Probability Questions for Options Trading Interviews
A options trading round does not test probability the way a textbook does. This set is the overlap - the probability questions that actually turn up in this format.
59 questions, all free to practise. The split is 34 easy, 20 medium, 5 hard.
- 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 →
- Both red among the top twoEasyProbabilityConditional Probability & ExpectationView →
- 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 →
- First tail within two flipsEasyProbabilityView →
- Four dice summing to twentyEasyProbabilityCombinatoricsView →
- Hopping rabbit, up to three stepsEasyProbabilityCombinatoricsView →
- Keep the d8 or gamble on the d12?EasyProbabilityExpected ValueView →
- More heads than tails in six flipsEasyProbabilityView →
- One blue die matches the redEasyProbabilityView →
- Rolling until you match the first rollEasyProbabilityExpected ValueView →
- Rolls until an even sumEasyProbabilityExpected ValueView →
- Seven before six or eightEasyProbabilityCombinatoricsView →
- The first die beats the secondEasyProbabilityConditional Probability & ExpectationView →
- The higher die shows a fourEasyProbabilityView →
- 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 →
- Ways to reach deuceEasyProbabilityCombinatoricsView →
- Which side holds the heavy weightEasyProbabilityCombinatoricsView →
- A 5 before a 7MediumProbabilityView →
- An ace in every pileMediumProbabilityCombinatoricsView →
- At least two sixes in five rollsMediumProbabilityRandom VariablesView →
- 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 →
- Four fives before the first sixMediumProbabilityRandom VariablesView →
- Large sum given a sixMediumProbabilityConditional Probability & ExpectationView →
- Minimum defense frequency against a betMediumProbabilityExpected ValueView →
- Prime sumMediumProbabilityView →
- 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 →
- Tennis: two sets or three?MediumProbabilityView →
- Three ones in a rowMediumProbabilityCombinatoricsView →
- Two uniforms summing below a halfMediumProbabilityRandom VariablesView →
- Distinct toys from seven boxesHardProbabilityExpected ValueView →
- Exactly one pairHardProbabilityCombinatoricsView →
- Rolling until two rolls are closeHardProbabilityExpected ValueView →
- Rounds to see all faces with two diceHardProbabilityExpected ValueView →
- Two random subsets that overlapHardProbabilityCombinatoricsView →
Widen the search
This set is a slice of two larger ones. If it is too narrow, start here instead:
Practise these free
Create a free account to check your answers, track what you have solved, and run the timed simulators.