Quant interview questions
1,322 questions in the style trading and research firms ask, from probability and brainteasers to options, statistics and coding. Every question is open to read; the 50 in the free sample show their worked solutions here.
245 questions · page 2 of 7 · Clear filters
- Five points are placed anywhere in a 1 × 1 square.Counting and combinatorics · Applied
- A path from (0,0) to (5,5) takes unit steps right or up.Counting and combinatorics · Advanced
- Three independent draws are made from the uniform distribution on [0,1].Probability · Foundation
- In Texas Hold'em you are dealt two cards from a standard deck.Probability · Foundation
- A fair coin is flipped 100 times.Probability · Applied
- A 3 × 3 × 3 cube is painted red and cut into 27 unit cubes.Probability · Applied
- A disease affects 1 person in 1000.Probability · Applied
- You have $10 and your opponent has $90.Probability · Applied
- Five independent draws are made from the uniform distribution on [0,1].Probability · Applied
- Three cards: one red on both sides, one red on one side and black on the other…Probability · Applied
- How many people are needed before the probability that two share a birthday…Probability · Applied
- What upper bound does Chebyshev’s inequality place on Pr(|X−μ|≥ 3σ)?Probability · Applied
- For a positive random variable X that is not constant, how do 𝔼[1/X] and 1/𝔼[X] compare?Probability · Applied
- A team wins each game of a best-of-seven series independently with probability 0.6.Probability · Applied
- X is uniform on [−1,1] and Y = X². Which statement is true?Probability · Applied
- A symmetric random walk starts at 0 and stops the first time it reaches +3 or −2.Probability · Applied
- A prize is behind one of 100 doors.Probability · Applied
- A stock is equally likely to be a low-volatility name with daily return…Probability · Advanced
- In the law of total variance, what does the term Var(𝔼[X|Y]) measure?Probability · Advanced
- A family has two children.Probability · Advanced
- Your opponent has $2 and you have $1.Probability · Advanced
- A stick of length one is broken at two points chosen independently and uniformly along it.Probability · Advanced
- You choose the pattern HHH and your opponent, choosing afterwards, picks THH.Probability · Expert
- The pot holds $60 and your opponent bets $30.Games, decision theory and puzzles · Foundation
- Twenty-one matches, players alternate taking one, two or three, and whoever…Games, decision theory and puzzles · Foundation
- Two players take turns flipping a fair coin, and the first to flip heads wins.Games, decision theory and puzzles · Foundation
- In Texas Hold'em, you are dealt pocket aces once in how many hands, on average?Games, decision theory and puzzles · Foundation
- The pot holds $150 including your opponent’s bet, and you must call $50.Games, decision theory and puzzles · Foundation
- You roll a fair die and may re-roll once, keeping the second value if you do.Games, decision theory and puzzles · Applied · Free solution
- In the secretary problem, what is the probability the optimal policy finds the…Games, decision theory and puzzles · Applied
- Twelve coins, one counterfeit and either heavier or lighter.Games, decision theory and puzzles · Applied
- In a zero-sum game, what characterises your opponent’s optimal mixing frequencies?Games, decision theory and puzzles · Applied
- You have two eggs and a 100-storey building.Games, decision theory and puzzles · Applied
- You hold a flush draw after the flop: nine cards complete it and 47 are unseen.Games, decision theory and puzzles · Applied
- When is a game-theory-optimal strategy the wrong choice against a specific opponent?Games, decision theory and puzzles · Applied
- Nim with piles of 3, 4 and 5: you move first and the player taking the last counter wins.Games, decision theory and puzzles · Applied
- In a sealed-bid auction where the winner pays the second-highest bid, what should you bid?Games, decision theory and puzzles · Applied
- Everyone names a number in [0,100] and whoever is closest to two thirds of the…Games, decision theory and puzzles · Applied
- You may roll a fair die up to three times and are paid the face value of the…Games, decision theory and puzzles · Applied
- A six-chamber revolver holds two bullets in adjacent chambers.Games, decision theory and puzzles · Applied