This is fun math to play with, but completely misses the point of how and why options are priced the way they are. Think of horse racing - when a horse is 1000 to 1 odds the odds of that horse winning are much, much lower. The odds are non-zero, but the oddsmakers are considering who the other side is and why they are buying that ticket.

Most options are actually used to hedge large positions and are rolled over well before the "due date". YOLOing calls and puts is a Robin Hood phenomenon and the odds of "fair pricing" are heavily affected by these big players, so using that data as some sort of price discovery is flawed from the get go.