(At this point, I don't think there are any hostilities, because you seem to be willing to try to understand the point I'm making and have stopped accusing me of not getting your point.)

Quote:

**AtheistGuy1**:

Let's say "yes" for argument's sake.

I mean, it's pretty hard to say no to that first point I was making. The problem with the first point I was making is that it requires a dream world where there are no trolls, and we both know that simply doesn't exist. Regardless though, we know that SOME portion of matches we play have zero trolls in them (even if it's a ridiculously small portion), and we've now established that, assuming we have equal skill to the average for our Elo level, we will have a 50% win rate in matches in which there are 0 trolls.

So next we're going to look all the various scenarios where there are trolls in your match.

In my first explanation, I only showed the math for when there is 1 troll in the math, but that same math can be extrapolated to any number of trolls (1 to 9, since you're the 10th and not a troll). But right first, I want to look at 4 special cases and establish win rates for these 4 special cases.

The four special cases of possible trolls are when there are an equal number of trolls on both teams.

Scenario 1: Each team has 1 troll.

Scenario 2: Each team has 2 trolls.

Scenario 3: Each team has 3 trolls.

Scenario 4: Each team has 4 trolls.

If we can agree that in the scenario where both teams have 0 trolls, we have a 50% win rate, then can you also agree that in all four of these scenarios where both teams have the same number of trolls, we also have a 50% win rate?

Yes, there's still luck, and in some cases your team's trolls may be trolling harder than the other teams trolls. But just like before, we know that in the long rung, luck will swing both ways, and the enemy team's trolls will also be the harder trolls in some cases, so over a sample size of something on the order of at least 1000 games, each team would win roughly 500 games, right?

Are we still agreed up to this point?

So far, I think everything I've explained is pretty easy to agree to (although, so far, I also haven't demonstrated how one team gets more trolls than the other, not yet, but we're getting to that part).