Jane Street–styleInternInternQuestion #541
Consider a game where you roll a fair six-sided die. What is the expected value of a single roll? What is the expected value if you can roll twice and either keep the result of the first roll, or discard it and are forced to keep the second roll? How does this extend to three rolls or an infinite number of rolls?
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More Jane Street–Style 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?
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