Tanks OP

Because the full damage build champion is bad, farming most of the game or doing damage to objectives more so than killing while the tank generally has AoE effects and/or % HP damage so they do enough damage to be a threat and not be ignorable.

total damage =/= dps.

carries still deal multiple times more damage than tanks. and if the carry doesnt suck, usually double the amount of a tank over the course of a game.

part of it is because building damage makes you squishy so just their base damage alone can be significant. on the other hand full damage champs should have kits that allow them play safer.