if we know enough about the coin being tossed and the tossing process, the probability factor diminishes and becomes academic altogether...

the tossing of a coin is, if you happen to believe Newton got things pretty much right, a deterministic process. So how does the probability come in? An obvious answer is that probability must surely be a property of our ignorance of the details, not a property of the coin being tossed. The probability isn't a property of the coin, it’s a property of a statement about what the coin will do, made by someone with a certain amount of information...