Medium Market Maker Interview Questions
The level most market maker questions actually land at.
188 questions, all free to practise. The topics that come up most are probability (55), combinatorics (55), brainteasers (32), expected value (24).
- 25 horses, 5 tracksMediumBrainteasersView →
- A convexity gap by JensenMediumRandom VariablesExpected ValueView →
- A cube ending in elevenMediumProbabilityBrainteasersView →
- A divergent reciprocal expectationMediumRandom VariablesCalculusView →
- A limit via the cosine seriesMediumCalculusView →
- A low medianMediumProbabilityRandom VariablesView →
- A point near the cone's baseMediumProbabilityCalculusView →
- A prime sum on prime diceMediumProbabilityCombinatoricsView →
- Adults before the busMediumBrainteasersView →
- Adverse selection in quotingMediumMarket Making & Betting GamesView →
- Age a fraction of the birth yearMediumBrainteasersView →
- An ace for everyoneMediumProbabilityCombinatoricsView →
- An ace in every pileMediumProbabilityCombinatoricsView →
- An ant returning to its cornerMediumExpected ValueStochastic ProcessesView →
- An integral by symmetryMediumCalculusView →
- Anagrams of LOLLIPOPMediumCombinatoricsView →
- Area of a parallelogramMediumLinear AlgebraView →
- Backing out the informed flow from imbalanceMediumMarket Making & Betting GamesView →
- Balanced parenthesesMediumCombinatoricsProgramming & DSAView →
- Best linear blend of two estimatesMediumRandom VariablesStatisticsView →
- Boy–girl neighbors in a lineMediumCombinatoricsExpected ValueView →
- Call count of memoized FibonacciMediumProgramming & DSAView →
- Cats and dogs on the streetMediumBrainteasersView →
- Chords that don't crossMediumProbabilityCombinatoricsView →
- Climbing stairsMediumCombinatoricsProgramming & DSAView →
- Clock hands overlapMediumBrainteasersView →
- Coin sets the number of dice rollsMediumProbabilityConditional Probability & ExpectationView →
- CompositionsMediumCombinatoricsView →
- Convergence of the integral of x^(-p)MediumCalculusView →
- Conversion arbitrage from a parity violationMediumFinance & DerivativesView →
- Cosine of a conditional meanMediumProbabilityConditional Probability & ExpectationView →
- Count set bitsMediumProgramming & DSAView →
- Cutting a cube into 27MediumBrainteasersView →
- Definite integral of x e^x on [0,1]MediumCalculusView →
- Deleting every other number on a circleMediumCombinatoricsBrainteasersView →
- Delta of a straddleMediumFinance & DerivativesView →
- 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 →
- Double integral of x + y over the unit squareMediumCalculusView →
- Eigenvalues of a projectionMediumLinear AlgebraView →
- Emptying the cherry bowlMediumProbabilityCombinatoricsView →
- Equivalent continuously-compounded rateMediumFinance & DerivativesView →
- Exactly two aces in a bridge handMediumProbabilityCombinatoricsView →
- Expectation of e raised to a normalMediumRandom VariablesExpected ValueView →
- Expected ascents in a shuffleMediumCombinatoricsExpected ValueView →
- Expected duration of a fair gameMediumExpected ValueStochastic ProcessesView →
- Expected fives before the first sixMediumProbabilityExpected ValueView →
- Expected flips for HHMediumRandom VariablesExpected ValueView →
- Expected flips for HTMediumExpected ValueStochastic ProcessesView →
- Expected rolls for two sixes in a rowMediumExpected ValueStochastic ProcessesView →
- Fair outcome from a biased coinMediumProbabilityStatisticsView →
- Fair value after two informed buysMediumMarket Making & Betting GamesView →
- 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 →
- Forward price with a cash dividendMediumFinance & DerivativesView →
- 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 →
- Gamma and rehedging P&LMediumFinance & DerivativesView →
- Grandmother's age from the digitsMediumBrainteasersView →
- HT before HH in coin flipsMediumProbabilityStochastic ProcessesView →
- Heads given the ends differMediumConditional Probability & ExpectationExpected ValueView →
- How fast the bubble's skin growsMediumCalculusView →
- How many trials to poll a proportionMediumRandom VariablesStatisticsView →
- Implied dividend yield from a forwardMediumFinance & DerivativesView →
- Integral by substitution: 2x e^(x^2)MediumCalculusView →
- Integrating arctangent by partsMediumCalculusView →
- Inventory skewMediumMarket Making & Betting GamesView →
- Inversions in a shuffleMediumCombinatoricsExpected ValueView →
- Is W(t)³ a martingale?MediumStochastic ProcessesView →
- Is the random walk squared a martingale?MediumExpected ValueStochastic ProcessesView →
- Keeping two apartMediumCombinatoricsView →
- Kelly sizing on an asymmetric betMediumMarket Making & Betting GamesView →
- Largest circle in a triangleMediumBrainteasersView →
- Lattice paths in 3DMediumCombinatoricsView →
- Law of total varianceMediumConditional Probability & ExpectationExpected ValueView →
- Leibniz rule derivative at x = 1MediumCalculusView →
- Letters into envelopesMediumProbabilityExpected ValueView →
- Limit of x^100 over e^xMediumCalculusView →
- Log-dynamics of a geometric Brownian motionMediumStochastic ProcessesView →
- Marking a seasoned forwardMediumFinance & DerivativesView →
- Markov with a floorMediumStatisticsView →
- Matching floors of a logarithmMediumProbabilityRandom VariablesView →
- Max rectangle under a parabolaMediumCalculusView →
- Maximize x + y on the unit circleMediumLinear AlgebraCalculusView →
- Mean over variance of a nested uniformMediumProbabilityRandom VariablesView →
- Median of a linear densityMediumRandom VariablesCalculusView →
- Median of a list and its squaresMediumCombinatoricsStatisticsView →
- Memoryless waitingMediumConditional Probability & ExpectationRandom VariablesView →
- Minimum given the maximumMediumProbabilityConditional Probability & ExpectationView →
- Monotone paths across a gridMediumCombinatoricsView →
- Monty HallMediumProbabilityConditional Probability & ExpectationView →
- Monty Hall with 100 doorsMediumProbabilityConditional Probability & ExpectationView →
- Multiplications in fast exponentiationMediumProgramming & DSAView →
- No face card before the two of heartsMediumProbabilityCombinatoricsView →
- No two evens adjacentMediumCombinatoricsView →
- No two heads in a rowMediumProbabilityCombinatoricsView →
- No two neighboring bulbs litMediumProbabilityCombinatoricsView →
- No-arbitrage call boundsMediumFinance & DerivativesView →
- 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 →
- Onto functionsMediumCombinatoricsView →
- Optimal bid-ask placementMediumMarket Making & Betting GamesView →
- Optimally pooling two estimatorsMediumRandom VariablesStatisticsView →
- Order statistics of two uniformsMediumRandom VariablesStatisticsView →
- Paid only if the last roll winsMediumExpected ValueView →
- Pair at a round tableMediumCombinatoricsView →
- Pairing up six peopleMediumCombinatoricsView →
- Paths on a 4×3 gridMediumCombinatoricsView →
- Periodicity and limiting distributionMediumStochastic ProcessesView →
- Placing operators among digitsMediumCombinatoricsView →
- Position of the first aceMediumConditional Probability & ExpectationExpected ValueView →
- Power of three in a factorialMediumCombinatoricsView →
- 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 →
- Reading order flowMediumMarket Making & Betting GamesView →
- Rebuilding a tower of ten ringsMediumBrainteasersProgramming & DSAView →
- Red faces on a diced cubeMediumCombinatoricsExpected ValueView →
- Regions from ten linesMediumCombinatoricsBrainteasersView →
- Regression to the meanMediumBrainteasersStatisticsView →
- Remaining life of a memoryless partMediumRandom VariablesView →
- Risk-neutral up probabilityMediumStochastic ProcessesFinance & DerivativesView →
- Rolls to a six before a fiveMediumProbabilityExpected ValueView →
- Rolls until a face repeatsMediumProbabilityExpected ValueView →
- Sampling an exponential from a uniformMediumRandom VariablesProgramming & DSAView →
- Second-price auction strategyMediumProbabilityMarket Making & Betting GamesView →
- Short-straddle P&L when vol stays lowMediumFinance & DerivativesView →
- Simulate probability pMediumProbabilityProgramming & DSAView →
- Smallest simulable probabilityMediumProbabilityBrainteasersView →
- Spaced onesMediumCombinatoricsView →
- 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 larger die shows a 4 - what about the smaller?MediumProbabilityRandom VariablesView →
- The largest unmakeable totalMediumCombinatoricsBrainteasersView →
- The missing dollarMediumBrainteasersView →
- The most balanced factorizationMediumBrainteasersView →
- The probability integral transformMediumRandom VariablesStatisticsView →
- The same number of tailsMediumProbabilityCombinatoricsView →
- The two black aces, side by sideMediumProbabilityCombinatoricsView →
- The two-headed coinMediumProbabilityConditional Probability & ExpectationView →
- Three mislabeled jarsMediumBrainteasersView →
- Three ones in a rowMediumProbabilityCombinatoricsView →
- Three prisonersMediumProbabilityConditional Probability & ExpectationView →
- Three unlabeled teamsMediumCombinatoricsView →
- 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 →
- Two trains and a flyMediumBrainteasersView →
- Units digit of a random powerMediumProbabilityCombinatoricsView →
- Value of iⁱMediumCalculusView →
- Variance of a stochastic integralMediumProbabilityStochastic ProcessesView →
- Volume where two cylinders crossMediumCalculusView →
- Weighing 1 to 40MediumBrainteasersView →
- When the naive shuffle is biasedMediumProgramming & DSAView →
- When to prefer memoization over tabulationMediumProgramming & DSAView →
- Which coin produced two heads?MediumProbabilityConditional Probability & ExpectationView →
- Width of a market under uncertaintyMediumMarket Making & Betting GamesStatisticsView →
- Wine and waterMediumBrainteasersView →
- Winning from deuceMediumProbabilityConditional Probability & ExpectationView →
- Within distance d on the unit intervalMediumProbabilityCalculusView →
- k-th order statisticMediumExpected ValueStatisticsView →
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