HMMT 2016 U29
- Guts
- Answer
Katherine has a piece of string that is 2016 millimeters long. She cuts the string at a location chosen uniformly at random, and takes the left half. She continues this process until the remaining string is less than one millimeter long. What is the expected number of cuts that she makes?
Dataset text NuminaMath olympiads. Quoted with source.
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1+\log (2016)
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