I might be missing something here so correct me if I'm wrong. But if 32 players are seeded how does that affect your chances (as an unseeded player) of drawing one of these guys in the first round? Assume a full field and no byes so there are 128 first round matches. Regardless of where the top 32 guys are on the chart, since my name is in a blind draw I have 32 chances out of 128, or 25%, of catching one of these guys in the first round when the draw begins. Is this not correct? Thanks.
I'm not trying to start an argument, but I do want to point out that this is not correct. Without seeding, some of the top 32 would almost certainly be playing each other, about 8 of them in 4 matches would be likely. In that case the other 224 guys would have 24 chances out of 124, or a 19.35% chance of catching one of those guys in the first round instead of 25%.