Comments on: Can You Solve My Problems?
https://blog.tanyakhovanova.com/2017/03/can-you-solve-my-problems/
Mathematics, applications of mathematics to life in general, and my life as a mathematician.Fri, 31 Mar 2017 23:45:10 +0000
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By: James
https://blog.tanyakhovanova.com/2017/03/can-you-solve-my-problems/#comment-12488
Fri, 31 Mar 2017 23:45:10 +0000https://blog.tanyakhovanova.com/?p=1281#comment-12488The smallest piece will be on the interval (0,50]. Each outcome except 50 is equally likely since there are two ways of cutting the stick to get each numbers on (0,50) while there is only 1 way to cut the stick so that the smaller stick is 50. So, roughly speaking, it seems like it should be 1/4.
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By: Gerhard
https://blog.tanyakhovanova.com/2017/03/can-you-solve-my-problems/#comment-12485
Thu, 30 Mar 2017 08:44:00 +0000https://blog.tanyakhovanova.com/?p=1281#comment-12485The answer to the sticky problem should be the value of the integral from 0 to 1, of the minimum of x and 1-x.
(The cut is made at point x, and produces a piece of length x and a rest piece of length 1-x.)
This value is 1/4.
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