Expected Value Questions for Systematic & Data-Driven Trading Interviews
A systematic & data-driven trading round does not test expected value the way a textbook does. This set is the overlap - the expected value questions that actually turn up in this format.
42 questions, 28 of them free to practise right now. The split is 2 easy, 17 medium, 23 hard.
- A coin that branches into a dieEasyCombinatoricsExpected ValueView →
- Weighting a fixed sumEasyConditional Probability & ExpectationExpected ValueView →
- All six faces (coupon collector)MediumRandom VariablesExpected ValueView →
- An ant returning to its cornerMediumExpected ValueStochastic ProcessesView →
- Boy–girl neighbors in a lineMediumCombinatoricsExpected ValueView →
- Distinct faces in three rollsMediumExpected ValueView →
- Expected flips for HHMediumRandom VariablesExpected ValueView →
- Expected gap on 30-sided diceMediumProbabilityExpected ValueView →
- Letters into envelopesMediumProbabilityExpected ValueView →
- Ratio of partial sumsMediumRandom VariablesExpected ValueView →
- The German tank problemMediumExpected ValueStatisticsView →
- The last lightbulb to burn outMediumRandom VariablesExpected ValueView →
- Cars advancing to the endHardProbabilityExpected ValueView →
- Cuts until one orb remainsHardProbabilityExpected ValueView →
- Distinct toys from seven boxesHardProbabilityExpected ValueView →
- Draws to beat a hidden uniformHardRandom VariablesExpected ValueView →
- Draws to pass a log thresholdHardProbabilityRandom VariablesView →
- Draws to pass twoHardProbabilityRandom VariablesView →
- Expected arc covering a fixed pointHardProbabilityExpected ValueView →
- Expected largest of ten ballsHardCombinatoricsExpected ValueView →
- Long cycles in a random permutationHardCombinatoricsExpected ValueView →
- Loops from tying noodlesHardProbabilityExpected ValueView →
- Overshoot past oneHardProbabilityRandom VariablesView →
- Rolls to a six, given all evenHardConditional Probability & ExpectationExpected ValueView →
- Rounds to see all faces with two diceHardProbabilityExpected ValueView →
- Runs of red and blue marblesHardCombinatoricsExpected ValueView →
- The decreasing run of uniformsHardRandom VariablesExpected ValueView →
- Uniforms summing past 1HardRandom VariablesExpected ValueView →
- Distinct faces in five rollsMediumCombinatoricsExpected Value Premium
- Expected ascents in a shuffleMediumCombinatoricsExpected Value Premium
- Expected sum of a random subsetMediumExpected Value Premium
- Gap between two uniformsMediumExpected ValueStatistics Premium
- Memoryless waitingMediumConditional Probability & ExpectationRandom Variables Premium
- Renewal-reward fraction of time runningMediumExpected ValueStochastic Processes Premium
- k-th order statisticMediumExpected ValueStatistics Premium
- Cycles in a shuffleHardCombinatoricsExpected Value Premium
- Draws until a smaller valueHardExpected Value Premium
- Expected duration of a fair walkHardExpected ValueStochastic Processes Premium
- Expected revisits of the start stateHardExpected ValueStochastic Processes Premium
- Optional stopping between +3 and −5HardExpected ValueStochastic Processes Premium
- Repainting balls to one colorHardExpected ValueStochastic Processes Premium
- The two-envelopes paradoxHardProbabilityConditional Probability & Expectation Premium
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