Expected Value Questions for Market Maker Interviews
A market maker 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.
63 questions, 39 of them free to practise right now. The split is 6 easy, 24 medium, 33 hard.
- A coin that branches into a dieEasyCombinatoricsExpected ValueView →
- Expected flips for two heads in a rowEasyProbabilityExpected ValueView →
- Keep it or draw againEasyProbabilityExpected ValueView →
- Reflipping for valueEasyProbabilityExpected ValueView →
- Retries under a hard capEasyExpected ValueStochastic ProcessesView →
- Weighting a fixed sumEasyConditional Probability & ExpectationExpected ValueView →
- An ant returning to its cornerMediumExpected ValueStochastic ProcessesView →
- Boy–girl neighbors in a lineMediumCombinatoricsExpected ValueView →
- Expected fives before the first sixMediumProbabilityExpected ValueView →
- Expected flips for HHMediumRandom VariablesExpected ValueView →
- Expected flips for HTMediumExpected ValueStochastic ProcessesView →
- First to three of a kind in a rowMediumProbabilityExpected ValueView →
- Heads given the ends differMediumConditional Probability & ExpectationExpected ValueView →
- Letters into envelopesMediumProbabilityExpected ValueView →
- Position of the first aceMediumConditional Probability & ExpectationExpected ValueView →
- Ratio of partial sumsMediumRandom VariablesExpected ValueView →
- Red faces on a diced cubeMediumCombinatoricsExpected ValueView →
- Rolls to a six before a fiveMediumProbabilityExpected ValueView →
- Three rolls, keep the lastMediumExpected ValueView →
- Cars advancing to the endHardProbabilityExpected ValueView →
- Cuts until one orb remainsHardProbabilityExpected ValueView →
- Dealing until kings or a king-and-aceHardCombinatoricsExpected 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 →
- Rolls to a six, given all evenHardConditional Probability & ExpectationExpected 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 →
- A convexity gap by JensenMediumRandom VariablesExpected Value Premium
- Expectation of e raised to a normalMediumRandom VariablesExpected Value Premium
- Expected ascents in a shuffleMediumCombinatoricsExpected Value Premium
- Expected duration of a fair gameMediumExpected ValueStochastic Processes Premium
- Expected rolls for two sixes in a rowMediumExpected ValueStochastic Processes Premium
- Inversions in a shuffleMediumCombinatoricsExpected Value Premium
- Is the random walk squared a martingale?MediumExpected ValueStochastic Processes Premium
- Law of total varianceMediumConditional Probability & ExpectationExpected Value Premium
- Memoryless waitingMediumConditional Probability & ExpectationRandom Variables Premium
- Rolls until a face repeatsMediumProbabilityExpected Value Premium
- k-th order statisticMediumExpected ValueStatistics Premium
- 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 flips for HHHHardExpected ValueStochastic Processes Premium
- Expected flips for HTHHardExpected ValueStochastic Processes Premium
- Four heads in a rowHardExpected ValueStochastic Processes Premium
- Optional stopping between +3 and −5HardExpected ValueStochastic Processes Premium
- The all-pay auctionHardProbabilityExpected Value Premium
- The two-envelopes paradoxHardProbabilityConditional Probability & Expectation Premium
- World Series bettingHardExpected ValueStochastic Processes Premium
Widen the search
This set is a slice of two larger ones. If it is too narrow, start here instead:
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