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Quant Interview Track

27 problems·~16h·4 stages

Probability brainteasers, statistics, and fast algorithms, sequenced the way trading interviews ask them. You will drill counting, Bayes, and distributions, then algorithmic classics, then gambler's ruin and the limit theorems, until they are automatic. Timed practice recommended once you finish.

Your progress

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Continue path · Combinations (nCr)

What you will learn

  • Drill counting, combinatorics, and conditional probability
  • Solve classic brainteasers: birthday, coupon collector, gambler's ruin
  • Handle expectation, variance, and limit theorems under time pressure
  • Pair probability with fast algorithmic warm-ups

Before you start

1Counting

0/7

Combinatorial speed drills: combinations, permutations, factorials, stars and bars, complements, binomial moments, and the geometric PMF.

Stage checkpoint

0/2 to pass

A checkpoint is a short retrieval test drawn from this stage: solve 2 of 3 from memory to mark the stage complete. The stage stays open either way.

Tried this set and did not pass? Record it — the next set swaps in fresh problems from the same stage.
LabRecommended next stepCredit Default DetectorMedium

2Conditional Probability

0/7

Given what you know: Bayes, total probability, conditional tables, variances, multinomial counts, the birthday problem, and the coupon collector.

Stage checkpoint

0/2 to pass

A checkpoint is a short retrieval test drawn from this stage: solve 2 of 3 from memory to mark the stage complete. The stage stays open either way.

Tried this set and did not pass? Record it — the next set swaps in fresh problems from the same stage.
LabRecommended next stepCredit Default DetectorMedium

3Algorithms Under Pressure

0/6

The algorithm half of a quant screen: binary search, fast exponentiation, maximum subarray, binomial coefficients, the median of two sorted arrays, and counting reverse pairs.

Stage checkpoint

0/2 to pass

A checkpoint is a short retrieval test drawn from this stage: solve 2 of 3 from memory to mark the stage complete. The stage stays open either way.

Tried this set and did not pass? Record it — the next set swaps in fresh problems from the same stage.
SimulationRecommended next stepDijkstra Step-Through

4Walks and Limits

0/7

Long-run behavior: binomial CDFs, two-state stationary distributions, expected hitting times, gambler's ruin and its duration, the law of large numbers, and the Central Limit Theorem.

Stage checkpoint

0/2 to pass

A checkpoint is a short retrieval test drawn from this stage: solve 2 of 3 from memory to mark the stage complete. The stage stays open either way.

Tried this set and did not pass? Record it — the next set swaps in fresh problems from the same stage.
LabRecommended next stepCredit Default DetectorMedium

Capstone

Collection

Close the path with one real artifact from the catalog.

Probability Brainteasers

Birthday problems, coupon collector, and expectation puzzles under interview rules.