Jane Street–styleTraderJunior TraderQuestion #639
You have 3,000 apples to transport from city A to city B, which are 1,000 miles apart. When there are apples on the truck, one apple is consumed per mile driven. Assume unlimited gasoline. What is the maximum number of apples that can be transported to city B? Given your answer is x, what market would you make on a lottery: you win $10 if your answer is correct, otherwise $0. (All calculations must be done without pen and paper.)
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More Jane Street–Style Trader Questions
A car has a uniformly distributed value between 0 and 1000. If you bid less than this value, you get nothing but keep your bid. If you bid more than this value, you can sell the car for 1.5 times the value. What should you bid? The surface of a 3x3 block is painted. The block is split into 27 cubes and one is dropped on the floor. What is the probability that no visible face is painted? If no visible face is painted, what is the probability that it is the center cube?You flip 4 fair coins and receive $1 for each coin that lands heads. What is the expected value of your total winnings?If you roll two dice, and you have the option to roll again and get paid the highest roll, when is it optimal to reroll?What is 2,000,000 minus 2,022?How many digits does 99 raised to the 99th power have?
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