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, all free to practise. 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 children, all boysEasyProbabilityConditional Probability & ExpectationView →
- 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 →
- Two searches, neither hitsEasyRandom VariablesView →
- 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 →
- Aces in a seven-card handMediumCombinatoricsExpected ValueView →
- An ace for everyoneMediumProbabilityCombinatoricsView →
- An ace in the handMediumProbabilityCombinatoricsView →
- Area of a parallelogramMediumLinear AlgebraView →
- Backing out a margin-free probabilityMediumMarket Making & Betting GamesView →
- Balloon related ratesMediumCalculusView →
- Bertrand's boxMediumProbabilityConditional Probability & ExpectationView →
- By parts over an infinite tailMediumCalculusView →
- Coin-pile NimMediumBrainteasersMarket Making & Betting GamesView →
- Counting straightsMediumProbabilityCombinatoricsView →
- Definite integral of x e^x on [0,1]MediumCalculusView →
- Delta of a straddleMediumFinance & DerivativesView →
- Dice payoff via WaldMediumExpected ValueStochastic ProcessesView →
- Eight coins, one lightMediumCombinatoricsBrainteasersView →
- Enlarging a square orchardMediumBrainteasersView →
- Exactly two aces in a bridge handMediumProbabilityCombinatoricsView →
- Expectation of e raised to a normalMediumRandom VariablesExpected ValueView →
- Expected flips for HHTMediumExpected ValueStochastic ProcessesView →
- Expected gap between two normalsMediumRandom VariablesView →
- Expected minimum of two diceMediumRandom VariablesExpected ValueView →
- Expected steps to first reach a levelMediumProbabilityStochastic ProcessesView →
- Expected sum given both evenMediumConditional Probability & ExpectationExpected ValueView →
- Expected value of a mean-reverting processMediumStochastic ProcessesView →
- 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 →
- Implicit differentiation on a circleMediumCalculusView →
- Inventory-skewed reservation priceMediumMarket Making & Betting GamesView →
- Larger eigenvalue of a 2×2MediumLinear AlgebraView →
- Largest circle in a triangleMediumBrainteasersView →
- Limit of x ln x as x to 0+MediumCalculusView →
- MLE at a boundaryMediumStatisticsCalculusView →
- Matching floors of a logarithmMediumProbabilityRandom VariablesView →
- Maximum of x^(1/x)MediumCalculusView →
- Minimum given the maximumMediumProbabilityConditional Probability & ExpectationView →
- Minimum of two exponentialsMediumProbabilityRandom VariablesView →
- No face card before the two of heartsMediumProbabilityCombinatoricsView →
- Optimally pooling two estimatorsMediumRandom VariablesStatisticsView →
- Paths on a 4×3 gridMediumCombinatoricsView →
- Position of the first aceMediumConditional Probability & ExpectationExpected ValueView →
- Pricing a squared payoffMediumExpected ValueMarket Making & Betting GamesView →
- Product of two uniforms above a halfMediumProbabilityRandom VariablesView →
- Rolls to see both a 1 and a 2MediumExpected ValueView →
- Russian roulette, re-spunMediumProbabilityConditional Probability & ExpectationView →
- Scaling vega across maturitiesMediumFinance & DerivativesView →
- Simulate probability pMediumProbabilityProgramming & DSAView →
- Sum of independent PoissonsMediumProbabilityRandom VariablesView →
- Sum versus twice the differenceMediumProbabilityRandom VariablesView →
- The Markov propertyMediumStochastic ProcessesView →
- The St. Petersburg paradoxMediumExpected ValueMarket Making & Betting GamesView →
- The birthday problemMediumProbabilityCombinatoricsView →
- The gold chainMediumBrainteasersView →
- The larger die shows a 4 - what about the smaller?MediumProbabilityRandom VariablesView →
- 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 a compound daily totalMediumRandom VariablesView →
- Variance of coins-per-die headsMediumRandom VariablesStatisticsView →
- Variance of hearts in eight cardsMediumCombinatoricsStatisticsView →
- Variance of the longer pieceMediumProbabilityRandom VariablesView →
- Volatility smile meaningMediumStatisticsFinance & DerivativesView →
- 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 →
- Expected flips for HHHHardExpected ValueStochastic ProcessesView →
- Hats in a lineHardBrainteasersView →
- Largest pairwise-coprime subset sumHardCombinatoricsBrainteasersView →
- Pairs left in the drawerHardCombinatoricsExpected ValueView →
- Prisoners and the light switchHardBrainteasersView →
- Range beats the midpointHardProbabilityRandom VariablesView →
- Ratio of two normalsHardRandom VariablesStatisticsView →
- 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 →
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