Medium Probability Interview Questions
Medium is where most real interview questions sit. This is the probability set worth spending the most time in.
116 questions, all free to practise.
- A 5 before a 7MediumProbabilityView →
- A cube ending in elevenMediumProbabilityBrainteasersView →
- A low medianMediumProbabilityRandom VariablesView →
- A point near the cone's baseMediumProbabilityCalculusView →
- A prime sum on prime diceMediumProbabilityCombinatoricsView →
- Absorption probability on a lineMediumProbabilityStochastic ProcessesView →
- An ace for everyoneMediumProbabilityCombinatoricsView →
- An ace in every pileMediumProbabilityCombinatoricsView →
- An ace in the handMediumProbabilityCombinatoricsView →
- Arrivals before the rival streamMediumProbabilityStochastic ProcessesView →
- At least two sixes in five rollsMediumProbabilityRandom VariablesView →
- Bertrand's boxMediumProbabilityConditional Probability & ExpectationView →
- Both even given an even sumMediumProbabilityConditional Probability & ExpectationView →
- Break-even half-spread from toxic flowMediumProbabilityExpected ValueView →
- Buyer count in a thinned arrival streamMediumProbabilityStochastic ProcessesView →
- Cash out or bustMediumProbabilityExpected ValueView →
- Chords that don't crossMediumProbabilityCombinatoricsView →
- Coin sets the number of dice rollsMediumProbabilityConditional Probability & ExpectationView →
- Correlation of two face-countsMediumProbabilityStatisticsView →
- Cosine of a conditional meanMediumProbabilityConditional Probability & ExpectationView →
- Counting straightsMediumProbabilityCombinatoricsView →
- Density of a sum of two uniformsMediumProbabilityRandom VariablesView →
- Distinct birthdays representedMediumProbabilityExpected ValueView →
- Eight dice summing to twelveMediumProbabilityCombinatoricsView →
- Emptying the cherry bowlMediumProbabilityCombinatoricsView →
- Exactly two aces in a bridge handMediumProbabilityCombinatoricsView →
- Expected fives before the first sixMediumProbabilityExpected ValueView →
- Expected gap on 30-sided diceMediumProbabilityExpected ValueView →
- Expected median of three diceMediumProbabilityExpected ValueView →
- Expected revenue of a Vickrey auctionMediumProbabilityExpected ValueView →
- Expected square of a random unit complex numberMediumProbabilityRandom VariablesView →
- Expected steps to first reach a levelMediumProbabilityStochastic ProcessesView →
- Expected value of the highest cardMediumProbabilityExpected ValueView →
- Fair outcome from a biased coinMediumProbabilityStatisticsView →
- First HH on the tenth tossMediumProbabilityCombinatoricsView →
- First consecutive repeatMediumProbabilityExpected ValueView →
- First head on an even flipMediumProbabilityView →
- First head strictly soonerMediumProbabilityRandom VariablesView →
- First to roll a sixMediumProbabilityView →
- First to three of a kind in a rowMediumProbabilityExpected ValueView →
- Five distinct ranksMediumProbabilityCombinatoricsView →
- Four distinct birth monthsMediumProbabilityCombinatoricsView →
- Four fives before the first sixMediumProbabilityRandom VariablesView →
- Four points on a semicircleMediumProbabilityView →
- Four times as long to the first headMediumProbabilityRandom VariablesView →
- Fourth moment of a shifted normalMediumProbabilityRandom VariablesView →
- Full housesMediumProbabilityCombinatoricsView →
- Gambler's ruinMediumProbabilityStochastic ProcessesView →
- Gambler's ruin (unfair)MediumProbabilityStochastic ProcessesView →
- HT before HH in coin flipsMediumProbabilityStochastic ProcessesView →
- Joint default rangeMediumProbabilityFinance & DerivativesView →
- Large sum given a sixMediumProbabilityConditional Probability & ExpectationView →
- Letters into envelopesMediumProbabilityExpected ValueView →
- Matching floors of a logarithmMediumProbabilityRandom VariablesView →
- Mean over variance of a nested uniformMediumProbabilityRandom VariablesView →
- Minimum defense frequency against a betMediumProbabilityExpected ValueView →
- Minimum given the maximumMediumProbabilityConditional Probability & ExpectationView →
- Minimum of two exponentialsMediumProbabilityRandom VariablesView →
- Monty HallMediumProbabilityConditional Probability & ExpectationView →
- Monty Hall with 100 doorsMediumProbabilityConditional Probability & ExpectationView →
- Neither die exceeds fourMediumProbabilityRandom VariablesView →
- No face card before the two of heartsMediumProbabilityCombinatoricsView →
- No two heads in a rowMediumProbabilityCombinatoricsView →
- No two neighboring bulbs litMediumProbabilityCombinatoricsView →
- One card each in casino warMediumProbabilityCombinatoricsView →
- One extra roll for more primesMediumProbabilityView →
- One random subset inside anotherMediumProbabilityCombinatoricsView →
- Painted cube, one face showingMediumProbabilityBrainteasersView →
- Prime sumMediumProbabilityView →
- Probability of three of a kindMediumProbabilityCombinatoricsView →
- Product of two uniforms above a halfMediumProbabilityRandom VariablesView →
- Rare-event Poisson approximationMediumProbabilityRandom VariablesView →
- 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 →
- Rolls until a face repeatsMediumProbabilityExpected ValueView →
- Russian roulette, re-spunMediumProbabilityConditional Probability & ExpectationView →
- Second-price auction strategyMediumProbabilityMarket Making & Betting GamesView →
- Simulate probability pMediumProbabilityProgramming & DSAView →
- Smallest simulable probabilityMediumProbabilityBrainteasersView →
- Spam filterMediumProbabilityConditional Probability & ExpectationView →
- Stationary distribution of a two-state chainMediumProbabilityStochastic ProcessesView →
- Sum of 10 with three diceMediumProbabilityCombinatoricsView →
- Sum of independent PoissonsMediumProbabilityRandom VariablesView →
- Sum versus twice the differenceMediumProbabilityRandom VariablesView →
- Ten dice, sum divisible by sixMediumProbabilityCombinatoricsView →
- Tennis: two sets or three?MediumProbabilityView →
- The birthday problemMediumProbabilityCombinatoricsView →
- The cab problemMediumProbabilityConditional Probability & ExpectationView →
- The die that makes sums uniformMediumProbabilityCombinatoricsView →
- The larger die shows a 4 - what about the smaller?MediumProbabilityRandom VariablesView →
- The same number of tailsMediumProbabilityCombinatoricsView →
- The third shiny pennyMediumProbabilityCombinatoricsView →
- The two black aces, side by sideMediumProbabilityCombinatoricsView →
- The two-headed coinMediumProbabilityConditional Probability & ExpectationView →
- Three dots, exactly one shared edgeMediumProbabilityCombinatoricsView →
- Three ones in a rowMediumProbabilityCombinatoricsView →
- Three prisonersMediumProbabilityConditional Probability & ExpectationView →
- Tuning an exponential random walkMediumProbabilityStochastic ProcessesView →
- Two childrenMediumProbabilityConditional Probability & ExpectationView →
- Two face cardsMediumProbabilityCombinatoricsView →
- Two positive testsMediumProbabilityConditional Probability & ExpectationView →
- Two reds in a row from a shrinking urnMediumProbabilityConditional Probability & ExpectationView →
- Two uniforms summing below a halfMediumProbabilityRandom VariablesView →
- Two uniforms summing past 1.5MediumProbabilityCalculusView →
- Units digit of a random powerMediumProbabilityCombinatoricsView →
- Variance of a stochastic integralMediumProbabilityStochastic ProcessesView →
- Variance of the longer pieceMediumProbabilityRandom VariablesView →
- Variance-minimizing hedgeMediumProbabilityStatisticsView →
- Which coin produced two heads?MediumProbabilityConditional Probability & ExpectationView →
- Which deck for two reds?MediumProbabilityView →
- Whose draw is larger?MediumProbabilityView →
- Will they meet?MediumProbabilityView →
- Winning from deuceMediumProbabilityConditional Probability & ExpectationView →
- Within distance d on the unit intervalMediumProbabilityCalculusView →
- X positive given the sum is positiveMediumProbabilityRandom VariablesView →
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