Quant interview questions

1,322 questions · page 4 of 34

• 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
• In Monty Hall, suppose the host does not know where the prize is and opens a…Probability · Applied
• You have rolled a fair die twelve times without seeing a six.Probability · Applied
• One name has daily volatility 1% and another 3%, both with mean return zero.Probability · Applied
• You have $10 and your opponent has $90.Probability · Applied
• You start with $10 against an opponent with $90, flipping a fair coin for $1.Probability · Applied
• Five independent draws are made from the uniform distribution on [0,1].Probability · Applied
• Four independent exponential variables each have rate 2.Probability · Applied
• Two independent draws are made from the uniform distribution on [0,1].Probability · Applied
• You simulate a fair seven-sided die by rolling a fair six-sided die twice and…Probability · Applied
• You have a uniform random number generator and need draws from a distribution…Probability · Applied
• Three cards: one red on both sides, one red on one side and black on the other…Probability · Applied
• Two fair dice are rolled and you are told at least one shows a six.Probability · Applied
• How many people are needed before the probability that two share a birthday…Probability · Applied
• Orders arrive as a Poisson process averaging four per minute.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
• Cereal boxes each contain one of ten equally likely coupons.Probability · Applied
• How many flips of a fair coin are needed, on average, to see three heads in a row?Probability · Applied
• A team wins each game of a best-of-seven series independently with probability 0.6.Probability · Applied
• A fair six-sided die is rolled six times.Probability · Applied
• You roll a fair die until the first six. What is the variance of the number of rolls?Probability · Applied
• X is uniform on [−1,1] and Y = X². Which statement is true?Probability · Applied
• You roll a fair die and then flip that many fair coins.Probability · Applied
• A symmetric random walk starts at 0 and stops the first time it reaches +3 or −2.Probability · Applied
• Four independent uniforms are drawn on [0,1].Probability · Applied
• Thirty people are in a room and birthdays are uniform over 365 days.Probability · Applied
• Ten orders are sent at random to ten venues, each venue equally likely for every order.Probability · Applied
• A prize is behind one of 100 doors.Probability · Applied
• Which bag was it?, part 2 of 3Probability · Applied
• The gambler with an edge, part 2 of 3Probability · Applied
• Two forecasts, part 2 of 3Probability · Applied · Free solution
• The die with a second chance, part 2 of 3Probability · Applied
• The dragon with regrowing heads, part 3 of 3Probability · Advanced
• Two-state weather desk, part 3 of 3Probability · Advanced
• Three quoted horses, part 3 of 3Probability · Advanced
• You may re-roll a fair six-sided die as often as you like, paying $1 each time you do.Probability · Advanced
• A stock is equally likely to be a low-volatility name with daily return…Probability · Advanced
• A coin is drawn at random: with probability 1/2 it is fair, otherwise it lands…Probability · Advanced