Jane Street–styleAnalystQuantitative AnalystQuestion #595
You are given two identical eggs and a 100-story building. Your task is to determine the highest floor from which you can drop an egg without it breaking.
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More Jane Street–Style Analyst Questions
How can you invert a pyramid of coins by moving only three coins?You flip a fair coin repeatedly and stop flipping after three heads in a row occur. What is the expected number of flips required?How many handshakes occur if every person in a room shakes hands with every other person exactly once?Given that the probability it rains on Sunday is 40% and the probability it rains on the weekend (Saturday or Sunday) is 60%, what is the probability it rains on Saturday?There are 10 castles, numbered 1 through 10, with respective values of 1 to 10 points. You have 100 soldiers to distribute among the castles in any way you choose, and your opponent does the same independently. For each castle, the player with more soldiers wins that castle's points; in the event of a tie, no one receives points for that castle. Additionally, for each castle you win, you lose 0.2 points for every soldier you have more than your opponent at that location. All 100 soldiers must be deployed. Formulate a strategy to maximize your expected score.
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