Quote from: deisik on December 12, 2019, 12:45:52 PM

Quote from: Betwrong on December 12, 2019, 10:11:47 AM

Quote from: deisik on December 11, 2019, 09:02:41 AM

You likely won't hit the same number again

But why? Is it because we are likely to not roll any two numbers in a row, or is there any other reason? What, in your opinion, makes the appearance of a certain number less likely? The fact that this number was just rolled? There are various ways of generating a random number: measuring the radioactive decay of an atom; measuring the atmospheric noise; measuring other processes which can create sufficient entropy needed to generate a random number. Can you imagine a process(among those used for RNG) where the appearance of a certain number becomes less likely for the reason of its recent appearance?

You actually raise valid concerns

Unsurprisingly, I've been thinking about that too (I guess we, the gambling folks, all have been thinking or feeling something to that tune at some point). The existential question is, well, how random is random? I mean if you see two allegedly random distributions but they are distinctively different from each other, can we actually consider them truly random, or at least one of them as not random?

And that gives you an answer to your questions. If two genuinely random distributions are defiantly different in certain ways , we could in fact draw a valid conclusion that there is some form of "memory" involved in the process, which makes it look like certain numbers are more probable after you hit a certain number (e.g. grouping). That's why the casinos should actually be looking for a random distribution that behaves more like a uniform one

For gambling what matter is that you know the odds of winning to establish strategy against other player on a fair game.

If the distribution is biased then the game is about knowing the bias and the distribution to make more profitable bets, a game like this cannot last long for gambling.

But actually its exactly the core principle of poisson distribution that the chances of seing a number depend on the previous sequence, because there is always a constant mean in the result on the long term, so the more it go away from the mean, the more chance it has To rebalance in the next number.

Essentially you have exponentially more chance to see a number at each roll since its last occurrence, the exponential base being the mean, and short for coin tossing ( small amount of potential values), and longer for dice or roulette.