Prop Trading Interview Questions
Prop trading interviews mix probability, statistics and brainteasers with real programming, favouring candidates who reason precisely and implement cleanly.
Expect probability and statistics questions that test how you handle uncertainty, brainteasers, and - for developer and quant roles - Python and algorithmic coding. Trading rounds add risk and decision-making scenarios drawn from the asset classes the desk trades.
A representative process starts with a timed at-home technical challenge - an automated coding test for software roles, or a probability-and-logic challenge for trading and quant roles - followed by a video interview and an in-person final round, which for quantitative trading tracks often adds a coding challenge and a trading simulation.
121 questions tagged to Prop Trading · all free to practise.
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This format spans probability, statistics, brainteasers, and programming. Build breadth with:
- A hundred days of compoundingEasyBrainteasersFinance & DerivativesView →
- A majority of onesEasyCombinatoricsView →
- A perfect-power dice sumEasyProbabilityCombinatoricsView →
- A race between two small-angle ratesEasyCalculusView →
- A repeated digit in the PINEasyProbabilityCombinatoricsView →
- A two-sigma tail probabilityEasyRandom VariablesStatisticsView →
- Additions in a naive moving averageEasyProgramming & DSAView →
- Both sixes given at least oneEasyProbabilityConditional Probability & ExpectationView →
- Chi-square test for a varianceEasyStatisticsView →
- Correlation of two event indicatorsEasyProbabilityStatisticsView →
- Divisible by 2 or 3EasyCombinatoricsView →
- Net P&L of a two-leg book from DV01EasyFinance & DerivativesView →
- Numbers with exactly two set bitsEasyProgramming & DSAView →
- Paid a dollar or the drawEasyExpected ValueStatisticsView →
- R-squared when you duplicate every pointEasyStatisticsView →
- Recover an XOR of two unknownsEasyProgramming & DSAView →
- Regressing with zero covarianceEasyRandom VariablesStatisticsView →
- Ripple on a pondEasyCalculusView →
- Settlement on a pay-fixed FRAEasyFinance & DerivativesView →
- Sharing your weekday of birthEasyProbabilityView →
- Sharpe of two combined uncorrelated strategiesEasyStatisticsFinance & DerivativesView →
- Slope of a product at a special pointEasyCalculusView →
- The costliest roulette bet on the tableEasyProbabilityExpected ValueView →
- Three-one strings with matching endpointsEasyCombinatoricsView →
- Two heads given an even countEasyProbabilityConditional Probability & ExpectationView →
- 1000 bottles, one poisonedMediumBrainteasersView →
- A Cholesky diagonal entryMediumLinear AlgebraView →
- A family clustered at a round tableMediumCombinatoricsView →
- A point near the cone's baseMediumProbabilityCalculusView →
- A stationary probabilityMediumStochastic ProcessesView →
- Absorption probability on a lineMediumProbabilityStochastic ProcessesView →
- Arbitraging a mispriced forward loanMediumFinance & DerivativesView →
- Arc length of a curveMediumCalculusView →
- Arrivals before the rival streamMediumProbabilityStochastic ProcessesView →
- Backing out a correlationMediumRandom VariablesStatisticsView →
- Backing out the informed flow from imbalanceMediumMarket Making & Betting GamesView →
- Both even given an even sumMediumProbabilityConditional Probability & ExpectationView →
- Buyer count in a thinned arrival streamMediumProbabilityStochastic ProcessesView →
- Cheapest open-top boxMediumCalculusView →
- Coin-pile NimMediumBrainteasersMarket Making & Betting GamesView →
- Convergence of the integral of x^(-p)MediumCalculusView →
- Count set bitsMediumProgramming & DSAView →
- Counting the innermost callsMediumProgramming & DSAView →
- Covariance of sum and differenceMediumRandom VariablesStatisticsView →
- Density of a sum of two uniformsMediumProbabilityRandom VariablesView →
- Derangements of four itemsMediumCombinatoricsView →
- Dice game, up to three rollsMediumExpected ValueStochastic ProcessesView →
- Diversified VaR of two positionsMediumStatisticsFinance & DerivativesView →
- Duration-plus-convexity price moveMediumFinance & DerivativesView →
- Euclid's worst-case step countMediumProgramming & DSAView →
- Exact comparisons for min and maxMediumProgramming & DSAView →
- Expectation as a sum of tailsMediumRandom VariablesExpected ValueView →
- Expectation of −2 ln UMediumRandom VariablesCalculusView →
- Expected exponential of Brownian motionMediumStochastic ProcessesView →
- Expected maximum of three diceMediumRandom VariablesExpected ValueView →
- Expected sum of a random subsetMediumExpected ValueView →
- Fair outcome from a biased coinMediumProbabilityStatisticsView →
- First to roll a sixMediumProbabilityView →
- Five distinct ranksMediumProbabilityCombinatoricsView →
- Forward vs. futures priceMediumFinance & DerivativesView →
- Full housesMediumProbabilityCombinatoricsView →
- Gambler's ruinMediumProbabilityStochastic ProcessesView →
- Integral by substitution: 2x e^(x^2)MediumCalculusView →
- Inventory-skewed reservation priceMediumMarket Making & Betting GamesView →
- Inversions in a shuffleMediumCombinatoricsExpected ValueView →
- Joint default rangeMediumProbabilityFinance & DerivativesView →
- Larger eigenvalue of a 2×2MediumLinear AlgebraView →
- Last two digits of a powerMediumCombinatoricsBrainteasersView →
- Leibniz rule derivative at x = 1MediumCalculusView →
- Macaulay duration of a coupon bondMediumFinance & DerivativesView →
- Newton's division-free reciprocalMediumCalculusView →
- Number of runsMediumExpected ValueView →
- OLS slope from four pointsMediumStatisticsView →
- One hundred light bulbsMediumBrainteasersView →
- Optimal bid-ask placementMediumMarket Making & Betting GamesView →
- Order statistics of two uniformsMediumRandom VariablesStatisticsView →
- Painted cube, one face showingMediumProbabilityBrainteasersView →
- Par swap rate definitionMediumFinance & DerivativesView →
- Periodicity and limiting distributionMediumStochastic ProcessesView →
- Position of the first spadeMediumCombinatoricsExpected ValueView →
- Pricing a coupon bond off the spot curveMediumFinance & DerivativesView →
- Rate of a growing shadowMediumCalculusView →
- Reaching the target before ruinMediumStochastic ProcessesView →
- Reading order flowMediumMarket Making & Betting GamesView →
- Reducing a matrix power with Cayley–HamiltonMediumLinear AlgebraView →
- Rehedging a book after a moveMediumFinance & DerivativesView →
- Remaining life of a memoryless partMediumRandom VariablesView →
- Renewal-reward fraction of time runningMediumExpected ValueStochastic ProcessesView →
- Return time from a three-state chainMediumStochastic ProcessesView →
- Rolls until a face repeatsMediumProbabilityExpected ValueView →
- Short-straddle P&L when vol stays lowMediumFinance & DerivativesView →
- Sift-up swaps in a binary heapMediumProgramming & DSAView →
- Spaced onesMediumCombinatoricsView →
- Sum of independent PoissonsMediumProbabilityRandom VariablesView →
- The Markov propertyMediumStochastic ProcessesView →
- The St. Petersburg paradoxMediumExpected ValueMarket Making & Betting GamesView →
- The costliest mergeMediumProgramming & DSAView →
- The half-full nodeMediumProgramming & DSAView →
- The painted cubeMediumBrainteasersView →
- The profitable range of a short strangleMediumFinance & DerivativesView →
- Tiling a stripMediumCombinatoricsView →
- Two uniforms summing below a halfMediumProbabilityRandom VariablesView →
- Two uniforms summing past 1.5MediumProbabilityCalculusView →
- Two-sided p-value of a mean testMediumStatisticsView →
- Variance of a compound daily totalMediumRandom VariablesView →
- Variance of a lognormalMediumRandom VariablesFinance & DerivativesView →
- Variance of coins-per-die headsMediumRandom VariablesStatisticsView →
- Volume where two cylinders crossMediumCalculusView →
- What a p-value isMediumStatisticsView →
- When does the system fail to have a unique solution?MediumLinear AlgebraView →
- When time decay reversesMediumFinance & DerivativesView →
- Where the slope is steepest downhillMediumCalculusView →
- Which deck for two reds?MediumProbabilityView →
- Whose draw is larger?MediumProbabilityView →
- Winner's curseMediumMarket Making & Betting GamesView →
- Within distance d on the unit intervalMediumProbabilityCalculusView →
- Absorption in naive floating-point summationHardCalculusProgramming & DSAView →
- Defective stack of coinsHardCombinatoricsBrainteasersView →
- Expected comparisons, from first principlesHardProgramming & DSAView →
- Expected duration of a fair walkHardExpected ValueStochastic ProcessesView →
- Reflecting wall first-passage timeHardExpected ValueStochastic ProcessesView →
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Frequently asked questions
- What does a mixed quant and coding interview cover?
- Probability, statistics, and brainteasers, plus programming and data structures for engineering and quant-developer roles. Precise reasoning is the throughline.
- How do I prepare?
- Drill a broad probability and statistics set, practise brainteasers, and keep your coding sharp for technical roles. Reviewing worked solutions sharpens the precision expected.
- Is programming always required?
- For quant-developer and engineering roles, yes - expect data-structures and algorithms questions. Pure-trading roles weight quantitative reasoning more heavily.