General probability scenarios. Mainly expected value of a series of differing dice games.
Quantitative Trader Interview Questions
1,130 quantitative trader interview questions shared by candidates
It consists of 20-30 questions. I was provided a chart with alphabets and asked to calculate the best revenue based on the selection of different sets of alphabets.
Combinatorics based problem they asked
A group of people wants to determine their average salary on the condition that no individual would be able to find out anyone else's salary. Can they accomplish this, and, if so, how?
You roll three dice, remove any pair duplicates and get paid the final sum. How much would you pay for a call option with strike $14
Classic marble weighing problem, you have 12 marbles, one of which is different weight from the other 11 (but unknown whether it's heavier or lighter), and a two-sided balance, find the odd marble using at most 3 weighings (each weighing only reveals whether the two sides are balanced or if one side is heavier).
The price of a stock starts at 100 dollars, then drops 1%, then grows 1%, then drops 1% again and so on. What does the price converge to?
10 lines are placed on the xy-plane. What is the maximum number of intersection points possible?
For uniform (0,1) random independent variables 𝑈1,𝑈2,… define 𝑁=min{ 𝑛: ∑ 𝑈𝑖>1} where sum is from i = 0 to n What is 𝐸[𝑁]
A frog is traveling from point A(0,0) to point B(4,6) but each step can only be 1 unit up or 1 unit to the right. Additionally, the frog refuses to move three steps in the same direction consecutively. Compute the number of ways the frog can move from A to B.
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