Questions
3,500 quantitative research associate interview questions shared by candidates
1. Initial Phone/Zoom Screen • Mental math: Fast, accurate calculations without a calculator (e.g., expected values, probability puzzles, number manipulation). • Logic and probability puzzles: Think of problems involving coins, dice, cards, or Bayesian reasoning. It’s less about prior knowledge and more about thinking out loud and asking the right questions. • Communication: They want to see how clearly and precisely you explain your thought process. 2. Follow-up Technical Interviews • More in-depth problems: These might be longer or more open-ended than the initial screen. They often involve iterating on a solution as the interviewer adds constraints. • Game theory, probability, statistics, estimation questions. • Programming (if applicable): For quant research roles, there might be some Python or OCaml-style thinking, but usually less coding and more algorithmic logic.
mostly probability and logic problems
You flip a coin against me and whoever gets more heads wins. If you can bet money after each coin flip, what is the optimal betting strategy
Probability of raining on sunday or saturday based on individual probabilities. Give upper and lower bounds on the probability of the union.
Alice and Bob each have a coin and flip it until they get a heads. If Bob flipped his coin more times than Alice, what is the expected number of times Alice flipped her coin?
Ask about my programming background as well
the deck of cards question described in other reviews
Person A has a 20-sided dice and person B has three 6-sided dice. They both roll their dice and whoever gets a bigger number/sum of numbers wins the game. Is it a fair game? Same game with one more player C who has a 20-sided dice. Is this new game fair? (all dice are fair; a 20-sided dice has number 1,2,…, 20 on each of its 20 sides)
Bayes problem involving an unfair coin mixed in a certrain number of fair coins
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