Options Trading Interview Questions for Traders
The same round is marked differently depending on the seat you are interviewing for. This is the options trading set as it applies to traders.
97 questions, 81 of them free to practise right now. The split is 56 easy, 39 medium, 2 hard. The topics that come up most are probability (56), expected value (31), combinatorics (17), market making & betting games (12).
- A dice sum divisible by threeEasyProbabilityView →
- A die with one face decrementedEasyProbabilityConditional Probability & ExpectationView →
- A dry weekend, assuming independenceEasyProbabilityView →
- A heart or a king given redEasyProbabilityConditional Probability & ExpectationView →
- A sum of four before a sum of twoEasyProbabilityView →
- A three given a sum divisible by threeEasyProbabilityConditional Probability & ExpectationView →
- Ants on a squareEasyProbabilityBrainteasersView →
- Average speed over three lapsEasyBrainteasersView →
- Bacteria doubling on a clockEasyBrainteasersView →
- Both red among the top twoEasyProbabilityConditional Probability & ExpectationView →
- Capped exponential payoutEasyRandom VariablesExpected ValueView →
- Counting flushesEasyProbabilityCombinatoricsView →
- Dots on distinct edgesEasyProbabilityCombinatoricsView →
- Even count until the coin repeatsEasyProbabilityView →
- Exactly one ace in three drawsEasyProbabilityCombinatoricsView →
- Expected sets for a favored playerEasyProbabilityExpected ValueView →
- Face card or heartEasyProbabilityView →
- Face or ace given a red cardEasyProbabilityConditional Probability & ExpectationView →
- Fair odds on a parlayEasyMarket Making & Betting GamesView →
- Fair price of a high-faces-only dice sumEasyExpected ValueMarket Making & Betting GamesView →
- Fair price of a higher-die contractEasyExpected ValueMarket Making & Betting GamesView →
- First success on an even trialEasyRandom VariablesExpected ValueView →
- First tail within two flipsEasyProbabilityView →
- Four dice summing to twentyEasyProbabilityCombinatoricsView →
- Heads given at least one headEasyExpected ValueView →
- Hopping rabbitEasyProbabilityCombinatoricsView →
- How many sixes on the die?EasyExpected ValueBrainteasersView →
- Keep the d8 or gamble on the d12?EasyProbabilityExpected ValueView →
- Matching chips, two drawsEasyCombinatoricsExpected ValueView →
- More heads than tails in six flipsEasyProbabilityView →
- One blue die matches the redEasyProbabilityView →
- One re-roll allowedEasyExpected ValueView →
- Present value of a deferred growing perpetuityEasyFinance & DerivativesView →
- Probability two dice sum to a primeEasyProbabilityCombinatoricsView →
- 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 →
- Sizing a put–call parity mispricingEasyFinance & DerivativesView →
- Spread of a coin-flip payoffEasyRandom VariablesStatisticsView →
- Summing n plus one over two to the nEasyCalculusView →
- The higher die shows a fourEasyProbabilityView →
- The straddle's upper breakevenEasyFinance & DerivativesView →
- Three dice, increasingEasyProbabilityCombinatoricsView →
- Three distinct dice, no sixEasyProbabilityCombinatoricsView →
- Three primes in six rollsEasyProbabilityView →
- Three-dice total given the firstEasyProbabilityConditional Probability & ExpectationView →
- Top three dice summing to eighteenEasyProbabilityCombinatoricsView →
- Two mismatched diceEasyProbabilityView →
- Value of the put insurance in a crashEasyFinance & DerivativesView →
- Variance of a reciprocal uniformEasyRandom VariablesStatisticsView →
- Ways to reach deuceEasyProbabilityCombinatoricsView →
- Where the maximum landsEasyRandom VariablesStatisticsView →
- Which side holds the heavy weightEasyProbabilityCombinatoricsView →
- Which side of a two-sided marketEasyExpected ValueMarket Making & Betting GamesView →
- A 5 before a 7MediumProbabilityView →
- An ace in every pileMediumProbabilityCombinatoricsView →
- Bridge and torchMediumBrainteasersView →
- Cash out or bustMediumProbabilityExpected ValueView →
- Coin sets the number of dice rollsMediumProbabilityConditional Probability & ExpectationView →
- Eight dice summing to twelveMediumProbabilityCombinatoricsView →
- Expected fives before the first sixMediumProbabilityExpected ValueView →
- Expected gap on 30-sided diceMediumProbabilityExpected ValueView →
- Expected median of three diceMediumProbabilityExpected ValueView →
- Filling a pool with the drain openMediumBrainteasersView →
- Four fives before the first sixMediumProbabilityRandom VariablesView →
- Heads given the ends differMediumConditional Probability & ExpectationExpected ValueView →
- Locking a profit by hedging after the odds moveMediumExpected ValueMarket Making & Betting GamesView →
- Matching penniesMediumMarket Making & Betting GamesView →
- Pay to play with a capMediumExpected ValueMarket Making & Betting GamesView →
- Pricing the higher of two diceMediumExpected ValueMarket Making & Betting GamesView →
- Profit on a risk reversalMediumFinance & DerivativesView →
- 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 →
- Sizing a cross-book arbitrage lockMediumMarket Making & Betting GamesView →
- Tennis: two sets or three?MediumProbabilityView →
- Three ones in a rowMediumProbabilityCombinatoricsView →
- Three-jug measuringMediumBrainteasersView →
- Rolling until two rolls are closeHardProbabilityExpected ValueView →
- Rounds to see all faces with two diceHardProbabilityExpected ValueView →
- Return speed for a target averageEasyBrainteasers Premium
- The first die beats the secondEasyProbabilityConditional Probability & Expectation Premium
- Ants on a stickMediumBrainteasers Premium
- At least two sixes in five rollsMediumProbabilityRandom Variables Premium
- Break-even half-spread under adverse selectionMediumExpected ValueMarket Making & Betting Games Premium
- Eight coins, one lightMediumCombinatoricsBrainteasers Premium
- Expected absolute difference of two diceMediumExpected Value Premium
- Large sum given a sixMediumProbabilityConditional Probability & Expectation Premium
- Maximum loss on a collarMediumFinance & Derivatives Premium
- Minimum defense frequency against a betMediumProbabilityExpected Value Premium
- Optimal quote widthMediumMarket Making & Betting Games Premium
- Prime sumMediumProbability Premium
- Put–call parity arbitrageMediumFinance & Derivatives Premium
- Rare-event Poisson approximationMediumProbabilityRandom Variables Premium
- Two uniforms summing below a halfMediumProbabilityRandom Variables Premium
- Wine and waterMediumBrainteasers Premium
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