Tackling the problem of the average of all possibilities being 1.
Let's assume something either happens or doesn't happen. We'll represent something happening as a 1 and nothing happening as a 0.
Now consider that if we have a possibility that could be a 1, then there is a possibility of it being a 0 as well.
You might ask the question "why" or "how do you know this?"
I will answer saying because it assumes an element of probability as opposed to a to a definitive answer.
Then you might ask once again how I know this.
I would say there are two types of knowledge: those that are facts and those that where there is more than one correct answer.
So you could say anything where there is more than one correct answer is something that could either happen or not happen.
Now that we have established that something could either happen or not happen consider:
Say we have an infinite string of 0's and 1's as such:
1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0 ... ect.
Now going back to what I said at the beginning, that if we have a possibility that could be a 1, then there is a possibility of it being a 0 as well.
So then let's say we take the inverse of the first infinite string of 0's and 1's:
0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1
Now suppose we were to take the average of both things that could potentially happen:
1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0 ... ect. +
0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1 ... ect
What do you get?
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ... ect.
Now divide that by it's sum..
You would get a 1.
Still working on getting the kinks out of the rest of this, but let me know if that is a decent starting point.