I was responding to this of yours:
If the Roulette ball falls on red 10X in a row, it is worth betting on black next time
And that's wrong. In this context, I assume worth means the probability of winning, Otherwise, what can "worth" even mean? And that is the same, for any number of independent trials, REGARDLESS of what color came before. Definition of independent!
I have no idea what you meant after that but it won't change the fact that it is NOT worth betting on black next time. Not any more than betting on red. If you're saying something else, please explain. You're getting as cryptic as the Abdominable Abd.
Bob Alan was not discussing the probability of getting 10 spins resulting in the same color in a row. He implied that prior results affected the next trial. They don't. I'm pretty sure he knows that so the point, if any, he was trying to make, eludes me. And knowing Alan from prior reading, he is not likely to make it clearer.