Jane StreetInternSummer InternQuestion #641
I have a 12-sided die and you have a 20-sided die. Each of us gets up to two rolls, and on either roll, we can choose to stop and keep the number from that roll. Whoever has the higher number wins, with ties going to the person with the 12-sided die. What is the probability that the person with the 20-sided die wins this game?
Unlock the Full Solution
Enter your email to get the detailed step-by-step solution to this Jane Street interview question, plus access to free interview prep resources.
We'll also send you a free HFT mock interview video.
More Jane Street Intern Questions
Design a real-time system to process millions of trades per second. How would you ensure low latency, fault tolerance, and exactly-once processing?If I roll two dice, what is the expected value of the product of the two faces?Suppose we play a game with a die where we roll and sum our rolls. We can stop at any time, and the sum is our score. However, if our sum is ever a multiple of 10, our score becomes zero and our game is over. What strategy will yield the greatest expected score? What about if the target multiple is a value other than 10?Implement the game Tetris in 30 minutes.What is the optimal strategy for winning in rock-paper-scissors if your opponent can only choose between rock and paper?
Get All 664+ Jane Street Questions with Solutions
Plus 16+ hours of video lectures, resume tailoring, and 1:1 mentorship from quants.
Schedule a Call