quant-logic — Quantitative Finance Practice Questions

25 free Quantitative Finance questions on quant-logic: 12 easy, 11 medium, and 2 hard, every one exam-realistic and fully explained once you sign in. This is the fastest way to turn quant-logic from a weakness into a scoring area — drill it in 10-question reps with immediate feedback.

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1. Consider a fair coin. What is the expected number of tosses to see the sequence 'Heads-Heads' (HH) for the fir
2. A biased coin is flipped where the probability of heads is 0.7. If heads pays $10 and tails pays $0, calculate
3. A deck of 52 cards is shuffled. What is the expected number of cards that are in their 'correct' position (e.g
4. What is the expected number of defaults in the portfolio?
5. A random variable X represents a 'cash-or-nothing' bet that pays $100 with probability p = 0.25 and $0 otherwi
6. Which expression correctly defines the expected total number of profitable signals?
7. If E[X] = 10 and E[Y] = 20, what is E[3X - 2Y + 5]?
8. If you are given $100 and then flip a fair coin where heads means you lose $50 and tails means you lose nothin
9. Under what structural condition does the linearity of expectation, defined as E[X + Y] = E[X] + E[Y], hold for
10. What is the expected value of a random variable X that represents the outcome of a fair 10-sided die (labeled
11. What is the expected value?
12. What is the expected value?
13. Calculate the expected number of tosses for the pattern TTH using a fair coin.
14. If a biased coin has P(H) = 0.25, what is the expected number of flips to see the first head?
15. If a player is forced to stop on the first roll of a 6-sided die only if it is a 5 or 6, and must re-roll othe
16. If P(H) = p = (1)/(3), find the expected number of tosses to get HH.
17. If you flip a biased coin with P(H) = p until you see k heads (not necessarily consecutive), what is the expec
18. In the context of dice games with re-rolls, what does the 'indifference point' represent?
19. What is the expected number of tosses for the pattern THH with a fair coin?
20. What is the expected number of tosses to see the pattern TH if P(H) = p = 0.4?
21. A player rolls a fair 10-sided die and can roll a second tim… — What is the expected value of this game using
22. In a fair Gambler's Ruin problem where a player starts with i and targets N, what is the expected number of ro
23. In a sequential-choice game with N possible items, if the player's goal is to maximize the *expected value* of
24. Using the optimal strategy (reject the first r-1, then take the first number exceeding all seen so far), the o
25. What is the expected net payoff per play?