OptiverQuant ResearcherGraduate Quantitative ResearcherQuestion #86
What is the expected number of card draws before encountering an Ace in a standard 52-card deck, assuming cards are drawn one at a time without replacement?
Unlock the Full Solution
Enter your email to get the detailed step-by-step solution to this Optiver interview question, plus access to free interview prep resources.
We'll also send you a free HFT mock interview video.
More Optiver Quant Researcher Questions
You throw a standard die repeatedly, keeping a running total of the sums. What is the probability that when the running total exceeds 100 for the first time, the last die throw is a 2?Six dice are rolled simultaneously. What is the probability that the sum of the numbers shown is an even number?Provide a formal proof for the following: You have two groups of marbles—one group with 1 marble and the other with 2^n marbles. At each step, you can double the size of one group by taking marbles from the other group. Is it possible to reach a state where one group has 0 marbles and the other has 2^n + 1 marbles?What is the expected number of moves required to exit the center of a 10x10 grid, assuming you can move one step in a random direction (up, down, left, right) at each move?What is the probability that, given a random number from 1 through 1,000,000, the digit 7 appears at least once in the selected number?
Get All 120+ Optiver Questions with Solutions
Plus 16+ hours of video lectures, resume tailoring, and 1:1 mentorship from quants.
Schedule a Call