Combinatorics Interview Questions for Traders
Traders get asked combinatorics differently from other quant roles - the emphasis shifts with what the job actually does. This is that slice.
82 questions, all free to practise. The split is 37 easy, 34 medium, 11 hard.
- 1 immediately before 2EasyProbabilityCombinatoricsView →
- A guest list with a feudEasyCombinatoricsView →
- A majority of onesEasyCombinatoricsView →
- A perfect-power dice sumEasyProbabilityCombinatoricsView →
- All four aces before any kingEasyProbabilityCombinatoricsView →
- All the squares on a chessboardEasyCombinatoricsBrainteasersView →
- At least one blue and one greenEasyProbabilityCombinatoricsView →
- At least one matching pair in three cardsEasyProbabilityCombinatoricsView →
- Committee with both sexesEasyCombinatoricsView →
- Counting arithmetic triplesEasyProbabilityCombinatoricsView →
- Counting flushesEasyProbabilityCombinatoricsView →
- Dots on distinct edgesEasyProbabilityCombinatoricsView →
- Drawing a matching pair of socksEasyProbabilityCombinatoricsView →
- Even numbers, distinct digitsEasyCombinatoricsView →
- Exactly one ace in three drawsEasyProbabilityCombinatoricsView →
- Finding the number of blue socksEasyProbabilityCombinatoricsView →
- Four dice summing to twentyEasyProbabilityCombinatoricsView →
- Handshakes across two groupsEasyCombinatoricsView →
- Handshakes at four couplesEasyCombinatoricsBrainteasersView →
- Hopping rabbit, up to three stepsEasyProbabilityCombinatoricsView →
- Matching chips, two drawsEasyCombinatoricsExpected ValueView →
- Matching head countsEasyProbabilityCombinatoricsView →
- Merging two round-robinsEasyCombinatoricsView →
- Repeated digit on a plateEasyCombinatoricsView →
- Seating with a gapEasyCombinatoricsView →
- Seven before six or eightEasyProbabilityCombinatoricsView →
- Socks for a matching trioEasyCombinatoricsBrainteasersView →
- The top two cards form a pairEasyProbabilityCombinatoricsView →
- Three cube faces at a cornerEasyProbabilityCombinatoricsView →
- Three dice, increasingEasyProbabilityCombinatoricsView →
- Three distinct dice, no sixEasyProbabilityCombinatoricsView →
- Top three dice summing to eighteenEasyProbabilityCombinatoricsView →
- Triangles across two linesEasyCombinatoricsView →
- Two numbers in different groupsEasyProbabilityCombinatoricsView →
- Two primes with an even sumEasyProbabilityCombinatoricsView →
- Ways to reach deuceEasyProbabilityCombinatoricsView →
- Which side holds the heavy weightEasyProbabilityCombinatoricsView →
- A prime sum on prime diceMediumProbabilityCombinatoricsView →
- Aces in a seven-card handMediumCombinatoricsExpected ValueView →
- An ace for everyoneMediumProbabilityCombinatoricsView →
- An ace in every pileMediumProbabilityCombinatoricsView →
- An ace in the handMediumProbabilityCombinatoricsView →
- Boy–girl neighbors in a lineMediumCombinatoricsExpected ValueView →
- Chords that don't crossMediumProbabilityCombinatoricsView →
- Counting straightsMediumProbabilityCombinatoricsView →
- Distributing candies with a capMediumCombinatoricsView →
- Eight coins, one lightMediumCombinatoricsBrainteasersView →
- Eight dice summing to twelveMediumProbabilityCombinatoricsView →
- Emptying the cherry bowlMediumProbabilityCombinatoricsView →
- Exactly two aces in a bridge handMediumProbabilityCombinatoricsView →
- First HH on the tenth tossMediumProbabilityCombinatoricsView →
- Five distinct ranksMediumProbabilityCombinatoricsView →
- Four distinct birth monthsMediumProbabilityCombinatoricsView →
- Full housesMediumProbabilityCombinatoricsView →
- Keeping two apartMediumCombinatoricsView →
- Large sum given a sixMediumProbabilityConditional Probability & ExpectationView →
- No face card before the two of heartsMediumProbabilityCombinatoricsView →
- One card each in casino warMediumProbabilityCombinatoricsView →
- Pair at a round tableMediumCombinatoricsView →
- Paths dodging a closed intersectionMediumCombinatoricsView →
- Position of the first spadeMediumCombinatoricsExpected ValueView →
- Probability of three of a kindMediumProbabilityCombinatoricsView →
- Red faces on a diced cubeMediumCombinatoricsExpected ValueView →
- Sum of 10 with three diceMediumProbabilityCombinatoricsView →
- The birthday problemMediumProbabilityCombinatoricsView →
- The largest unmakeable totalMediumCombinatoricsBrainteasersView →
- The same number of tailsMediumProbabilityCombinatoricsView →
- The third shiny pennyMediumProbabilityCombinatoricsView →
- Three dots, exactly one shared edgeMediumProbabilityCombinatoricsView →
- Three ones in a rowMediumProbabilityCombinatoricsView →
- Two face cardsMediumProbabilityCombinatoricsView →
- Ages from product and sumHardCombinatoricsBrainteasersView →
- Counting two-pair handsHardProbabilityCombinatoricsView →
- Defective stack of coinsHardCombinatoricsBrainteasersView →
- Expected chord intersectionsHardProbabilityCombinatoricsView →
- Expected largest of ten ballsHardCombinatoricsExpected ValueView →
- Handshakes at a dinner partyHardCombinatoricsBrainteasersView →
- More coins, more heads?HardProbabilityCombinatoricsView →
- One of each face before the two of heartsHardProbabilityCombinatoricsView →
- Pairs left in the drawerHardCombinatoricsExpected ValueView →
- Runs of red and blue marblesHardCombinatoricsExpected ValueView →
- The boy born on a TuesdayHardProbabilityConditional Probability & ExpectationView →
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