Jane Street–styleTrader InternQuant Trader InternQuestion #292
If copying, pasting, and typing a letter each take one second, what is the fastest way to reach at least 200 letters written?
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More Jane Street–Style Trader Intern Questions
In a group of 10 people standing in a circle, how many handshakes occur if each person shakes hands with every other person exactly once?Find the smallest positive integer x such that x raised to the power x (x^x) contains the digits '2016' consecutively. Determine a range [n, 2n] that contains this x. Additionally, specify how much you would bet on your choice and your level of confidence.How many throws of a fair 6-sided die are expected until each number appears at least twice?You roll a 4-sided die and sequentially accumulate the total score from each roll. What is the expected value of the first total that exceeds 100? Follow-up: What if you start at 96 instead of 0?You and an opponent are each given a number uniformly at random between 0 and 1. The player with the higher number wins 1 point from the other. After seeing your own number (but not your opponent's), you can choose to offer 'double' odds or just continue. If you offer double, your opponent, having seen their own number, can either reject the offer (losing 1) or accept it. If they accept, the winner takes 2 points from the loser according to who has the higher number. What is the optimal strategy for playing this game?
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