Probability Questions for Hedge Fund Quant Interviews
A hedge fund quant round does not test probability the way a textbook does. This set is the overlap - the probability questions that actually turn up in this format.
81 questions, all free to practise. The split is 4 easy, 42 medium, 35 hard.
- A divisor of a power of tenEasyProbabilityCombinatoricsView →
- Determinant after antisymmetrizingEasyProbabilityLinear AlgebraView →
- The added babyEasyProbabilityConditional Probability & ExpectationView →
- Upper bound on a dry weekendEasyProbabilityView →
- Absorption probability on a lineMediumProbabilityStochastic ProcessesView →
- An ace in the handMediumProbabilityCombinatoricsView →
- At least two sixes in five rollsMediumProbabilityRandom VariablesView →
- Bertrand's boxMediumProbabilityConditional Probability & ExpectationView →
- Correlation of two face-countsMediumProbabilityStatisticsView →
- Counting straightsMediumProbabilityCombinatoricsView →
- Distinct birthdays representedMediumProbabilityExpected ValueView →
- Expected square of a random unit complex numberMediumProbabilityRandom VariablesView →
- First to roll a sixMediumProbabilityView →
- Five distinct ranksMediumProbabilityCombinatoricsView →
- Four points on a semicircleMediumProbabilityView →
- Four times as long to the first headMediumProbabilityRandom VariablesView →
- Fourth moment of a shifted normalMediumProbabilityRandom VariablesView →
- Gambler's ruin (unfair)MediumProbabilityStochastic ProcessesView →
- Joint default rangeMediumProbabilityFinance & DerivativesView →
- Mean over variance of a nested uniformMediumProbabilityRandom VariablesView →
- Minimum of two exponentialsMediumProbabilityRandom VariablesView →
- Monty HallMediumProbabilityConditional Probability & ExpectationView →
- Monty Hall with 100 doorsMediumProbabilityConditional Probability & ExpectationView →
- No two heads in a rowMediumProbabilityCombinatoricsView →
- One random subset inside anotherMediumProbabilityCombinatoricsView →
- Painted cube, one face showingMediumProbabilityBrainteasersView →
- Probability of three of a kindMediumProbabilityCombinatoricsView →
- Russian roulette, re-spunMediumProbabilityConditional Probability & ExpectationView →
- Smallest simulable probabilityMediumProbabilityBrainteasersView →
- Spam filterMediumProbabilityConditional Probability & ExpectationView →
- Stationary distribution of a two-state chainMediumProbabilityStochastic ProcessesView →
- Ten dice, sum divisible by sixMediumProbabilityCombinatoricsView →
- The cab problemMediumProbabilityConditional Probability & ExpectationView →
- The die that makes sums uniformMediumProbabilityCombinatoricsView →
- The two black aces, side by sideMediumProbabilityCombinatoricsView →
- The two-headed coinMediumProbabilityConditional Probability & ExpectationView →
- Tuning an exponential random walkMediumProbabilityStochastic ProcessesView →
- Two face cardsMediumProbabilityCombinatoricsView →
- Two positive testsMediumProbabilityConditional Probability & ExpectationView →
- Units digit of a random powerMediumProbabilityCombinatoricsView →
- Variance of a stochastic integralMediumProbabilityStochastic ProcessesView →
- Variance-minimizing hedgeMediumProbabilityStatisticsView →
- Which coin produced two heads?MediumProbabilityConditional Probability & ExpectationView →
- Whose draw is larger?MediumProbabilityView →
- Will they meet?MediumProbabilityView →
- X positive given the sum is positiveMediumProbabilityRandom VariablesView →
- A half-plane, given positiveHardProbabilityRandom VariablesView →
- A second red ball from the same urnHardProbabilityConditional Probability & ExpectationView →
- A three-way race to the first headHardProbabilityRandom VariablesView →
- A void suit in bridgeHardProbabilityCombinatoricsView →
- Amoeba extinctionHardProbabilityStochastic ProcessesView →
- Best-of-seven underdogHardProbabilityRandom VariablesView →
- Bluffing frequency in pokerHardProbabilityExpected ValueView →
- Branching process extinction (critical)HardProbabilityStochastic ProcessesView →
- Branching process extinction (supercritical)HardProbabilityStochastic ProcessesView →
- Connecting noodlesHardProbabilityExpected ValueView →
- Counting fives before a four and a sixHardProbabilityRandom VariablesView →
- Counting two-pair handsHardProbabilityCombinatoricsView →
- Deriving the first-price shading factorHardProbabilityExpected ValueView →
- Everyone gets one of eachHardProbabilityCombinatoricsView →
- Exactly one pairHardProbabilityCombinatoricsView →
- Filling three bins from a coin flipHardProbabilityCombinatoricsView →
- Guessing cards from a known pileHardProbabilityExpected ValueView →
- HTH before HHTHardProbabilityRandom VariablesView →
- More coins, more heads?HardProbabilityCombinatoricsView →
- One of each face before the two of heartsHardProbabilityCombinatoricsView →
- Prisoners and the boxesHardProbabilityBrainteasersView →
- Reflected paths ending below the levelHardProbabilityStochastic ProcessesView →
- Seven seated in age orderHardProbabilityCombinatoricsView →
- The all-pay auctionHardProbabilityExpected ValueView →
- The boy born on a TuesdayHardProbabilityConditional Probability & ExpectationView →
- The drunk passengerHardProbabilityConditional Probability & ExpectationView →
- The frog's single leftward hopHardProbabilityCombinatoricsView →
- The leap-frog's favorite landing spotHardProbabilityStochastic ProcessesView →
- Three first-heads in non-decreasing orderHardProbabilityRandom VariablesView →
- Triangle from three independent sticksHardProbabilityCalculusView →
- Triangle that swallows the centerHardProbabilityBrainteasersView →
- Two Brownian values, both positiveHardProbabilityStochastic ProcessesView →
- Two random subsets that overlapHardProbabilityCombinatoricsView →
- When a power of the process is a submartingaleHardProbabilityStochastic ProcessesView →
- When a uniform ratio rounds to a squareHardProbabilityRandom VariablesView →
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