HMMT 2012 U30
- Guts
- Answer
You have a twig of length 1. You repeatedly do the following: select two points on the twig independently and uniformly at random, make cuts on these two points, and keep only the largest piece. After 2012 repetitions, what is the expected length of the remaining piece?
Dataset text NuminaMath olympiads. Quoted with source.
Show the answer
\left(\frac{11}{18}\right)^{2012}
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.