Interview Questions

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6,535 questions
548 companies
49 roles
Last updated Nov 2026

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Interview Questions

Two three-digit numbers, each from 100 to 999, are chosen independently and uniformly at random. What is the probability that their absolute difference is a two-digit number?

You flip 8 fair coins. What is the probability that the same face comes up at least three times in a row at some point?

Thirteen cards are dealt from a standard deck. What is the probability that none is an ace?

Roll three dice. What is the probability that some subset of them (one, two or all three dice) sums to exactly 5?

A bag holds 10 red, 10 yellow and 10 blue balls. You draw three balls without replacement. What is the probability that the three balls are all of different colours?

Start with 30 and roll a die 10 times; each roll adds 1 or subtracts 1 with probability 1/2. What is the expected final score?

You must buy one unit at each of n times, at a Uniform(a, b) market price you see first or from a broker at fixed price p, at most k times. Compute the expected optimal cost.

61 coins are put at random into 15 boxes. You win a prize if at least one box ends up holding more than 4 coins. How likely are you to win?

Asta, Bronya and Clara each say something about their numbers of cats, truthfully to anyone with fewer cats and falsely to anyone with more. How many cats does Asta have?

How do you deal with someone's opinion that is hard for you to hear?

Write a MapReduce algorithm for the closed-form OLS solution when the number of rows n is far too large for one machine, the number of features k is small and you have m machines.

Explain the kernel method.

The design matrix in a least squares regression is rank deficient. How do you deal with it?

What is the closed-form solution of OLS linear regression? If the design matrix is large because there are many features, how do you speed up the calculation?

You write a Fibonacci function that many callers use with sparsely scattered inputs. How do you optimise it?

Design a large-scale system that stores market data so that it can be used to build models.

Can you design a four-sided die and an eight-sided die, with any face numbers and probabilities, whose sum has the same distribution as the sum of two fair six-sided dice?

In the regression Y = X theta, two columns of X are almost linearly dependent. What happens and how do you handle it? What else can make a regression output nonsensical?

How do you handle categorical variables in a model?

A leak says the UK will raise interest rates within a week. How does the dollar price of sterling move, would you buy pounds, and what model supports that?

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