Trader Interview Questions
Trader interviews test how fast and how soundly you reason about uncertainty: probability and expected value, quick mental arithmetic, and market-making games where you quote a price and manage the risk you take on.
Trading interviews are less about what you know than how you decide. Expect probability and expected-value problems posed as dice, coins, cards or bets; fast arithmetic woven into larger questions; and quoting games where you post a two-sided market and update as information arrives.
Most processes open with a timed numerical screen before anyone speaks to you, so arithmetic speed is a prerequisite rather than a differentiator. The later rounds are where judgement is assessed: how you size risk, how you handle being picked off, and whether you can explain your reasoning while under time pressure.
413 questions tagged to Trader · 304 free to practise now.
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Trading interviews reward speed and decision quality. Build both with:
- 1 immediately before 2EasyProbabilityCombinatoricsView →
- A call's move under changing deltaEasyFinance & DerivativesView →
- A compound-interest limit in disguiseEasyCalculusView →
- A dice sum divisible by threeEasyProbabilityView →
- A die decides how many balls to drawEasyProbabilityExpected ValueView →
- A die with one face decrementedEasyProbabilityConditional Probability & ExpectationView →
- A dry weekend, assuming independenceEasyProbabilityView →
- A guest list with a feudEasyCombinatoricsView →
- A heart or a king given redEasyProbabilityConditional Probability & ExpectationView →
- A hundred days of compoundingEasyBrainteasersFinance & DerivativesView →
- A limit that hides a difference of logsEasyCalculusView →
- A majority of onesEasyCombinatoricsView →
- A mile with no windEasyBrainteasersView →
- A one-sided percentile cutoffEasyRandom VariablesStatisticsView →
- A perfect-power dice sumEasyProbabilityCombinatoricsView →
- A point is established in crapsEasyProbabilityView →
- A specific sequence given three headsEasyProbabilityConditional Probability & ExpectationView →
- A sum of four before a sum of twoEasyProbabilityView →
- A tail of a sum of normalsEasyRandom VariablesStatisticsView →
- A three given a sum divisible by threeEasyProbabilityConditional Probability & ExpectationView →
- Adjacent faces on two diceEasyProbabilityView →
- All four aces before any kingEasyProbabilityCombinatoricsView →
- All the squares on a chessboardEasyCombinatoricsBrainteasersView →
- All three land in the same halfEasyProbabilityRandom VariablesView →
- American early exerciseEasyFinance & DerivativesView →
- An even sum given a five appearsEasyProbabilityConditional Probability & ExpectationView →
- An old man's life in fractionsEasyBrainteasersView →
- Ants on a squareEasyProbabilityBrainteasersView →
- At least one 3 and at least one 5EasyProbabilityView →
- At least one blue and one greenEasyProbabilityCombinatoricsView →
- At least one matching pair in three cardsEasyProbabilityCombinatoricsView →
- At least two in the windowEasyProbabilityStochastic ProcessesView →
- Average speed over three lapsEasyBrainteasersView →
- Backing out a parlay's hidden leg probabilityEasyProbabilityMarket Making & Betting GamesView →
- Bacteria doubling on a clockEasyBrainteasersView →
- Beating a product of uniformsEasyProbabilityRandom VariablesView →
- Beating three othersEasyProbabilityRandom VariablesView →
- Both red among the top twoEasyProbabilityConditional Probability & ExpectationView →
- Break-even uninformed fraction against pick-offsEasyMarket Making & Betting GamesView →
- Bull spread net profitEasyFinance & DerivativesView →
- Butterfly spread maximum profitEasyFinance & DerivativesView →
- Capped exponential payoutEasyRandom VariablesExpected ValueView →
- Clock angle at 3:15EasyBrainteasersView →
- Coin count past two sigmaEasyRandom VariablesStatisticsView →
- Coin rolling around a coinEasyBrainteasersView →
- Color switches in a drawEasyRandom VariablesExpected ValueView →
- Committee with both sexesEasyCombinatoricsView →
- Comparing implied vols from two quotesEasyFinance & DerivativesView →
- Conditioning a uniform waitEasyProbabilityRandom VariablesView →
- Counting arithmetic triplesEasyProbabilityCombinatoricsView →
- Counting flushesEasyProbabilityCombinatoricsView →
- Counting legs at the meetupEasyBrainteasersView →
- Covered call profit when called awayEasyFinance & DerivativesView →
- Dots on distinct edgesEasyProbabilityCombinatoricsView →
- Drawing a matching pair of socksEasyProbabilityCombinatoricsView →
- Even count until the coin repeatsEasyProbabilityView →
- Even first die given a sum of eightEasyConditional Probability & ExpectationExpected ValueView →
- Even heads with one fair coinEasyProbabilityConditional Probability & ExpectationView →
- Even numbers, distinct digitsEasyCombinatoricsView →
- Even sum bigger than sevenEasyProbabilityView →
- Exactly one ace in three drawsEasyProbabilityCombinatoricsView →
- Exactly one head given at least oneEasyProbabilityConditional Probability & ExpectationView →
- Expected distance of a dart from centerEasyProbabilityRandom VariablesView →
- Expected flips after a losing startEasyProbabilityExpected ValueView →
- Expected flips for three headsEasyProbabilityExpected ValueView →
- Expected flips for two heads in a rowEasyProbabilityExpected ValueView →
- Expected profit on a scratch ticketEasyExpected ValueMarket Making & Betting GamesView →
- Expected sets for a favored playerEasyProbabilityExpected ValueView →
- Expected sum given a sixEasyProbabilityExpected ValueView →
- Face card or heartEasyProbabilityView →
- Face or ace given a red cardEasyProbabilityConditional Probability & ExpectationView →
- Fair mid on a dice product that voids on doublesEasyProbabilityExpected ValueView →
- Fair odds on a parlayEasyMarket Making & Betting GamesView →
- Fair price for the higher of two diceEasyExpected ValueMarket Making & Betting GamesView →
- Fair price of a dice-product gameEasyExpected ValueMarket Making & Betting GamesView →
- Fair price of a die that rerolls on a sixEasyExpected ValueMarket Making & Betting GamesView →
- Fair price of a heads-majority betEasyProbabilityExpected ValueView →
- Fair price of a high-faces-only dice sumEasyExpected ValueMarket Making & Betting GamesView →
- Fair price of a higher-die contractEasyExpected ValueMarket Making & Betting GamesView →
- Fair price of a sum-divisible-by-three betEasyExpected ValueMarket Making & Betting GamesView →
- Finding the light coinEasyBrainteasersView →
- Finding the number of blue socksEasyProbabilityCombinatoricsView →
- First success on an even trialEasyRandom VariablesExpected ValueView →
- First tail within two flipsEasyProbabilityView →
- Four dice summing to twentyEasyProbabilityCombinatoricsView →
- Gap between two dice, given they differEasyConditional Probability & ExpectationExpected ValueView →
- Guessing a number with high-low hintsEasyBrainteasersProgramming & DSAView →
- Hands directly oppositeEasyBrainteasersView →
- Handshakes across two groupsEasyCombinatoricsView →
- Handshakes at four couplesEasyCombinatoricsBrainteasersView →
- Heads given at least one headEasyExpected ValueView →
- Hopping rabbitEasyProbabilityCombinatoricsView →
- How many rolls to make the 6-bet favorableEasyProbabilityMarket Making & Betting GamesView →
- How many sixes on the die?EasyExpected ValueBrainteasersView →
- Keep it or draw againEasyProbabilityExpected ValueView →
- Keep the d8 or gamble on the d12?EasyProbabilityExpected ValueView →
- Landing in the ringEasyProbabilityView →
- Lapping on the trackEasyBrainteasersView →
- Matching a max and a min at zeroEasyProbabilityView →
- Matching chips, two drawsEasyCombinatoricsExpected ValueView →
- Matching head countsEasyProbabilityCombinatoricsView →
- Matching locks to keysEasyBrainteasersView →
- Maximum of four uniforms in a bandEasyProbabilityRandom VariablesView →
- Merging two round-robinsEasyCombinatoricsView →
- More heads than tails in six flipsEasyProbabilityView →
- Net P&L of a two-leg book from DV01EasyFinance & DerivativesView →
- Normalizing a tilted densityEasyRandom VariablesCalculusView →
- One blue die matches the redEasyProbabilityView →
- One re-roll allowedEasyExpected ValueView →
- Origin between two pointsEasyProbabilityView →
- Paid the last roll before you stopEasyProbabilityExpected ValueView →
- Pairs who swap hatsEasyRandom VariablesExpected ValueView →
- Present value of a deferred growing perpetuityEasyFinance & DerivativesView →
- Probability two dice sum to a primeEasyProbabilityCombinatoricsView →
- Product divisible by fourEasyProbabilityView →
- Profit from a favourable stopping gameEasyExpected ValueStochastic ProcessesView →
- Rate of change of a triangle's perimeterEasyCalculusView →
- Reflipping for valueEasyProbabilityExpected ValueView →
- Repeated digit on a plateEasyCombinatoricsView →
- Repricing a bond after a yield jumpEasyFinance & DerivativesView →
- Rolling a die to size the next dieEasyConditional Probability & ExpectationExpected ValueView →
- Rolling until a high face, at a costEasyProbabilityExpected ValueView →
- Rolling until you match the first rollEasyProbabilityExpected ValueView →
- Rolls until an even sumEasyProbabilityExpected ValueView →
- Rope lifted off the EarthEasyBrainteasersView →
- Same side four timesEasyProbabilityView →
- Seating with a gapEasyCombinatoricsView →
- Second roll beats the firstEasyProbabilityView →
- Settlement on a pay-fixed FRAEasyFinance & DerivativesView →
- Six heads from a random biased coinEasyConditional Probability & ExpectationRandom VariablesView →
- Sizing a put–call parity mispricingEasyFinance & DerivativesView →
- Smallest multiple of 77 past 700000EasyBrainteasersView →
- Socks for a matching trioEasyCombinatoricsBrainteasersView →
- Spread of a coin-flip payoffEasyRandom VariablesStatisticsView →
- Squared payout on even facesEasyRandom VariablesExpected ValueView →
- Stop at the first girlEasyProbabilityView →
- Streak then a head countEasyProbabilityConditional Probability & ExpectationView →
- Summing n plus one over two to the nEasyCalculusView →
- Tangent-minus-sine third-order limitEasyCalculusView →
- The added babyEasyProbabilityConditional Probability & ExpectationView →
- The clock that runs fastEasyBrainteasersView →
- The costliest roulette bet on the tableEasyProbabilityExpected ValueView →
- The higher die shows a fourEasyProbabilityView →
- The price of a triangular gardenEasyBrainteasersView →
- The second draw is redEasyProbabilityConditional Probability & ExpectationView →
- The straddle's upper breakevenEasyFinance & DerivativesView →
- The top two cards form a pairEasyProbabilityCombinatoricsView →
- The weight of the fishEasyBrainteasersView →
- Three cube faces at a cornerEasyProbabilityCombinatoricsView →
- Three dice, increasingEasyProbabilityCombinatoricsView →
- Three distinct dice, no sixEasyProbabilityCombinatoricsView →
- Three primes in six rollsEasyProbabilityView →
- Three raids on the flockEasyBrainteasersView →
- Three switches, one bulbEasyBrainteasersView →
- Three-dice total given the firstEasyProbabilityConditional Probability & ExpectationView →
- Timing the revolverEasyBrainteasersView →
- Top three dice summing to eighteenEasyProbabilityCombinatoricsView →
- Triangles across two linesEasyCombinatoricsView →
- Two mismatched diceEasyProbabilityView →
- Two numbers in different groupsEasyProbabilityCombinatoricsView →
- Two primes with an even sumEasyProbabilityCombinatoricsView →
- Unchanged after ten swingsEasyProbabilityBrainteasersView →
- Value of the put insurance in a crashEasyFinance & DerivativesView →
- Valuing a level perpetuityEasyFinance & DerivativesView →
- Variance of a reciprocal uniformEasyRandom VariablesStatisticsView →
- Variance of a union indicatorEasyRandom VariablesStatisticsView →
- Variance of a weighted dice combinationEasyRandom VariablesStatisticsView →
- Ways to reach deuceEasyProbabilityCombinatoricsView →
- When the clock hands next meetEasyBrainteasersView →
- Where the maximum landsEasyRandom VariablesStatisticsView →
- Whether either bus comes soonEasyProbabilityRandom VariablesView →
- Which side holds the heavy weightEasyProbabilityCombinatoricsView →
- Which side of a two-sided marketEasyExpected ValueMarket Making & Betting GamesView →
- Who wins the first head?EasyProbabilityView →
- Winning by a growing marginEasyProbabilityBrainteasersView →
- 25 horses, 5 tracksMediumBrainteasersView →
- A 5 before a 7MediumProbabilityView →
- A low medianMediumProbabilityRandom VariablesView →
- A prime sum on prime diceMediumProbabilityCombinatoricsView →
- An ace for everyoneMediumProbabilityCombinatoricsView →
- An ace in every pileMediumProbabilityCombinatoricsView →
- Arbitraging a coupon bond against zerosMediumFinance & DerivativesView →
- Balancing six- and eight-sided diceMediumExpected ValueBrainteasersView →
- Bertrand's boxMediumProbabilityConditional Probability & ExpectationView →
- Boy–girl neighbors in a lineMediumCombinatoricsExpected ValueView →
- Bridge and torchMediumBrainteasersView →
- Capturing the spreadMediumMarket Making & Betting GamesView →
- Cash out or bustMediumProbabilityExpected ValueView →
- Cats and dogs on the streetMediumBrainteasersView →
- Chords that don't crossMediumProbabilityCombinatoricsView →
- Clock hands overlapMediumBrainteasersView →
- Coin sets the number of dice rollsMediumProbabilityConditional Probability & ExpectationView →
- Coin-pile NimMediumBrainteasersMarket Making & Betting GamesView →
- Cutting a cube into 27MediumBrainteasersView →
- Dice game, up to three rollsMediumExpected ValueStochastic ProcessesView →
- Dice payoff via WaldMediumExpected ValueStochastic ProcessesView →
- Distributing candies with a capMediumCombinatoricsView →
- Eight dice summing to twelveMediumProbabilityCombinatoricsView →
- Emptying the cherry bowlMediumProbabilityCombinatoricsView →
- Exactly two aces in a bridge handMediumProbabilityCombinatoricsView →
- Expected fives before the first sixMediumProbabilityExpected ValueView →
- Expected flips for HHTMediumExpected ValueStochastic ProcessesView →
- Expected flips for HTMediumExpected ValueStochastic ProcessesView →
- Expected gap on 30-sided diceMediumProbabilityExpected ValueView →
- Expected maximum of two diceMediumRandom VariablesExpected ValueView →
- Expected median of three diceMediumProbabilityExpected ValueView →
- Expected value of the highest cardMediumProbabilityExpected ValueView →
- Filling a pool with the drain openMediumBrainteasersView →
- First HH on the tenth tossMediumProbabilityCombinatoricsView →
- First consecutive repeatMediumProbabilityExpected ValueView →
- First head on an even flipMediumProbabilityView →
- 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 →
- Full housesMediumProbabilityCombinatoricsView →
- Gambler's ruinMediumProbabilityStochastic ProcessesView →
- Gambler's ruin (unfair)MediumProbabilityStochastic ProcessesView →
- Gamma-scalping a round tripMediumFinance & DerivativesView →
- Grandmother's age from the digitsMediumBrainteasersView →
- Guess 2/3 of the averageMediumMarket Making & Betting GamesView →
- Heads given the ends differMediumConditional Probability & ExpectationExpected ValueView →
- Implied vol from a straddle quoteMediumFinance & DerivativesView →
- Keeping two apartMediumCombinatoricsView →
- Kelly sizing on an asymmetric betMediumMarket Making & Betting GamesView →
- Largest circle in a triangleMediumBrainteasersView →
- Locking a profit by hedging after the odds moveMediumExpected ValueMarket Making & Betting GamesView →
- Matching penniesMediumMarket Making & Betting GamesView →
- 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 →
- Pay to play with a capMediumExpected ValueMarket Making & Betting GamesView →
- Pricing a digital from a call spreadMediumFinance & DerivativesView →
- Pricing the higher of two diceMediumExpected ValueMarket Making & Betting GamesView →
- Probability of three of a kindMediumProbabilityCombinatoricsView →
- Product of two uniforms above a halfMediumProbabilityRandom VariablesView →
- Profit on a bull call spreadMediumFinance & DerivativesView →
- Profit on a risk reversalMediumFinance & DerivativesView →
- Put–call parity with a dividendMediumFinance & DerivativesView →
- Red faces on a diced cubeMediumCombinatoricsExpected ValueView →
- Rehedging a book after a moveMediumFinance & DerivativesView →
- Rolling a 5-sided die to reach fiveMediumProbabilityExpected ValueView →
- Rolling until two rolls differ by twoMediumProbabilityExpected ValueView →
- Rolls to a six before a fiveMediumProbabilityExpected ValueView →
- Russian roulette, re-spunMediumProbabilityConditional Probability & ExpectationView →
- Sharpe ratio in a marble gameMediumExpected ValueStatisticsView →
- Sizing a cross-book arbitrage lockMediumMarket Making & Betting GamesView →
- Sum of multiples of 3 or 5MediumBrainteasersView →
- Sum versus twice the differenceMediumProbabilityRandom VariablesView →
- Tennis: two sets or three?MediumProbabilityView →
- The birthday problemMediumProbabilityCombinatoricsView →
- The bridge crossingMediumBrainteasersView →
- The largest unmakeable totalMediumCombinatoricsBrainteasersView →
- The last lightbulb to burn outMediumRandom VariablesExpected ValueView →
- The profitable range of a short strangleMediumFinance & DerivativesView →
- The same number of tailsMediumProbabilityCombinatoricsView →
- The third shiny pennyMediumProbabilityCombinatoricsView →
- The two-headed coinMediumProbabilityConditional Probability & ExpectationView →
- Three dots on a squareMediumProbabilityCombinatoricsView →
- Three ones in a rowMediumProbabilityCombinatoricsView →
- Three prisonersMediumProbabilityConditional Probability & ExpectationView →
- Three rolls, keep the lastMediumExpected ValueView →
- Three-jug measuringMediumBrainteasersView →
- Two childrenMediumProbabilityConditional Probability & ExpectationView →
- Two guards, two doorsMediumBrainteasersView →
- Two ropes, 45 minutesMediumBrainteasersView →
- Variance of a coin-gated payoffMediumRandom VariablesStatisticsView →
- Variance of the longer pieceMediumProbabilityRandom VariablesView →
- Waiting to see both facesMediumRandom VariablesStatisticsView →
- When time decay reversesMediumFinance & DerivativesView →
- Which deck for two reds?MediumProbabilityView →
- Width of a market under uncertaintyMediumMarket Making & Betting GamesStatisticsView →
- Winner's curseMediumMarket Making & Betting GamesView →
- 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 →
- Rolling until two rolls are closeHardProbabilityExpected ValueView →
- Rounds to see all faces with two diceHardProbabilityExpected ValueView →
- 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 →
- The reroll advantage in a die duelHardProbabilityMarket Making & Betting GamesView →
- Twelve balls, one oddHardBrainteasersView →
- Two random segments overlappingHardProbabilityRandom VariablesView →
- Weighings for the odd beanHardBrainteasersView →
- Will the three-legged table stand?HardProbabilityView →
- Both sixes given at least oneEasyProbabilityConditional Probability & Expectation Premium
- Return speed for a target averageEasyBrainteasers Premium
- The first die beats the secondEasyProbabilityConditional Probability & Expectation Premium
- A convexity gap by JensenMediumRandom VariablesExpected Value Premium
- A cube root by tangent lineMediumCalculus Premium
- Absorption probability on a lineMediumProbabilityStochastic Processes Premium
- Aces in a seven-card handMediumCombinatoricsExpected Value Premium
- Adverse selection in quotingMediumMarket Making & Betting Games Premium
- An ace in the handMediumProbabilityCombinatorics Premium
- Ants on a stickMediumBrainteasers Premium
- Arbitraging a mispriced forward loanMediumFinance & Derivatives Premium
- At least two sixes in five rollsMediumProbabilityRandom Variables Premium
- Backing out a correlationMediumRandom VariablesStatistics Premium
- Backing out a margin-free probabilityMediumMarket Making & Betting Games Premium
- Backing out the informed flow from imbalanceMediumMarket Making & Betting Games Premium
- Balloon related ratesMediumCalculus Premium
- Both even given an even sumMediumProbabilityConditional Probability & Expectation Premium
- Break-even fill quality for a resting bidMediumMarket Making & Betting Games Premium
- Break-even half-spread from toxic flowMediumProbabilityExpected Value Premium
- Break-even half-spread under adverse selectionMediumExpected ValueMarket Making & Betting Games Premium
- Buyer count in a thinned arrival streamMediumProbabilityStochastic Processes Premium
- Calendar spread intuitionMediumFinance & Derivatives Premium
- Cash-and-carry arbitrageMediumFinance & Derivatives Premium
- Cash-and-carry arbitrage profitMediumFinance & Derivatives Premium
- Conversion arbitrage from a parity violationMediumFinance & Derivatives Premium
- Correlation of overlapping sumsMediumRandom VariablesStatistics Premium
- Counting straightsMediumProbabilityCombinatorics Premium
- Cutting a cubeMediumBrainteasers Premium
- Delta of a straddleMediumFinance & Derivatives Premium
- Delta-hedge a two-leg option bookMediumFinance & Derivatives Premium
- Eight coins, one lightMediumCombinatoricsBrainteasers Premium
- Expected absolute difference of two diceMediumExpected Value Premium
- Expected maximum of three diceMediumRandom VariablesExpected Value Premium
- Expected minimum of two diceMediumRandom VariablesExpected Value Premium
- Expected revenue of a Vickrey auctionMediumProbabilityExpected Value Premium
- Fair price of a die with one re-rollMediumExpected ValueMarket Making & Betting Games Premium
- Fair value after an informed buyMediumConditional Probability & ExpectationMarket Making & Betting Games Premium
- Fair value after two informed buysMediumMarket Making & Betting Games Premium
- First to roll a sixMediumProbability Premium
- Five distinct ranksMediumProbabilityCombinatorics Premium
- Forward vs. futures priceMediumFinance & Derivatives Premium
- Four distinct birth monthsMediumProbabilityCombinatorics Premium
- Frog in the wellMediumBrainteasers 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
- Inventory-skewed reservation priceMediumMarket Making & Betting Games Premium
- Large sum given a sixMediumProbabilityConditional Probability & Expectation Premium
- Limit of x ln x as x to 0+MediumCalculus Premium
- Limit of x^100 over e^xMediumCalculus Premium
- MLE at a boundaryMediumStatisticsCalculus Premium
- Marking a seasoned forwardMediumFinance & Derivatives Premium
- Maximum loss on a collarMediumFinance & Derivatives Premium
- Minimum defense frequency against a betMediumProbabilityExpected Value Premium
- Monty Hall with 100 doorsMediumProbabilityConditional Probability & Expectation Premium
- Neither die exceeds fourMediumProbabilityRandom Variables Premium
- No-arbitrage call boundsMediumFinance & Derivatives Premium
- Optimal bid-ask placementMediumMarket Making & Betting Games Premium
- Optimal quote widthMediumMarket Making & Betting Games Premium
- Pair at a round tableMediumCombinatorics Premium
- Paths dodging a closed intersectionMediumCombinatorics Premium
- Position of the first spadeMediumCombinatoricsExpected Value Premium
- Pricing a coupon bond off the spot curveMediumFinance & Derivatives Premium
- Pricing a squared payoffMediumExpected ValueMarket Making & Betting Games Premium
- Prime sumMediumProbability Premium
- Put–call parity arbitrageMediumFinance & Derivatives Premium
- Rare-event Poisson approximationMediumProbabilityRandom Variables Premium
- Reaching the target before ruinMediumStochastic Processes Premium
- Reading order flowMediumMarket Making & Betting Games Premium
- Right angles in 12 hoursMediumBrainteasers Premium
- Risk-neutral up probabilityMediumStochastic ProcessesFinance & Derivatives Premium
- Rolls to see both a 1 and a 2MediumExpected Value Premium
- Scaling vega across maturitiesMediumFinance & Derivatives Premium
- Second-price auction strategyMediumProbabilityMarket Making & Betting Games Premium
- Short-straddle P&L when vol stays lowMediumFinance & Derivatives Premium
- Sum of 10 with three diceMediumProbabilityCombinatorics Premium
- The St. Petersburg paradoxMediumExpected ValueMarket Making & Betting Games Premium
- The gold chainMediumBrainteasers Premium
- The larger die shows a 4MediumProbabilityRandom Variables Premium
- The missing dollarMediumBrainteasers Premium
- The pile that always leaves oneMediumBrainteasers Premium
- The winner's curse in a bid warMediumMarket Making & Betting Games Premium
- Three mislabeled jarsMediumBrainteasers Premium
- Two face cardsMediumProbabilityCombinatorics Premium
- Two reds in a row from a shrinking urnMediumProbabilityConditional Probability & Expectation Premium
- Two trains and a flyMediumBrainteasers Premium
- Two uniforms summing below a halfMediumProbabilityRandom Variables Premium
- Two uniforms summing past 1.5MediumProbabilityCalculus Premium
- Two-sided p-value of a mean testMediumStatistics Premium
- Volatility smile meaningMediumStatisticsFinance & Derivatives Premium
- Weighing 1 to 40MediumBrainteasers Premium
- Which coin produced two heads?MediumProbabilityConditional Probability & Expectation Premium
- Which desk books the larger dayMediumRandom VariablesStatistics 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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Start practising freeFrequently asked questions
- What do trader interviews actually test?
- Probability, expected value, fast mental arithmetic, and trading judgement - usually through betting games and two-sided quoting rather than formal questions. Interviewers care about your reasoning as much as your final number.
- Do I need a finance degree to interview for a trading role?
- Usually not. Most desks test probabilistic reasoning and decision-making rather than finance knowledge, so backgrounds in maths, physics, computer science and engineering are common.
- How do I prepare for the numerical screen?
- Practise no-calculator arithmetic under a timer until it is automatic. It is a pure skill and it responds quickly to daily reps - and clearing it is what unlocks the rest of the process.