Expected Value Interview Questions for Traders
Traders get asked expected value differently from other quant roles - the emphasis shifts with what the job actually does. This is that slice.
89 questions, 72 of them free to practise right now. The split is 37 easy, 39 medium, 13 hard.
- A die decides how many balls to drawEasyProbabilityExpected ValueView →
- Capped exponential payoutEasyRandom VariablesExpected ValueView →
- Color switches in a drawEasyRandom VariablesExpected ValueView →
- Even first die given a sum of eightEasyConditional Probability & ExpectationExpected ValueView →
- Expected flips after a losing startEasyProbabilityExpected ValueView →
- Expected flips for three headsEasyProbabilityExpected ValueView →
- Expected flips for two heads in a rowEasyProbabilityExpected ValueView →
- Expected profit on a scratch ticketEasyExpected ValueMarket Making & Betting GamesView →
- Expected sets for a favored playerEasyProbabilityExpected ValueView →
- Expected sum given a sixEasyProbabilityExpected ValueView →
- Fair mid on a dice product that voids on doublesEasyProbabilityExpected ValueView →
- Fair price for the higher of two diceEasyExpected ValueMarket Making & Betting GamesView →
- Fair price of a dice-product gameEasyExpected ValueMarket Making & Betting GamesView →
- Fair price of a die that rerolls on a sixEasyExpected ValueMarket Making & Betting GamesView →
- Fair price of a heads-majority betEasyProbabilityExpected ValueView →
- Fair price of a high-faces-only dice sumEasyExpected ValueMarket Making & Betting GamesView →
- Fair price of a higher-die contractEasyExpected ValueMarket Making & Betting GamesView →
- Fair price of a sum-divisible-by-three betEasyExpected ValueMarket Making & Betting GamesView →
- First success on an even trialEasyRandom VariablesExpected ValueView →
- Gap between two dice, given they differEasyConditional Probability & ExpectationExpected ValueView →
- Heads given at least one headEasyExpected ValueView →
- How many sixes on the die?EasyExpected ValueBrainteasersView →
- Keep it or draw againEasyProbabilityExpected ValueView →
- Keep the d8 or gamble on the d12?EasyProbabilityExpected ValueView →
- Matching chips, two drawsEasyCombinatoricsExpected ValueView →
- One re-roll allowedEasyExpected ValueView →
- Paid the last roll before you stopEasyProbabilityExpected ValueView →
- Pairs who swap hatsEasyRandom VariablesExpected ValueView →
- Profit from a favourable stopping gameEasyExpected ValueStochastic ProcessesView →
- Reflipping for valueEasyProbabilityExpected ValueView →
- Rolling a die to size the next dieEasyConditional Probability & ExpectationExpected ValueView →
- Rolling until a high face, at a costEasyProbabilityExpected ValueView →
- Rolling until you match the first rollEasyProbabilityExpected ValueView →
- Rolls until an even sumEasyProbabilityExpected ValueView →
- Squared payout on even facesEasyRandom VariablesExpected ValueView →
- The costliest roulette bet on the tableEasyProbabilityExpected ValueView →
- Which side of a two-sided marketEasyExpected ValueMarket Making & Betting GamesView →
- Balancing six- and eight-sided diceMediumExpected ValueBrainteasersView →
- Boy–girl neighbors in a lineMediumCombinatoricsExpected ValueView →
- Cash out or bustMediumProbabilityExpected ValueView →
- Dice game, up to three rollsMediumExpected ValueStochastic ProcessesView →
- Dice payoff via WaldMediumExpected ValueStochastic ProcessesView →
- Expected fives before the first sixMediumProbabilityExpected ValueView →
- Expected flips for HHTMediumExpected ValueStochastic ProcessesView →
- Expected flips for HTMediumExpected ValueStochastic ProcessesView →
- Expected gap on 30-sided diceMediumProbabilityExpected ValueView →
- Expected maximum of two diceMediumRandom VariablesExpected ValueView →
- Expected median of three diceMediumProbabilityExpected ValueView →
- Expected value of the highest cardMediumProbabilityExpected ValueView →
- First consecutive repeatMediumProbabilityExpected ValueView →
- First to three of a kind in a rowMediumProbabilityExpected ValueView →
- Heads given the ends differMediumConditional Probability & ExpectationExpected ValueView →
- Locking a profit by hedging after the odds moveMediumExpected ValueMarket Making & Betting GamesView →
- Pay to play with a capMediumExpected ValueMarket Making & Betting GamesView →
- Pricing the higher of two diceMediumExpected ValueMarket Making & Betting GamesView →
- Red faces on a diced cubeMediumCombinatoricsExpected ValueView →
- 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 →
- The last lightbulb to burn outMediumRandom VariablesExpected ValueView →
- Three rolls, keep the lastMediumExpected ValueView →
- Expected chord between two random pointsHardProbabilityExpected ValueView →
- Expected largest of ten ballsHardCombinatoricsExpected ValueView →
- Expected local maxima in a shuffleHardProbabilityExpected ValueView →
- Guessing cards from a known pileHardProbabilityExpected ValueView →
- Loops from tying noodlesHardProbabilityExpected ValueView →
- Pairs left in the drawerHardCombinatoricsExpected ValueView →
- Rolling until two rolls are closeHardProbabilityExpected ValueView →
- Rounds to see all faces with two diceHardProbabilityExpected ValueView →
- Runs of red and blue marblesHardCombinatoricsExpected ValueView →
- Smallest card sharing a boxHardProbabilityExpected ValueView →
- A convexity gap by JensenMediumRandom VariablesExpected Value Premium
- Aces in a seven-card handMediumCombinatoricsExpected Value Premium
- Break-even half-spread from toxic flowMediumProbabilityExpected Value Premium
- Break-even half-spread under adverse selectionMediumExpected ValueMarket Making & Betting Games Premium
- Expected absolute difference of two diceMediumExpected Value Premium
- Expected maximum of three diceMediumRandom VariablesExpected Value Premium
- Expected minimum of two diceMediumRandom VariablesExpected Value Premium
- Expected revenue of a Vickrey auctionMediumProbabilityExpected Value Premium
- Fair price of a die with one re-rollMediumExpected ValueMarket Making & Betting Games Premium
- Minimum defense frequency against a betMediumProbabilityExpected Value Premium
- Position of the first spadeMediumCombinatoricsExpected Value Premium
- Pricing a squared payoffMediumExpected ValueMarket Making & Betting Games Premium
- Rolls to see both a 1 and a 2MediumExpected Value Premium
- The St. Petersburg paradoxMediumExpected ValueMarket Making & Betting Games Premium
- Bluffing frequency in pokerHardProbabilityExpected Value Premium
- Deriving the first-price shading factorHardProbabilityExpected Value Premium
- The all-pay auctionHardProbabilityExpected Value Premium
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