Most students of roulette assert that each ball played is independent in each throuw and, in the context of this perspective, they are absolutely right. This, however, is only part of the truth.
Simira takes exception to the apparent autonomy of any given number showing up on the wheel, demonstrating instead that this event is dependent on the preceding or following event of the number which showed up or is about to show up in the same wheel.
Statistics always start at any given throw in the so-called roulette sessions, except that, in all cases, only actual cases are used (for obvious reasons, if studies are to be serious) for the purposes of the intended research.
When studies end, or an end is put to the studies, rather (it is commonplace use figures ranging from 1,000 to 10,000 consecutive balls), Bernouilli's Law of large numbers rules relentlessly.
No doubt, the frequency of winning calls immediately follow the pattern discovered inside the roulette wheel, while precise, determining law of physics limit the adverse element of the law of probability in this game of mechanical movement.