Expected Value Questions for Numerical Reasoning Tests Interviews
A numerical reasoning tests round does not test expected value the way a textbook does. This set is the overlap - the expected value questions that actually turn up in this format.
51 questions, 42 of them free to practise right now. The split is 24 easy, 25 medium, 2 hard.
- A die decides how many balls to drawEasyProbabilityExpected 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 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 heads-majority betEasyProbabilityExpected ValueView →
- Fair price of a high-faces-only dice sumEasyExpected ValueMarket Making & Betting GamesView →
- Fair price of a sum-divisible-by-three betEasyExpected ValueMarket Making & Betting GamesView →
- Gap between two dice, given they differEasyConditional Probability & ExpectationExpected ValueView →
- Keep it or draw againEasyProbabilityExpected ValueView →
- Keep the d8 or gamble on the d12?EasyProbabilityExpected ValueView →
- One re-roll allowedEasyExpected ValueView →
- Paid the last roll before you stopEasyProbabilityExpected ValueView →
- Pairs who swap hatsEasyRandom VariablesExpected ValueView →
- 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 →
- Balancing six- and eight-sided diceMediumExpected ValueBrainteasersView →
- Cash out or bustMediumProbabilityExpected ValueView →
- Dice payoff via WaldMediumExpected ValueStochastic ProcessesView →
- Expected flips for HTMediumExpected ValueStochastic ProcessesView →
- Expected maximum of two diceMediumRandom VariablesExpected ValueView →
- Expected median of three diceMediumProbabilityExpected ValueView →
- Expected value of the highest cardMediumProbabilityExpected ValueView →
- First consecutive repeatMediumProbabilityExpected 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 →
- Sharpe ratio in a marble gameMediumExpected ValueStatisticsView →
- Three rolls, keep the lastMediumExpected ValueView →
- Expected local maxima in a shuffleHardProbabilityExpected ValueView →
- Rolling until two rolls are closeHardProbabilityExpected ValueView →
- A convexity gap by JensenMediumRandom VariablesExpected Value Premium
- Break-even half-spread from toxic flowMediumProbabilityExpected Value Premium
- Break-even half-spread under adverse selectionMediumExpected ValueMarket Making & Betting Games Premium
- Distinct birthdays representedMediumProbabilityExpected Value Premium
- Distinct faces in five rollsMediumCombinatoricsExpected Value Premium
- Empty boxesMediumExpected Value Premium
- Expected maximum of three 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
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. Premium unlocks a full worked solution for every question.