Jane Street–styleTraderTradingQuestion #468
You have a truck that can carry up to 1,000 apples and must transport 3,000 apples from your farm to a market 1,000 miles away. The truck has a hole that causes it to irrecoverably drop 1 apple per mile traveled. You may drop apples off in secure boxes along the road to pick them up later, but the truck can still hold only 1,000 apples at a time. What strategy maximizes the number of apples delivered to market?
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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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