# Random numbers

Author: mathforces
Problem has been solved: 14 times

Русский язык | English Language

The numbers $a$, $b$ and $c$ are randomly selected on the segment $[0,1]$. Let the irreducible fraction $\frac{m}{n}$ be the probability that $| a-b | <\frac{1}{2}$ and $| a-c | <\frac{1}{2}$. What is the value of $m^2+n^2+m^2n^2$?