☄ alt2005 reveals the math behind roulette and answers questions

I suggest going from the general to the specific. For simplicity, you can start looking for patterns at the level of dozens: 1-2-3. Then move on to sixlines, streets, splits, arbitrary blocks of numbers and specifically to single numbers.

NUM D
29 - 3
31 - 3
20 - 2
23 - 2
26 - 3
11 - 1
7 - 1
6 - 1
22 - 2
10 - 1
6 - 1
22 - 2
9 - 1
7 - 1
17 - 2
25 - 3
5 - 1
7 - 1
29 - 3
33 - 3
28 - 3
35 - 3
7 - 1
18 - 2
0 - 0
29 - 3
0 - 0
21 - 2
25 - 3
24 - 2

26 - 3
9 - 1
0 - 0
36 - 3
0 - 0
14 - 2
10 - 1
26 - 3
36 - 3
17 - 2
25 - 3
31 - 3
1 - 1
28 - 3
31 - 3
36 - 3
17 - 2
29 - 3
29 - 3
7 - 1
18 - 2
10 - 1
24 - 2
22 - 2
36 - 3
21 - 2
16 - 2
27 - 3
4 - 1
26 - 3

14 - 2
0 - 0
8 - 1
26 - 3
30 - 3
7 - 1
8 - 1
30 - 3
4 - 1
15 - 2
2 - 1
15 - 2
3 - 1
22 - 2
8 - 1
14 - 2
15 - 2
24 - 2
1 - 1
0 - 0
27 - 3
21 - 2
2 - 1
32 - 3
3 - 1
17 - 2
18 - 2
28 - 3
3 - 1
24 - 2

alt2005 wrote: The distribution of distances is a mathematical phenomenon, and statistically confirmed a thousand times.

Have you found a way to get around this phenomenon?

I'm looking. In order to get around, you need to find a section where the distances between the numbers (not necessarily adjacent) cluster around some value. It doesn't matter what, as long as it's some kind of constant. If mathematically, then starting from some point it should be like this: the next 25 distances should occupy more than 50% of all the remaining distances. Otherwise, we get a standard geometric distribution, and that's a drain.
Once again. For example, we start betting from spin 100 from the previous number drop, we look for the next drop of this number starting from this spin. If the distances 101...125 are significantly more than half the distances 126...infinity, then this is a plus.

DLK wrote: The concept of "number repeat" is a special case.
I propose to move on to the more general case of "any guessed number".

In theory, all alt2005 calculations are also applicable to any guessed number. In its sample, alt2005 started counting between pairs of identical numbers, and in the general case, counting can be started from the moment the forecast is formed.

Mathematics tells us that we can guess any number from 0-37 with absolutely equal chances of success, because the numbers that came up in the past do not affect the numbers that came up in the future.

But experience, the son of difficult mistakes, tells us that a lot depends on the ability to GUESS numbers. It is very stupid to take numbers out of thin air. There are models that allow you to "be in trend", "catch collisions", "ignore the cold", "take into account adaptive responses", etc., which allows you to increase your efficiency.

If "17" hasn't appeared in the last 50 spins, what's the point of betting on it?

I would like to understand the factors and markers that, despite dry mathematics, will allow us to be harmonious in understanding the generation of spins.

I won't take on guessing the numbers. How will you guess them?
But the rest is true. In general, we should not care about the specific number, they are all equivalent. The number is just a sticker on the wheel, it does not carry any physical meaning. But the distances between the repetitions of these stickers are already subject to probability laws. For convenience, it is easier to take the distances between the same numbers. That is why I say "repetitions".

And here's another thing. About the lack of influence of the past. Yes, the numbers themselves do not influence the future. But let's take the so-called temperatures. Everyone knows that there are cold numbers and hot numbers. At one time, I formalized these concepts. The temperature of a number is the number of different numbers between adjacent occurrences of this number. For example, 0, 2,15, 15, 3, 4 3, 0. The last bold 0 has a temperature of 4, because that is how many different numbers fell between the last zero and its previous occurrence. What's interesting is that the temperatures have exactly the same range 0...36. If you take their falling temperatures instead of numbers, you won't see any differences in the statistics. But the nature of numbers and temperatures is different. If we change some numbers in the past, the future numbers will remain the same, but the temperatures will change. Another question is whether this can be used...

DLK wrote: I suggest going from the general to the specific. For simplicity, you can start looking for patterns at the level of dozens: 1-2-3. Then move on to sixlines, streets, splits, arbitrary blocks of numbers and specifically to single numbers.

It's easier for me to work with numbers. On odds, sixlines, etc., zero is deliberately not taken into account, which already distorts the overall picture. And guessing the numbers is more difficult. And I count on maximum difficulty. But the winnings are also maximum.

ok, let's take the example of click but without W
a man came to the roulette and started to bet 5 numbers, he has a fixed P(win) = 0.135 each move

loss
loss
loss

does he think = what is more, his 0.135 or that the casino will screw him over for the 4th time in a row, another loss?

/////////////////////
here the theory of probability gives a clear answer (0.865)^4 = 0.55984 = 55.984%
i.e. the probability of the next loss is still higher than its 13.5%

that's how events are evaluated