Jane Street–styleTraderTrader AssistantQuestion #286
You are trying to get to Orlando, which is 800 miles away. You have 2,500 apples and a truck that can hold 1,000 apples at a time. You have unlimited gas, can take as many trips as you like, and can store apples anywhere along the road to pick up later. However, for every mile you drive, one apple falls out of the truck and is lost forever. What is the maximum number of apples you can deliver to Orlando? Solve this mentally, without paper or pencil.
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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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