Hard Expected Value Interview Questions
These are the expected value questions that separate candidates who know the technique from those who can apply it under pressure.
40 questions, all free to practise.
- Bluffing frequency in pokerHardProbabilityExpected ValueView →
- Cars advancing to the endHardProbabilityExpected ValueView →
- Connecting noodlesHardProbabilityExpected ValueView →
- Cuts until one orb remainsHardProbabilityExpected ValueView →
- Cycles in a shuffleHardCombinatoricsExpected ValueView →
- Dealing until kings or a king-and-aceHardCombinatoricsExpected ValueView →
- Deriving the first-price shading factorHardProbabilityExpected 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 →
- Draws until a smaller valueHardExpected ValueView →
- Drunk man on a bridgeHardExpected ValueStochastic ProcessesView →
- Expected arc covering a fixed pointHardProbabilityExpected ValueView →
- Expected chord between two random pointsHardProbabilityExpected ValueView →
- Expected duration of a fair walkHardExpected ValueStochastic ProcessesView →
- Expected flips for HHHHardExpected ValueStochastic ProcessesView →
- Expected flips for HTHHardExpected ValueStochastic ProcessesView →
- Expected largest of ten ballsHardCombinatoricsExpected ValueView →
- Expected local maxima in a shuffleHardProbabilityExpected ValueView →
- Expected revisits of the start stateHardExpected ValueStochastic ProcessesView →
- Four heads in a rowHardExpected ValueStochastic ProcessesView →
- Guessing cards from a known pileHardProbabilityExpected ValueView →
- Long cycles in a random permutationHardCombinatoricsExpected ValueView →
- Loops from tying noodlesHardProbabilityExpected ValueView →
- Optional stopping between +3 and −5HardExpected ValueStochastic ProcessesView →
- Overshoot past oneHardProbabilityRandom VariablesView →
- Pairs left in the drawerHardCombinatoricsExpected ValueView →
- Reflecting wall first-passage timeHardExpected ValueStochastic ProcessesView →
- Repainting balls to one colorHardExpected ValueStochastic ProcessesView →
- Rolling until two rolls are closeHardProbabilityExpected ValueView →
- 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 →
- Smallest card sharing a boxHardProbabilityExpected ValueView →
- The all-pay auctionHardProbabilityExpected ValueView →
- The decreasing run of uniformsHardRandom VariablesExpected ValueView →
- The two-envelopes paradoxHardProbabilityConditional Probability & ExpectationView →
- Uniforms summing past 1HardRandom VariablesExpected ValueView →
- World Series bettingHardExpected ValueStochastic ProcessesView →
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