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, all free to practise. 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 (not in a row)EasyProbabilityExpected 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 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 one-roll divisor gameEasyExpected 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 →
- A convexity gap by JensenMediumRandom VariablesExpected ValueView →
- Aces in a seven-card handMediumCombinatoricsExpected ValueView →
- Balancing six- and eight-sided diceMediumExpected ValueBrainteasersView →
- Boy–girl neighbors in a lineMediumCombinatoricsExpected ValueView →
- Break-even half-spread from toxic flowMediumProbabilityExpected ValueView →
- Break-even half-spread under adverse selectionMediumExpected ValueMarket Making & Betting GamesView →
- Cash out or bustMediumProbabilityExpected ValueView →
- Dice game, up to three rollsMediumExpected ValueStochastic ProcessesView →
- Dice payoff via WaldMediumExpected ValueStochastic ProcessesView →
- Expected absolute difference of two diceMediumExpected ValueView →
- 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 three diceMediumRandom VariablesExpected ValueView →
- Expected maximum of two diceMediumRandom VariablesExpected ValueView →
- Expected median of three diceMediumProbabilityExpected ValueView →
- Expected minimum of two diceMediumRandom VariablesExpected ValueView →
- Expected revenue of a Vickrey auctionMediumProbabilityExpected ValueView →
- Expected value of the highest cardMediumProbabilityExpected ValueView →
- Fair price of a payout that doubles per headMediumExpected ValueMarket Making & Betting GamesView →
- 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 →
- Minimum defense frequency against a betMediumProbabilityExpected ValueView →
- Paid only if the last roll winsMediumExpected ValueView →
- Pay to play with a capMediumExpected ValueMarket Making & Betting GamesView →
- Position of the first spadeMediumCombinatoricsExpected ValueView →
- Pricing a squared payoffMediumExpected ValueMarket Making & Betting GamesView →
- Product of two dice, doubled on doublesMediumExpected 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 →
- Rolls to see both a 1 and a 2MediumExpected ValueView →
- Sharpe ratio in a marble gameMediumExpected ValueStatisticsView →
- The St. Petersburg paradoxMediumExpected ValueMarket Making & Betting GamesView →
- The last lightbulb to burn outMediumRandom VariablesExpected ValueView →
- Bluffing frequency in pokerHardProbabilityExpected ValueView →
- Deriving the first-price shading factorHardProbabilityExpected 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 →
- The all-pay auctionHardProbabilityExpected ValueView →
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