Random Variables Interview Questions for Traders
Traders get asked random variables differently from other quant roles - the emphasis shifts with what the job actually does. This is that slice.
51 questions, all free to practise. The split is 22 easy, 22 medium, 7 hard.
- A one-sided percentile cutoffEasyRandom VariablesStatisticsView →
- A tail of a sum of normalsEasyRandom VariablesStatisticsView →
- All three land in the same halfEasyProbabilityRandom VariablesView →
- Beating a product of uniformsEasyProbabilityRandom VariablesView →
- Beating three othersEasyProbabilityRandom VariablesView →
- Capped exponential payoutEasyRandom VariablesExpected ValueView →
- Coin count past two sigmaEasyRandom VariablesStatisticsView →
- Color switches in a drawEasyRandom VariablesExpected ValueView →
- Conditioning a uniform waitEasyProbabilityRandom VariablesView →
- Expected distance of a dart from centerEasyProbabilityRandom VariablesView →
- First success on an even trialEasyRandom VariablesExpected ValueView →
- Maximum of four uniforms in a bandEasyProbabilityRandom VariablesView →
- Normalizing a tilted densityEasyRandom VariablesCalculusView →
- Pairs who swap hatsEasyRandom VariablesExpected ValueView →
- Six heads from a random biased coinEasyConditional Probability & ExpectationRandom VariablesView →
- Spread of a coin-flip payoffEasyRandom VariablesStatisticsView →
- Squared payout on even facesEasyRandom VariablesExpected ValueView →
- Variance of a reciprocal uniformEasyRandom VariablesStatisticsView →
- Variance of a union indicatorEasyRandom VariablesStatisticsView →
- Variance of a weighted dice combinationEasyRandom VariablesStatisticsView →
- Where the maximum landsEasyRandom VariablesStatisticsView →
- Whether either bus comes soonEasyProbabilityRandom VariablesView →
- A convexity gap by JensenMediumRandom VariablesExpected ValueView →
- A low medianMediumProbabilityRandom VariablesView →
- At least two sixes in five rollsMediumProbabilityRandom VariablesView →
- Backing out a correlationMediumRandom VariablesStatisticsView →
- Correlation of overlapping sumsMediumRandom VariablesStatisticsView →
- Expected maximum of three diceMediumRandom VariablesExpected ValueView →
- Expected maximum of two diceMediumRandom VariablesExpected ValueView →
- Expected minimum of two diceMediumRandom VariablesExpected ValueView →
- First head strictly soonerMediumProbabilityRandom VariablesView →
- Four fives before the first sixMediumProbabilityRandom VariablesView →
- Four times as long to the first headMediumProbabilityRandom VariablesView →
- Neither die exceeds fourMediumProbabilityRandom VariablesView →
- Product of two uniforms above a halfMediumProbabilityRandom VariablesView →
- Rare-event Poisson approximationMediumProbabilityRandom VariablesView →
- Sum versus twice the differenceMediumProbabilityRandom VariablesView →
- The larger die shows a 4 - what about the smaller?MediumProbabilityRandom VariablesView →
- The last lightbulb to burn outMediumRandom VariablesExpected ValueView →
- Two uniforms summing below a halfMediumProbabilityRandom VariablesView →
- Variance of a coin-gated payoffMediumRandom VariablesStatisticsView →
- Variance of the longer pieceMediumProbabilityRandom VariablesView →
- Waiting to see both facesMediumRandom VariablesStatisticsView →
- Which desk books the larger dayMediumRandom VariablesStatisticsView →
- A small sub-triangleHardProbabilityRandom VariablesView →
- A three-way race to the first headHardProbabilityRandom VariablesView →
- Best-of-seven underdogHardProbabilityRandom VariablesView →
- HTH before HHTHardProbabilityRandom VariablesView →
- Shortest of three piecesHardProbabilityRandom VariablesView →
- Six pieces, none past a halfHardProbabilityRandom VariablesView →
- Two random segments overlappingHardProbabilityRandom VariablesView →
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