“So, in my book, no matter the underlying probabilities, a game where you cannot make a single 100% certain prediction, in which every spin outcome is unpredictable, is a random game.”
Kav, I agree with your statement.
Every single spin will have independent or unpredictable outcome.
However, what Bayes may have been alluding to when he says “sequence of spins” or what I call a “group of spins”, we can put a “limit” on roulette and make it more predictable.
Let me rephrase this, each spin is independent and unpredictable, but each “group of spins” may not be.
Let me give you a quick example of “groups of spins” and “limits”
Van De Waerden, a Dutch Mathematician, has a theorem that basically says that in a “group of 9 spins” you will ALWAYS have a completed Arithmetic Progression.
This is a 100% certain prediction.
AP players use the Laws of Physics to make their bet selection. I am suggesting we use the Laws of Math and Statistics to make our bet selection.