# Unfair Game

Author: mathforces
Problem has been solved: 31 times

Русский язык | English Language

You are playing a game with Lin and Nil. Each of you will choose a number from 0 to 1 and the one whose number is between the numbers of the other two players wins. Lin told you that he would choose a number between $\frac{1}{2}$ and $\frac{2}{3}$. Let $\frac{m} {n}$ be an irreducible fraction - the number that is more likely to bring you victory in this game. What is $\|m + n\|$ equal to?