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, 23 of them free to practise right now.
- Cars advancing to the endHardProbabilityExpected ValueView →
- Cuts until one orb remainsHardProbabilityExpected ValueView →
- Dealing until kings or a king-and-aceHardCombinatoricsExpected 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 chord between two random pointsHardProbabilityExpected ValueView →
- Expected largest of ten ballsHardCombinatoricsExpected ValueView →
- Expected local maxima in a shuffleHardProbabilityExpected ValueView →
- Guessing cards from a known pileHardProbabilityExpected ValueView →
- Long cycles in a random permutationHardCombinatoricsExpected ValueView →
- Loops from tying noodlesHardProbabilityExpected ValueView →
- Overshoot past oneHardProbabilityRandom VariablesView →
- Pairs left in the drawerHardCombinatoricsExpected ValueView →
- 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 decreasing run of uniformsHardRandom VariablesExpected ValueView →
- Uniforms summing past 1HardRandom VariablesExpected ValueView →
- Bluffing frequency in pokerHardProbabilityExpected Value Premium
- Connecting noodlesHardProbabilityExpected Value Premium
- Cycles in a shuffleHardCombinatoricsExpected Value Premium
- Deriving the first-price shading factorHardProbabilityExpected Value Premium
- Draws until a smaller valueHardExpected Value Premium
- Drunk man on a bridgeHardExpected ValueStochastic Processes Premium
- Expected duration of a fair walkHardExpected ValueStochastic Processes Premium
- Expected flips for HHHHardExpected ValueStochastic Processes Premium
- Expected flips for HTHHardExpected ValueStochastic Processes Premium
- Expected revisits of the start stateHardExpected ValueStochastic Processes Premium
- Four heads in a rowHardExpected ValueStochastic Processes Premium
- Optional stopping between +3 and −5HardExpected ValueStochastic Processes Premium
- Reflecting wall first-passage timeHardExpected ValueStochastic Processes Premium
- Repainting balls to one colorHardExpected ValueStochastic Processes Premium
- The all-pay auctionHardProbabilityExpected Value Premium
- The two-envelopes paradoxHardProbabilityConditional Probability & Expectation Premium
- World Series bettingHardExpected ValueStochastic Processes Premium
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