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If matter and antimatter are both incredible amounts of energy organizing themselves into particles, and having all this energy in one place is what helps that organization, and if matter and antimatter destroy each other and result in a return to energy, then it seems to me that you could have a scenario where matter and antimatter form again and again, flipping the coin until eventually it lands on one side or another due to minutae between the formation of both, which might even be totally arbitrary. Flip a coin enough times, and eventually you likely don't always get exactly 50%. All you'd need is 50.1% and if the energy is going through a cycle of stabilization into matter and antimatter, meeting, annihilation, restabilization, because the coin would keep flipping until you get enough of a 50.1% to have a final outcome.

I suppose the matter antimatter creation/annihilation cycle could happen so fast that as humans we might not have any conception of the number of particles that were created and destroyed -- it could be ten to the power of 200. Given that there's about ten to the power of 80 particles, then that means that you could have only one asymmetry after an unfathomable number of cycles and still have a final answer.