MathDB

29

Part of 2016 Harvard-MIT Mathematics Tournament

Problems(1)

2016 Guts #29

Source:

12/24/2016
Katherine has a piece of string that is 20162016 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?