WARNING: MATHEMATICAL LOGIC INCOMING. IF THE OP CANNOT HANDLE LOGIC, PLEASE TELL HIM TO AVERT HIS GAZE
ASSUMPTIONS:
- There are 132 champions thus far released.
- Assume pessimistically that every champion is available to every player.
- Assume on average 5 re-rolls per team per game
- Assume if any of the players recieves one of your listed OP champs, they will keep it
- Each team then has options to pick among ~10 champions
- Thus there are ~20 champions to select from in each game, not rerolling the strongest.
THEREFORE:
The odds of a champion who is perceived to be 'over-powered' existing in any ARURF game, is 20/132. The expected number of said champions showing up in 25 games is 25x20/132 = 5.682. Keep in mind that not all champions are owned by most accounts, so you would expect to see AT MINIMUM 5.682 of any champion that is preferred by the player base across 25 games.
As per your own statistics:
5 tryndamere + 7 ekko + 1 zed + 1 shaco + 1 Gp + 5 Nasus + 3 rengar + 2 karma + 10 sona + 15 wukongs + 7 evelyns = 57 occurrences across 11 op champions, resulting in an average of only 5.18 occurrences of each champion in the 25 games.
By this analysis, I hope you can see that you are in fact lucky that across the 250 champions in your 25 games that you have only seen this many of these powerful champions. In reality, you should find them much more commonly, even if every player owned every champion. Considering that many of the champions you listed are owned on almost every account past lv 30, the disproportionate weight of these champions should have made Tryndamere show up approximately 10-15 times already.
Your argument is invalid. Q.E.D.
Note for anyone scrutinizing the mathematics: The 20/132 ratio is for simplicity's sake. The odds should in reality be increased in the event of duplicate opponents, and decreased to remove the chance of non-duplicate possibilities on the same team. Due to the number of general assumptions already made, these two deviations can nearly cancel each other out and are ignore by comparison.