Betting Game Rounds Interview Questions for Quant Researchers
The same round is marked differently depending on the seat you are interviewing for. This is the betting game rounds set as it applies to quant researchers.
137 questions, 98 of them free to practise right now. The split is 46 easy, 76 medium, 15 hard. The topics that come up most are probability (62), random variables (34), combinatorics (31), expected value (21).
- A factorial ratio that's a factorialEasyBrainteasersView →
- A guest list with a feudEasyCombinatoricsView →
- A specific sequence given three headsEasyProbabilityConditional Probability & ExpectationView →
- All four aces before any kingEasyProbabilityCombinatoricsView →
- American early exerciseEasyFinance & DerivativesView →
- Arranging colored balls in a lineEasyCombinatoricsView →
- Average distance on an intervalEasyRandom VariablesView →
- Beating three othersEasyProbabilityRandom VariablesView →
- Break-even move after a round tripEasyFinance & DerivativesView →
- Chebyshev on a concrete intervalEasyStatisticsView →
- Coin rolling around a coinEasyBrainteasersView →
- Counting flushesEasyProbabilityCombinatoricsView →
- Counting up-down walks to a targetEasyCombinatoricsView →
- Even count until the coin repeatsEasyProbabilityView →
- Even heads with one fair coinEasyProbabilityConditional Probability & ExpectationView →
- Even-size, non-empty subsetEasyProbabilityCombinatoricsView →
- Exactly one clears two-thirdsEasyProbabilityRandom VariablesView →
- Expected distance of a dart from centerEasyProbabilityRandom VariablesView →
- Expected flips for three headsEasyProbabilityExpected ValueView →
- Finding the number of blue socksEasyProbabilityCombinatoricsView →
- First tail within two flipsEasyProbabilityView →
- Handshakes at four couplesEasyCombinatoricsBrainteasersView →
- Landing two above the startEasyStochastic ProcessesView →
- Matching a max and a min at zeroEasyProbabilityView →
- Matching a uniform and an exponentialEasyRandom VariablesStatisticsView →
- Maximum of four uniforms in a bandEasyProbabilityRandom VariablesView →
- No heads in a random number of flipsEasyProbabilityRandom VariablesView →
- Origin between two pointsEasyProbabilityView →
- Paid the last roll before you stopEasyProbabilityExpected ValueView →
- Polygons with integer anglesEasyBrainteasersView →
- Profit from a favourable stopping gameEasyExpected ValueStochastic ProcessesView →
- Same side four timesEasyProbabilityView →
- Six heads from a random biased coinEasyConditional Probability & ExpectationRandom VariablesView →
- Spread of a two-card sumEasyRandom VariablesStatisticsView →
- The largest unmakeable postageEasyBrainteasersView →
- The top two cards form a pairEasyProbabilityCombinatoricsView →
- Three cube faces at a cornerEasyProbabilityCombinatoricsView →
- Three distinct dice, no sixEasyProbabilityCombinatoricsView →
- Three raids on the flockEasyBrainteasersView →
- Two numbers in different groupsEasyProbabilityCombinatoricsView →
- Two ordering constraints at onceEasyProbabilityCombinatoricsView →
- Two primes with an even sumEasyProbabilityCombinatoricsView →
- Units digit of a random productEasyProbabilityCombinatoricsView →
- Winning by a growing marginEasyProbabilityBrainteasersView →
- A ladder slipping in oilMediumCalculusView →
- A low medianMediumProbabilityRandom VariablesView →
- A prime sum on prime diceMediumProbabilityCombinatoricsView →
- A ratio of gamma valuesMediumRandom VariablesView →
- An ace for everyoneMediumProbabilityCombinatoricsView →
- Bertrand's boxMediumProbabilityConditional Probability & ExpectationView →
- Coin-pile NimMediumBrainteasersMarket Making & Betting GamesView →
- Dice payoff via WaldMediumExpected ValueStochastic ProcessesView →
- Enlarging a square orchardMediumBrainteasersView →
- Exactly two aces in a bridge handMediumProbabilityCombinatoricsView →
- Expected flips for HHTMediumExpected ValueStochastic ProcessesView →
- Expected gap between two normalsMediumRandom VariablesView →
- Expected value of the highest cardMediumProbabilityExpected ValueView →
- Fair outcome from a biased coinMediumProbabilityStatisticsView →
- First HH on the tenth tossMediumProbabilityCombinatoricsView →
- First consecutive repeatMediumProbabilityExpected ValueView →
- First to three of a kind in a rowMediumProbabilityExpected ValueView →
- Full housesMediumProbabilityCombinatoricsView →
- Grandmother's age from the digitsMediumBrainteasersView →
- Largest circle in a triangleMediumBrainteasersView →
- Matching floors of a logarithmMediumProbabilityRandom VariablesView →
- Maximum of x^(1/x)MediumCalculusView →
- Minimum of two exponentialsMediumProbabilityRandom VariablesView →
- No face card before the two of heartsMediumProbabilityCombinatoricsView →
- Position of the first aceMediumConditional Probability & ExpectationExpected ValueView →
- Product of two uniforms above a halfMediumProbabilityRandom VariablesView →
- Russian roulette, re-spunMediumProbabilityConditional Probability & ExpectationView →
- Simulate probability pMediumProbabilityProgramming & DSAView →
- Sum of independent PoissonsMediumProbabilityRandom VariablesView →
- Sum versus twice the differenceMediumProbabilityRandom VariablesView →
- The birthday problemMediumProbabilityCombinatoricsView →
- The last lightbulb to burn outMediumRandom VariablesExpected ValueView →
- The most balanced factorizationMediumBrainteasersView →
- The third shiny pennyMediumProbabilityCombinatoricsView →
- Three prisonersMediumProbabilityConditional Probability & ExpectationView →
- Two childrenMediumProbabilityConditional Probability & ExpectationView →
- Two guards, two doorsMediumBrainteasersView →
- Variance of a coin-gated payoffMediumRandom VariablesStatisticsView →
- Variance of hearts in eight cardsMediumCombinatoricsStatisticsView →
- Variance of the longer pieceMediumProbabilityRandom VariablesView →
- Waiting to see both facesMediumRandom VariablesStatisticsView →
- Which deck for two reds?MediumProbabilityView →
- Why divide by n−1?MediumStatisticsView →
- Covariance with a lognormal childHardConditional Probability & ExpectationRandom VariablesView →
- Cubes over the terminating denominatorsHardBrainteasersCalculusView →
- Expected chord between two random pointsHardProbabilityExpected ValueView →
- Largest pairwise-coprime subset sumHardCombinatoricsBrainteasersView →
- Pairs left in the drawerHardCombinatoricsExpected ValueView →
- Range beats the midpointHardProbabilityRandom VariablesView →
- Smallest card sharing a boxHardProbabilityExpected ValueView →
- Spread of a lognormal raised to the fourthHardRandom VariablesStatisticsView →
- The reroll advantage in a die duelHardProbabilityMarket Making & Betting GamesView →
- Two random segments overlappingHardProbabilityRandom VariablesView →
- Variance of the exponential of a gammaHardRandom VariablesStatisticsView →
- Three children, all boysEasyProbabilityConditional Probability & Expectation Premium
- Two searches, neither hitsEasyRandom Variables Premium
- Aces in a seven-card handMediumCombinatoricsExpected Value Premium
- An ace in the handMediumProbabilityCombinatorics Premium
- Area of a parallelogramMediumLinear Algebra Premium
- Backing out a margin-free probabilityMediumMarket Making & Betting Games Premium
- Balloon related ratesMediumCalculus Premium
- By parts over an infinite tailMediumCalculus Premium
- Counting straightsMediumProbabilityCombinatorics Premium
- Definite integral of x e^x on [0,1]MediumCalculus Premium
- Delta of a straddleMediumFinance & Derivatives Premium
- Eight coins, one lightMediumCombinatoricsBrainteasers Premium
- Expectation of e raised to a normalMediumRandom VariablesExpected Value Premium
- Expected minimum of two diceMediumRandom VariablesExpected Value Premium
- Expected steps to first reach a levelMediumProbabilityStochastic Processes Premium
- Expected sum given both evenMediumConditional Probability & ExpectationExpected Value Premium
- Expected value of a mean-reverting processMediumStochastic Processes Premium
- Implicit differentiation on a circleMediumCalculus Premium
- Inventory-skewed reservation priceMediumMarket Making & Betting Games Premium
- Larger eigenvalue of a 2×2MediumLinear Algebra Premium
- Limit of x ln x as x to 0+MediumCalculus Premium
- MLE at a boundaryMediumStatisticsCalculus Premium
- Minimum given the maximumMediumProbabilityConditional Probability & Expectation Premium
- Optimally pooling two estimatorsMediumRandom VariablesStatistics Premium
- Paths on a 4×3 gridMediumCombinatorics Premium
- Pricing a squared payoffMediumExpected ValueMarket Making & Betting Games Premium
- Rolls to see both a 1 and a 2MediumExpected Value Premium
- Scaling vega across maturitiesMediumFinance & Derivatives Premium
- The Markov propertyMediumStochastic Processes Premium
- The St. Petersburg paradoxMediumExpected ValueMarket Making & Betting Games Premium
- The gold chainMediumBrainteasers Premium
- The larger die shows a 4MediumProbabilityRandom Variables Premium
- Variance of a compound daily totalMediumRandom Variables Premium
- Variance of coins-per-die headsMediumRandom VariablesStatistics Premium
- Volatility smile meaningMediumStatisticsFinance & Derivatives Premium
- Expected flips for HHHHardExpected ValueStochastic Processes Premium
- Hats in a lineHardBrainteasers Premium
- Prisoners and the light switchHardBrainteasers Premium
- Ratio of two normalsHardRandom VariablesStatistics Premium
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