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.
80 questions, 45 of them free to practise right now. The split is 4 easy, 41 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 →
- Bertrand's boxMediumProbabilityConditional Probability & ExpectationView →
- Correlation of two face-countsMediumProbabilityStatisticsView →
- Expected square of a random unit complex numberMediumProbabilityRandom VariablesView →
- Four points on a semicircleMediumProbabilityView →
- Four times as long to the first headMediumProbabilityRandom VariablesView →
- Gambler's ruin (unfair)MediumProbabilityStochastic ProcessesView →
- Mean over variance of a nested uniformMediumProbabilityRandom VariablesView →
- Minimum of two exponentialsMediumProbabilityRandom VariablesView →
- Monty HallMediumProbabilityConditional Probability & ExpectationView →
- One random subset inside anotherMediumProbabilityCombinatoricsView →
- Probability of three of a kindMediumProbabilityCombinatoricsView →
- Russian roulette, re-spunMediumProbabilityConditional Probability & ExpectationView →
- Smallest simulable probabilityMediumProbabilityBrainteasersView →
- Ten dice, sum divisible by sixMediumProbabilityCombinatoricsView →
- The die that makes sums uniformMediumProbabilityCombinatoricsView →
- The two-headed coinMediumProbabilityConditional Probability & ExpectationView →
- Tuning an exponential random walkMediumProbabilityStochastic ProcessesView →
- Units digit of a random powerMediumProbabilityCombinatoricsView →
- 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 →
- Counting fives before a four and a sixHardProbabilityRandom VariablesView →
- Everyone gets one of eachHardProbabilityCombinatoricsView →
- 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 →
- Seven seated in age orderHardProbabilityCombinatoricsView →
- 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 →
- 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 →
- Absorption probability on a lineMediumProbabilityStochastic Processes Premium
- An ace in the handMediumProbabilityCombinatorics Premium
- At least two sixes in five rollsMediumProbabilityRandom Variables Premium
- Counting straightsMediumProbabilityCombinatorics Premium
- Distinct birthdays representedMediumProbabilityExpected Value Premium
- First to roll a sixMediumProbability Premium
- Five distinct ranksMediumProbabilityCombinatorics Premium
- Fourth moment of a shifted normalMediumProbabilityRandom Variables Premium
- Joint default rangeMediumProbabilityFinance & Derivatives Premium
- Monty Hall with 100 doorsMediumProbabilityConditional Probability & Expectation Premium
- No two heads in a rowMediumProbabilityCombinatorics Premium
- Spam filterMediumProbabilityConditional Probability & Expectation Premium
- Stationary distribution of a two-state chainMediumProbabilityStochastic Processes Premium
- The cab problemMediumProbabilityConditional Probability & Expectation Premium
- The two black aces, side by sideMediumProbabilityCombinatorics Premium
- Two face cardsMediumProbabilityCombinatorics Premium
- Two positive testsMediumProbabilityConditional Probability & Expectation Premium
- Variance of a stochastic integralMediumProbabilityStochastic Processes Premium
- Variance-minimizing hedgeMediumProbabilityStatistics Premium
- Which coin produced two heads?MediumProbabilityConditional Probability & Expectation Premium
- A void suit in bridgeHardProbabilityCombinatorics Premium
- Amoeba extinctionHardProbabilityStochastic Processes Premium
- Best-of-seven underdogHardProbabilityRandom Variables Premium
- Bluffing frequency in pokerHardProbabilityExpected Value Premium
- Branching process extinction (critical)HardProbabilityStochastic Processes Premium
- Branching process extinction (supercritical)HardProbabilityStochastic Processes Premium
- Connecting noodlesHardProbabilityExpected Value Premium
- Counting two-pair handsHardProbabilityCombinatorics Premium
- Deriving the first-price shading factorHardProbabilityExpected Value Premium
- Exactly one pairHardProbabilityCombinatorics Premium
- Prisoners and the boxesHardProbabilityBrainteasers Premium
- Reflected paths ending below the levelHardProbabilityStochastic Processes Premium
- The all-pay auctionHardProbabilityExpected Value Premium
- Triangle from three independent sticksHardProbabilityCalculus Premium
- Triangle that swallows the centerHardProbabilityBrainteasers Premium
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