Null hypothesis: Matter, as opposed to antimatter, preferentially generated from the interaction of high energy electromagnetic radiation.
I assume that is defined by E=MC2. That would mean that the proton, though of equal charge to the electron, would contain much more energy, right? Sounds reasonable in that it would take more energy to hold together more mass.
I still don't understand how one manufactures or captures anti-protons for the purposes of experimentation.
As far as your coin flips are concerned, you are talking about the Law of High Numbers which states that the higher the number of tries, the more consistent the probability laws. With high enough tries the deviation from 50/50 becomes insignificant.
Accuracy probably has to do with the number of states — a coin having two states. Our global climate system having a bazillion.
The whole AWG thing was never vetted.