Content warning: Sloppy statistics and a chance of horrible mistakes.
One interesting question regarding various mechanics is ‘How long does it take to figure out who is better?’ Characters in the world don’t observe each other’s bonuses but rather the results of the checks and checks have a random component in them. So it is very much possible that a more skilled character loses multiple times to a less skilled one. Luckily, we can use (or abuse) a few methods from statistics to take a stab at this problem.