Expected Value Interview Questions for Quant Researchers
Quant Researchers get asked expected value differently from other quant roles - the emphasis shifts with what the job actually does. This is that slice.
114 questions, 72 of them free to practise right now. The split is 17 easy, 58 medium, 39 hard.
- A coin that branches into a dieEasyCombinatoricsExpected ValueView →
- Color switches in a drawEasyRandom VariablesExpected ValueView →
- Expected flips after a losing startEasyProbabilityExpected ValueView →
- Expected flips for three headsEasyProbabilityExpected ValueView →
- Expected flips for two heads in a rowEasyProbabilityExpected ValueView →
- How many sixes on the die?EasyExpected ValueBrainteasersView →
- Keep it or draw againEasyProbabilityExpected ValueView →
- Keep the d8 or gamble on the d12?EasyProbabilityExpected ValueView →
- Paid a dollar or the drawEasyExpected ValueStatisticsView →
- Paid the last roll before you stopEasyProbabilityExpected ValueView →
- Profit from a favourable stopping gameEasyExpected ValueStochastic ProcessesView →
- Reflipping for valueEasyProbabilityExpected ValueView →
- Retries under a hard capEasyExpected ValueStochastic ProcessesView →
- Rolling a die to size the next dieEasyConditional Probability & ExpectationExpected ValueView →
- Rolling until you match the first rollEasyProbabilityExpected ValueView →
- Rolls until an even sumEasyProbabilityExpected ValueView →
- Weighting a fixed sumEasyConditional Probability & ExpectationExpected ValueView →
- All six faces (coupon collector)MediumRandom VariablesExpected ValueView →
- An ant returning to its cornerMediumExpected ValueStochastic ProcessesView →
- Balancing six- and eight-sided diceMediumExpected ValueBrainteasersView →
- Boy–girl neighbors in a lineMediumCombinatoricsExpected ValueView →
- Cash out or bustMediumProbabilityExpected ValueView →
- Dice game, up to three rollsMediumExpected ValueStochastic ProcessesView →
- Dice payoff via WaldMediumExpected ValueStochastic ProcessesView →
- Distinct faces in three rollsMediumExpected ValueView →
- Expectation as a sum of tailsMediumRandom VariablesExpected ValueView →
- Expected fives before the first sixMediumProbabilityExpected ValueView →
- Expected flips for HHMediumRandom VariablesExpected ValueView →
- Expected flips for HHTMediumExpected ValueStochastic ProcessesView →
- Expected flips for HTMediumExpected ValueStochastic ProcessesView →
- Expected gap on 30-sided diceMediumProbabilityExpected ValueView →
- Expected maximum of two diceMediumRandom VariablesExpected ValueView →
- Expected median of three diceMediumProbabilityExpected ValueView →
- Expected value of the highest cardMediumProbabilityExpected ValueView →
- First consecutive repeatMediumProbabilityExpected ValueView →
- First to three of a kind in a rowMediumProbabilityExpected ValueView →
- Heads given the ends differMediumConditional Probability & ExpectationExpected ValueView →
- Letters into envelopesMediumProbabilityExpected ValueView →
- Number of runsMediumExpected ValueView →
- Position of the first aceMediumConditional Probability & ExpectationExpected ValueView →
- Ratio of partial sumsMediumRandom VariablesExpected ValueView →
- Red faces on a diced cubeMediumCombinatoricsExpected ValueView →
- Rolling a 5-sided die to reach fiveMediumProbabilityExpected ValueView →
- Rolling until two rolls differ by twoMediumProbabilityExpected ValueView →
- Rolls to a six before a fiveMediumProbabilityExpected ValueView →
- Sharpe ratio in a marble gameMediumExpected ValueStatisticsView →
- The German tank problemMediumExpected ValueStatisticsView →
- The last lightbulb to burn outMediumRandom VariablesExpected 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 →
- 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 →
- A convexity gap by JensenMediumRandom VariablesExpected Value Premium
- Aces in a seven-card handMediumCombinatoricsExpected Value Premium
- Distinct birthdays representedMediumProbabilityExpected Value Premium
- Distinct faces in five rollsMediumCombinatoricsExpected Value Premium
- Empty boxesMediumExpected Value Premium
- Expectation of e raised to a normalMediumRandom VariablesExpected Value Premium
- Expected absolute difference of two diceMediumExpected Value Premium
- Expected ascents in a shuffleMediumCombinatoricsExpected Value Premium
- Expected duration of a fair gameMediumExpected ValueStochastic Processes Premium
- Expected maximum of three diceMediumRandom VariablesExpected Value Premium
- Expected minimum of two diceMediumRandom VariablesExpected Value Premium
- Expected rolls for two sixes in a rowMediumExpected ValueStochastic Processes Premium
- Expected sum given both evenMediumConditional Probability & ExpectationExpected Value Premium
- Expected sum of a random subsetMediumExpected Value Premium
- Gap between two uniformsMediumExpected ValueStatistics 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
- Position of the first spadeMediumCombinatoricsExpected Value Premium
- Pricing a squared payoffMediumExpected ValueMarket Making & Betting Games Premium
- Renewal-reward fraction of time runningMediumExpected ValueStochastic Processes Premium
- Rolls to see both a 1 and a 2MediumExpected Value Premium
- Rolls until a face repeatsMediumProbabilityExpected Value Premium
- The St. Petersburg paradoxMediumExpected ValueMarket Making & Betting Games Premium
- k-th order statisticMediumExpected ValueStatistics 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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