Okay, I play a lot of CSGO, which is notorious for cheating. I have encountered 7,836 unique players, and 447 of those people have been banned after I played against them for cheating. Coming out to roughly 5.7% of players I've played with or against have been banned.

If there are 10 people, including myself, per game what is the probability of having a game with a cheater in it?

If anyone could calculate this for me, I would greatly appreciate it!