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, 66 of them free to practise right now. 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 rabbitEasyProbabilityCombinatoricsView →
- Matching chips, two drawsEasyCombinatoricsExpected ValueView →
- Matching head countsEasyProbabilityCombinatoricsView →
- Merging two round-robinsEasyCombinatoricsView →
- Probability two dice sum to a primeEasyProbabilityCombinatoricsView →
- Repeated digit on a plateEasyCombinatoricsView →
- Seating with a gapEasyCombinatoricsView →
- 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 →
- An ace for everyoneMediumProbabilityCombinatoricsView →
- An ace in every pileMediumProbabilityCombinatoricsView →
- Boy–girl neighbors in a lineMediumCombinatoricsExpected ValueView →
- Chords that don't crossMediumProbabilityCombinatoricsView →
- Distributing candies with a capMediumCombinatoricsView →
- Eight dice summing to twelveMediumProbabilityCombinatoricsView →
- Emptying the cherry bowlMediumProbabilityCombinatoricsView →
- Exactly two aces in a bridge handMediumProbabilityCombinatoricsView →
- First HH on the tenth tossMediumProbabilityCombinatoricsView →
- Full housesMediumProbabilityCombinatoricsView →
- Keeping two apartMediumCombinatoricsView →
- No face card before the two of heartsMediumProbabilityCombinatoricsView →
- One card each in casino warMediumProbabilityCombinatoricsView →
- Probability of three of a kindMediumProbabilityCombinatoricsView →
- Red faces on a diced cubeMediumCombinatoricsExpected ValueView →
- The birthday problemMediumProbabilityCombinatoricsView →
- The largest unmakeable totalMediumCombinatoricsBrainteasersView →
- The same number of tailsMediumProbabilityCombinatoricsView →
- The third shiny pennyMediumProbabilityCombinatoricsView →
- Three dots on a squareMediumProbabilityCombinatoricsView →
- Three ones in a rowMediumProbabilityCombinatoricsView →
- Expected chord intersectionsHardProbabilityCombinatoricsView →
- Expected largest of ten ballsHardCombinatoricsExpected ValueView →
- 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 →
- Aces in a seven-card handMediumCombinatoricsExpected Value Premium
- An ace in the handMediumProbabilityCombinatorics Premium
- Counting straightsMediumProbabilityCombinatorics Premium
- Eight coins, one lightMediumCombinatoricsBrainteasers Premium
- Five distinct ranksMediumProbabilityCombinatorics Premium
- Four distinct birth monthsMediumProbabilityCombinatorics Premium
- Large sum given a sixMediumProbabilityConditional Probability & Expectation Premium
- Pair at a round tableMediumCombinatorics Premium
- Paths dodging a closed intersectionMediumCombinatorics Premium
- Position of the first spadeMediumCombinatoricsExpected Value Premium
- Sum of 10 with three diceMediumProbabilityCombinatorics Premium
- Two face cardsMediumProbabilityCombinatorics Premium
- Ages from product and sumHardCombinatoricsBrainteasers Premium
- Counting two-pair handsHardProbabilityCombinatorics Premium
- Defective stack of coinsHardCombinatoricsBrainteasers Premium
- Handshakes at a dinner partyHardCombinatoricsBrainteasers Premium
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