# The Table-Tennis Tournament

**Discrete Mathematics**Level 4

I show up to a table-tennis tournament with \(9\) people. I decide to join. Then the tournament starts. The tournament is round robin (you play each other once). The probability that I win any table-tennis game is \(\frac{1}{4}\). The probability that after the tournament is over I won at least \(1\) game can be written as \(\frac{m}{n}\). Find \(m+n\)