Medium Market Maker Interview Questions
The level most market maker questions actually land at.
188 questions, 113 of them free to practise right now. The topics that come up most are probability (55), combinatorics (55), brainteasers (32), expected value (24).
- 25 horses, 5 tracksMediumBrainteasersView →
- A cube ending in elevenMediumProbabilityBrainteasersView →
- A low medianMediumProbabilityRandom VariablesView →
- A point near the cone's baseMediumProbabilityCalculusView →
- A prime sum on prime diceMediumProbabilityCombinatoricsView →
- Adults before the busMediumBrainteasersView →
- Age a fraction of the birth yearMediumBrainteasersView →
- An ace for everyoneMediumProbabilityCombinatoricsView →
- An ace in every pileMediumProbabilityCombinatoricsView →
- An ant returning to its cornerMediumExpected ValueStochastic ProcessesView →
- Anagrams of LOLLIPOPMediumCombinatoricsView →
- Balanced parenthesesMediumCombinatoricsProgramming & DSAView →
- Best linear blend of two estimatesMediumRandom VariablesStatisticsView →
- Boy–girl neighbors in a lineMediumCombinatoricsExpected ValueView →
- Cats and dogs on the streetMediumBrainteasersView →
- Chords that don't crossMediumProbabilityCombinatoricsView →
- Clock hands overlapMediumBrainteasersView →
- Coin sets the number of dice rollsMediumProbabilityConditional Probability & ExpectationView →
- Cosine of a conditional meanMediumProbabilityConditional Probability & ExpectationView →
- Cutting a cube into 27MediumBrainteasersView →
- Deleting every other number on a circleMediumCombinatoricsBrainteasersView →
- Density of a uniform squaredMediumRandom VariablesCalculusView →
- Derivative of xˣMediumCalculusView →
- Digits multiplying to half the numberMediumBrainteasersView →
- Digits of concatenated powersMediumBrainteasersView →
- Distinct die labelingsMediumCombinatoricsBrainteasersView →
- Distributing candies with a capMediumCombinatoricsView →
- Eigenvalues of a projectionMediumLinear AlgebraView →
- Emptying the cherry bowlMediumProbabilityCombinatoricsView →
- Exactly two aces in a bridge handMediumProbabilityCombinatoricsView →
- Expected fives before the first sixMediumProbabilityExpected ValueView →
- Expected flips for HHMediumRandom VariablesExpected ValueView →
- Expected flips for HTMediumExpected ValueStochastic ProcessesView →
- Fair outcome from a biased coinMediumProbabilityStatisticsView →
- First HH on the tenth tossMediumProbabilityCombinatoricsView →
- First head strictly soonerMediumProbabilityRandom VariablesView →
- First passage to ±1MediumStochastic ProcessesView →
- First to three of a kind in a rowMediumProbabilityExpected ValueView →
- Four fives before the first sixMediumProbabilityRandom VariablesView →
- Four points on a semicircleMediumProbabilityView →
- Four times as long to the first headMediumProbabilityRandom VariablesView →
- Fox, goose, beans crossingMediumBrainteasersView →
- Gambler's ruin (unfair)MediumProbabilityStochastic ProcessesView →
- Grandmother's age from the digitsMediumBrainteasersView →
- Heads given the ends differMediumConditional Probability & ExpectationExpected ValueView →
- How fast the bubble's skin growsMediumCalculusView →
- Integrating arctangent by partsMediumCalculusView →
- Is W(t)³ a martingale?MediumStochastic ProcessesView →
- Keeping two apartMediumCombinatoricsView →
- Kelly sizing on an asymmetric betMediumMarket Making & Betting GamesView →
- Largest circle in a triangleMediumBrainteasersView →
- Lattice paths in 3DMediumCombinatoricsView →
- Letters into envelopesMediumProbabilityExpected ValueView →
- Log-dynamics of a geometric Brownian motionMediumStochastic ProcessesView →
- Matching floors of a logarithmMediumProbabilityRandom VariablesView →
- Mean over variance of a nested uniformMediumProbabilityRandom VariablesView →
- Median of a list and its squaresMediumCombinatoricsStatisticsView →
- Monotone paths across a gridMediumCombinatoricsView →
- Monty HallMediumProbabilityConditional Probability & ExpectationView →
- Multiplications in fast exponentiationMediumProgramming & DSAView →
- No face card before the two of heartsMediumProbabilityCombinatoricsView →
- No two evens adjacentMediumCombinatoricsView →
- No two neighboring bulbs litMediumProbabilityCombinatoricsView →
- Non-attacking rooksMediumCombinatoricsView →
- Odd multiples of threeMediumCombinatoricsBrainteasersView →
- Odd solutions to a sumMediumCombinatoricsView →
- One card each in casino warMediumProbabilityCombinatoricsView →
- One extra roll for more primesMediumProbabilityView →
- One hundred animals for a thousand dollarsMediumBrainteasersView →
- One random subset inside anotherMediumProbabilityCombinatoricsView →
- Order statistics of two uniformsMediumRandom VariablesStatisticsView →
- Placing operators among digitsMediumCombinatoricsView →
- Position of the first aceMediumConditional Probability & ExpectationExpected ValueView →
- Pricing a digital from a call spreadMediumFinance & DerivativesView →
- Probability of three of a kindMediumProbabilityCombinatoricsView →
- Put–call parity with a dividendMediumFinance & DerivativesView →
- Rank and nullity of a rotationMediumLinear AlgebraView →
- Ratio of partial sumsMediumRandom VariablesExpected ValueView →
- Rebuilding a tower of ten ringsMediumBrainteasersProgramming & DSAView →
- Red faces on a diced cubeMediumCombinatoricsExpected ValueView →
- Regions from ten linesMediumCombinatoricsBrainteasersView →
- Rolls to a six before a fiveMediumProbabilityExpected ValueView →
- Sampling an exponential from a uniformMediumRandom VariablesProgramming & DSAView →
- Simulate probability pMediumProbabilityProgramming & DSAView →
- Smallest simulable probabilityMediumProbabilityBrainteasersView →
- Sum of multinomial coefficientsMediumCombinatoricsView →
- Sum of the pandigital numbersMediumCombinatoricsBrainteasersView →
- Summing digits to a millionMediumCombinatoricsBrainteasersView →
- Ten dice, sum divisible by sixMediumProbabilityCombinatoricsView →
- Terms in a multinomial expansionMediumCombinatoricsView →
- The Gaussian integralMediumCalculusView →
- The SDE of the reciprocalMediumStochastic ProcessesView →
- The birthday problemMediumProbabilityCombinatoricsView →
- The die that makes sums uniformMediumProbabilityCombinatoricsView →
- The largest unmakeable totalMediumCombinatoricsBrainteasersView →
- The most balanced factorizationMediumBrainteasersView →
- The same number of tailsMediumProbabilityCombinatoricsView →
- The two-headed coinMediumProbabilityConditional Probability & ExpectationView →
- Three ones in a rowMediumProbabilityCombinatoricsView →
- Three prisonersMediumProbabilityConditional Probability & ExpectationView →
- Three rolls, keep the lastMediumExpected ValueView →
- Three-four-five in Pascal's triangleMediumCombinatoricsBrainteasersView →
- Tiling a stripMediumCombinatoricsView →
- Trace of a productMediumLinear AlgebraView →
- Tuning an exponential random walkMediumProbabilityStochastic ProcessesView →
- Two childrenMediumProbabilityConditional Probability & ExpectationView →
- Two guards, two doorsMediumBrainteasersView →
- Two ropes, 45 minutesMediumBrainteasersView →
- Units digit of a random powerMediumProbabilityCombinatoricsView →
- Value of iⁱMediumCalculusView →
- Volume where two cylinders crossMediumCalculusView →
- When the naive shuffle is biasedMediumProgramming & DSAView →
- Width of a market under uncertaintyMediumMarket Making & Betting GamesStatisticsView →
- A convexity gap by JensenMediumRandom VariablesExpected Value Premium
- A divergent reciprocal expectationMediumRandom VariablesCalculus Premium
- A limit via the cosine seriesMediumCalculus Premium
- Adverse selection in quotingMediumMarket Making & Betting Games Premium
- An integral by symmetryMediumCalculus Premium
- Area of a parallelogramMediumLinear Algebra Premium
- Backing out the informed flow from imbalanceMediumMarket Making & Betting Games Premium
- Call count of memoized FibonacciMediumProgramming & DSA Premium
- Cash-and-carry arbitrage profitMediumFinance & Derivatives Premium
- Climbing stairsMediumCombinatoricsProgramming & DSA Premium
- CompositionsMediumCombinatorics Premium
- Convergence of the integral of x^(-p)MediumCalculus Premium
- Conversion arbitrage from a parity violationMediumFinance & Derivatives Premium
- Count set bitsMediumProgramming & DSA Premium
- Definite integral of x e^x on [0,1]MediumCalculus Premium
- Delta of a straddleMediumFinance & Derivatives Premium
- Double integral of x + y over the unit squareMediumCalculus Premium
- Equivalent continuously-compounded rateMediumFinance & Derivatives Premium
- Expectation of e raised to a normalMediumRandom VariablesExpected Value Premium
- Expected ascents in a shuffleMediumCombinatoricsExpected Value Premium
- Expected duration of a fair gameMediumExpected ValueStochastic Processes Premium
- Expected rolls for two sixes in a rowMediumExpected ValueStochastic Processes Premium
- Fair value after two informed buysMediumMarket Making & Betting Games Premium
- Gamma and rehedging P&LMediumFinance & Derivatives Premium
- HT before HH in coin flipsMediumProbabilityStochastic Processes Premium
- How many trials to poll a proportionMediumRandom VariablesStatistics Premium
- Implied dividend yield from a forwardMediumFinance & Derivatives Premium
- Integral by substitution: 2x e^(x^2)MediumCalculus Premium
- Inventory skewMediumMarket Making & Betting Games Premium
- Inversions in a shuffleMediumCombinatoricsExpected Value Premium
- Is the random walk squared a martingale?MediumExpected ValueStochastic Processes Premium
- Law of total varianceMediumConditional Probability & ExpectationExpected Value Premium
- Leibniz rule derivative at x = 1MediumCalculus Premium
- Limit of x^100 over e^xMediumCalculus Premium
- Marking a seasoned forwardMediumFinance & Derivatives Premium
- Markov with a floorMediumStatistics Premium
- Max rectangle under a parabolaMediumCalculus Premium
- Maximize x + y on the unit circleMediumLinear AlgebraCalculus Premium
- Median of a linear densityMediumRandom VariablesCalculus Premium
- Memoryless waitingMediumConditional Probability & ExpectationRandom Variables Premium
- Minimum given the maximumMediumProbabilityConditional Probability & Expectation Premium
- Monty Hall with 100 doorsMediumProbabilityConditional Probability & Expectation Premium
- No two heads in a rowMediumProbabilityCombinatorics Premium
- No-arbitrage call boundsMediumFinance & Derivatives Premium
- Onto functionsMediumCombinatorics Premium
- Optimal bid-ask placementMediumMarket Making & Betting Games Premium
- Optimally pooling two estimatorsMediumRandom VariablesStatistics Premium
- Pair at a round tableMediumCombinatorics Premium
- Pairing up six peopleMediumCombinatorics Premium
- Paths on a 4×3 gridMediumCombinatorics Premium
- Periodicity and limiting distributionMediumStochastic Processes Premium
- Power of three in a factorialMediumCombinatorics Premium
- Reading order flowMediumMarket Making & Betting Games Premium
- Regression to the meanMediumBrainteasersStatistics Premium
- Remaining life of a memoryless partMediumRandom Variables Premium
- Risk-neutral up probabilityMediumStochastic ProcessesFinance & Derivatives Premium
- Rolls until a face repeatsMediumProbabilityExpected Value Premium
- Second-price auction strategyMediumProbabilityMarket Making & Betting Games Premium
- Short-straddle P&L when vol stays lowMediumFinance & Derivatives Premium
- Spaced onesMediumCombinatorics Premium
- The larger die shows a 4MediumProbabilityRandom Variables Premium
- The missing dollarMediumBrainteasers Premium
- The probability integral transformMediumRandom VariablesStatistics Premium
- The two black aces, side by sideMediumProbabilityCombinatorics Premium
- Three mislabeled jarsMediumBrainteasers Premium
- Three unlabeled teamsMediumCombinatorics Premium
- Two trains and a flyMediumBrainteasers Premium
- Variance of a stochastic integralMediumProbabilityStochastic Processes Premium
- Weighing 1 to 40MediumBrainteasers Premium
- When to prefer memoization over tabulationMediumProgramming & DSA Premium
- Which coin produced two heads?MediumProbabilityConditional Probability & Expectation Premium
- Wine and waterMediumBrainteasers Premium
- Winning from deuceMediumProbabilityConditional Probability & Expectation Premium
- Within distance d on the unit intervalMediumProbabilityCalculus Premium
- k-th order statisticMediumExpected ValueStatistics Premium
Widen the search
This set is a slice of two larger ones. If it is too narrow, start here instead:
Practise these free
Create a free account to check your answers, track what you have solved, and run the timed simulators. Premium unlocks a full worked solution for every question.