Probability Questions for Systematic & Data-Driven Trading Interviews
A systematic & data-driven trading 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.
69 questions, all free to practise. The split is 10 easy, 21 medium, 38 hard.
- An even palindromeEasyProbabilityCombinatoricsView →
- Determinant after antisymmetrizingEasyProbabilityLinear AlgebraView →
- Even-size, non-empty subsetEasyProbabilityCombinatoricsView →
- Exactly one clears two-thirdsEasyProbabilityRandom VariablesView →
- Maximum of four uniforms in a bandEasyProbabilityRandom VariablesView →
- No heads in a random number of flipsEasyProbabilityRandom VariablesView →
- Sharing your weekday of birthEasyProbabilityView →
- Two ordering constraints at onceEasyProbabilityCombinatoricsView →
- Upper bound on a dry weekendEasyProbabilityView →
- Where the arrivals landEasyProbabilityStochastic ProcessesView →
- A cube ending in elevenMediumProbabilityBrainteasersView →
- Arrivals before the rival streamMediumProbabilityStochastic ProcessesView →
- Correlation of two face-countsMediumProbabilityStatisticsView →
- Cosine of a conditional meanMediumProbabilityConditional Probability & ExpectationView →
- Density of a sum of two uniformsMediumProbabilityRandom VariablesView →
- Expected gap on 30-sided diceMediumProbabilityExpected ValueView →
- Expected square of a random unit complex numberMediumProbabilityRandom VariablesView →
- Fourth moment of a shifted normalMediumProbabilityRandom VariablesView →
- Gambler's ruinMediumProbabilityStochastic ProcessesView →
- Letters into envelopesMediumProbabilityExpected ValueView →
- No two neighboring bulbs litMediumProbabilityCombinatoricsView →
- Second-price auction strategyMediumProbabilityMarket Making & Betting GamesView →
- Spam filterMediumProbabilityConditional Probability & ExpectationView →
- Stationary distribution of a two-state chainMediumProbabilityStochastic ProcessesView →
- The cab problemMediumProbabilityConditional Probability & ExpectationView →
- The same number of tailsMediumProbabilityCombinatoricsView →
- Two positive testsMediumProbabilityConditional Probability & ExpectationView →
- Variance-minimizing hedgeMediumProbabilityStatisticsView →
- Will they meet?MediumProbabilityView →
- Winning from deuceMediumProbabilityConditional Probability & ExpectationView →
- X positive given the sum is positiveMediumProbabilityRandom VariablesView →
- A 12 before two 7sHardProbabilityStochastic ProcessesView →
- A half-plane, given positiveHardProbabilityRandom VariablesView →
- A rectangle over the shaded rowHardProbabilityCombinatoricsView →
- Amoeba extinctionHardProbabilityStochastic ProcessesView →
- Bertrand's chordHardProbabilityBrainteasersView →
- Branching process extinction (supercritical)HardProbabilityStochastic ProcessesView →
- Broken-stick triangleHardProbabilityView →
- Buffon's needleHardProbabilityCalculusView →
- Cars advancing to the endHardProbabilityExpected ValueView →
- Correlation of min and maxHardProbabilityRandom VariablesView →
- Cuts until one orb remainsHardProbabilityExpected ValueView →
- Distinct toys from seven boxesHardProbabilityExpected ValueView →
- Draws to pass a log thresholdHardProbabilityRandom VariablesView →
- Draws to pass twoHardProbabilityRandom VariablesView →
- Ehrenfest urn stationary distributionHardProbabilityStochastic ProcessesView →
- Expected arc covering a fixed pointHardProbabilityExpected ValueView →
- Head density with no two in a rowHardProbabilityCombinatoricsView →
- Hitting zero on a ringHardProbabilityStochastic ProcessesView →
- Laplace's rule of successionHardProbabilityConditional Probability & ExpectationView →
- Loops from tying noodlesHardProbabilityExpected ValueView →
- No two samples too closeHardProbabilityCombinatoricsView →
- Odd sums on a 3×3 gridHardProbabilityCombinatoricsView →
- Only seven left unchosenHardProbabilityCombinatoricsView →
- Overshoot past oneHardProbabilityRandom VariablesView →
- Pairing gloves within oneHardProbabilityCombinatoricsView →
- Penalty kicks with a shifting rateHardProbabilityRandom VariablesView →
- Prisoners and the boxesHardProbabilityBrainteasersView →
- Range beats the midpointHardProbabilityRandom VariablesView →
- Reflected paths ending below the levelHardProbabilityStochastic ProcessesView →
- Rounds to see all faces with two diceHardProbabilityExpected ValueView →
- The drunk passengerHardProbabilityConditional Probability & ExpectationView →
- The two-envelopes paradoxHardProbabilityConditional Probability & ExpectationView →
- Triangle from three independent sticksHardProbabilityCalculusView →
- Two Brownian values, both positiveHardProbabilityStochastic ProcessesView →
- Two coprime integersHardProbabilityCombinatoricsView →
- Two elements in the long cycleHardProbabilityCombinatoricsView →
- Two walks returning togetherHardProbabilityCombinatoricsView →
- When the extremes sum above oneHardProbabilityRandom VariablesView →
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This set is a slice of two larger ones. If it is too narrow, start here instead:
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