Market Maker Interview Questions for Traders
The same round is marked differently depending on the seat you are interviewing for. This is the market maker set as it applies to traders.
144 questions, 102 of them free to practise right now. The split is 28 easy, 79 medium, 37 hard. The topics that come up most are probability (73), combinatorics (38), brainteasers (35), expected value (23).
- A majority of onesEasyCombinatoricsView →
- A specific sequence given three headsEasyProbabilityConditional Probability & ExpectationView →
- All four aces before any kingEasyProbabilityCombinatoricsView →
- All the squares on a chessboardEasyCombinatoricsBrainteasersView →
- Beating a product of uniformsEasyProbabilityRandom VariablesView →
- Beating three othersEasyProbabilityRandom VariablesView →
- Clock angle at 3:15EasyBrainteasersView →
- Even heads with one fair coinEasyProbabilityConditional Probability & ExpectationView →
- Expected flips for two heads in a rowEasyProbabilityExpected ValueView →
- Guessing a number with high-low hintsEasyBrainteasersProgramming & DSAView →
- Handshakes at four couplesEasyCombinatoricsBrainteasersView →
- Keep it or draw againEasyProbabilityExpected ValueView →
- Matching a max and a min at zeroEasyProbabilityView →
- Matching locks to keysEasyBrainteasersView →
- More heads than tails in six flipsEasyProbabilityView →
- Reflipping for valueEasyProbabilityExpected ValueView →
- Repeated digit on a plateEasyCombinatoricsView →
- Six heads from a random biased coinEasyConditional Probability & ExpectationRandom VariablesView →
- Summing n plus one over two to the nEasyCalculusView →
- Tangent-minus-sine third-order limitEasyCalculusView →
- The added babyEasyProbabilityConditional Probability & ExpectationView →
- The price of a triangular gardenEasyBrainteasersView →
- The top two cards form a pairEasyProbabilityCombinatoricsView →
- Three cube faces at a cornerEasyProbabilityCombinatoricsView →
- Two primes with an even sumEasyProbabilityCombinatoricsView →
- Unchanged after ten swingsEasyProbabilityBrainteasersView →
- When the clock hands next meetEasyBrainteasersView →
- Whether either bus comes soonEasyProbabilityRandom VariablesView →
- 25 horses, 5 tracksMediumBrainteasersView →
- A low medianMediumProbabilityRandom VariablesView →
- A prime sum on prime diceMediumProbabilityCombinatoricsView →
- An ace for everyoneMediumProbabilityCombinatoricsView →
- An ace in every pileMediumProbabilityCombinatoricsView →
- 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 →
- Cutting a cube into 27MediumBrainteasersView →
- Distributing candies with a capMediumCombinatoricsView →
- Emptying the cherry bowlMediumProbabilityCombinatoricsView →
- Exactly two aces in a bridge handMediumProbabilityCombinatoricsView →
- Expected fives before the first sixMediumProbabilityExpected ValueView →
- Expected flips for HTMediumExpected ValueStochastic ProcessesView →
- First HH on the tenth tossMediumProbabilityCombinatoricsView →
- First head strictly soonerMediumProbabilityRandom VariablesView →
- First to three of a kind in a rowMediumProbabilityExpected ValueView →
- Four fives before the first sixMediumProbabilityRandom VariablesView →
- 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 →
- Keeping two apartMediumCombinatoricsView →
- Kelly sizing on an asymmetric betMediumMarket Making & Betting GamesView →
- Largest circle in a triangleMediumBrainteasersView →
- Monty HallMediumProbabilityConditional Probability & ExpectationView →
- No face card before the two of heartsMediumProbabilityCombinatoricsView →
- One card each in casino warMediumProbabilityCombinatoricsView →
- One extra roll for more primesMediumProbabilityView →
- One hundred animals for a thousand dollarsMediumBrainteasersView →
- Pricing a digital from a call spreadMediumFinance & DerivativesView →
- Probability of three of a kindMediumProbabilityCombinatoricsView →
- Put–call parity with a dividendMediumFinance & DerivativesView →
- Red faces on a diced cubeMediumCombinatoricsExpected ValueView →
- Rolls to a six before a fiveMediumProbabilityExpected ValueView →
- The birthday problemMediumProbabilityCombinatoricsView →
- The largest unmakeable totalMediumCombinatoricsBrainteasersView →
- 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 →
- Two childrenMediumProbabilityConditional Probability & ExpectationView →
- Two guards, two doorsMediumBrainteasersView →
- Two ropes, 45 minutesMediumBrainteasersView →
- Width of a market under uncertaintyMediumMarket Making & Betting GamesStatisticsView →
- A coin thick enough to land on its sideHardProbabilityBrainteasersView →
- A small sub-triangleHardProbabilityRandom VariablesView →
- A three-way race to the first headHardProbabilityRandom VariablesView →
- A triangle of consecutive integersHardBrainteasersView →
- Expected chord between two random pointsHardProbabilityExpected ValueView →
- Expected chord intersectionsHardProbabilityCombinatoricsView →
- Expected largest of ten ballsHardCombinatoricsExpected ValueView →
- Expected local maxima in a shuffleHardProbabilityExpected ValueView →
- Guessing cards from a known pileHardProbabilityExpected ValueView →
- HTH before HHTHardProbabilityRandom VariablesView →
- Loops from tying noodlesHardProbabilityExpected ValueView →
- More coins, more heads?HardProbabilityCombinatoricsView →
- One of each face before the two of heartsHardProbabilityCombinatoricsView →
- Pairs left in the drawerHardCombinatoricsExpected ValueView →
- Pirate gameHardMarket Making & Betting GamesView →
- Runs of red and blue marblesHardCombinatoricsExpected ValueView →
- Shortest of three piecesHardProbabilityRandom VariablesView →
- Six pieces, none past a halfHardProbabilityRandom VariablesView →
- Smallest card sharing a boxHardProbabilityExpected ValueView →
- The boy born on a TuesdayHardProbabilityConditional Probability & ExpectationView →
- The drunk passengerHardProbabilityConditional Probability & ExpectationView →
- Twelve balls, one oddHardBrainteasersView →
- Two random segments overlappingHardProbabilityRandom VariablesView →
- Weighings for the odd beanHardBrainteasersView →
- Will the three-legged table stand?HardProbabilityView →
- A convexity gap by JensenMediumRandom VariablesExpected Value Premium
- Adverse selection in quotingMediumMarket Making & Betting Games Premium
- Backing out the informed flow from imbalanceMediumMarket Making & Betting Games Premium
- Cash-and-carry arbitrage profitMediumFinance & Derivatives Premium
- Conversion arbitrage from a parity violationMediumFinance & Derivatives Premium
- Delta of a straddleMediumFinance & Derivatives 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
- Implied dividend yield from a forwardMediumFinance & Derivatives Premium
- Inventory skewMediumMarket Making & Betting Games Premium
- Limit of x^100 over e^xMediumCalculus Premium
- Marking a seasoned forwardMediumFinance & Derivatives Premium
- Monty Hall with 100 doorsMediumProbabilityConditional Probability & Expectation Premium
- No-arbitrage call boundsMediumFinance & Derivatives Premium
- Optimal bid-ask placementMediumMarket Making & Betting Games Premium
- Pair at a round tableMediumCombinatorics Premium
- Reading order flowMediumMarket Making & Betting Games Premium
- Risk-neutral up probabilityMediumStochastic ProcessesFinance & Derivatives Premium
- Second-price auction strategyMediumProbabilityMarket Making & Betting Games Premium
- Short-straddle P&L when vol stays lowMediumFinance & Derivatives Premium
- The larger die shows a 4MediumProbabilityRandom Variables Premium
- The missing dollarMediumBrainteasers Premium
- Three mislabeled jarsMediumBrainteasers Premium
- Two trains and a flyMediumBrainteasers Premium
- Weighing 1 to 40MediumBrainteasers 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
- Ages from product and sumHardCombinatoricsBrainteasers Premium
- Best-of-seven underdogHardProbabilityRandom Variables Premium
- Blue-eyed islandersHardBrainteasers Premium
- Bluffing frequency in pokerHardProbabilityExpected Value Premium
- Counting two-pair handsHardProbabilityCombinatorics Premium
- Defective stack of coinsHardCombinatoricsBrainteasers Premium
- Deriving the first-price shading factorHardProbabilityExpected Value Premium
- Handshakes at a dinner partyHardCombinatoricsBrainteasers Premium
- Hats in a lineHardBrainteasers Premium
- Prisoners and the light switchHardBrainteasers Premium
- The all-pay auctionHardProbabilityExpected Value Premium
- The racing camelsHardBrainteasers Premium
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