Roulette: betting Systems
The study of betting systems or progressions to win at roulette is a phenomenon predominantly seen in Italian and French cultures.
Let me clarify that we're discussing a random number generator here. If we were dealing with a non-random generator, the considerations would be entirely different.
Over the past 100 years, we've witnessed the proliferation of dozens, if not hundreds, of techniques aimed at achieving a profit by increasing or decreasing the bet amount.
These strategies are inevitably destined to fail sooner or later. Only an infinite increase in the bet can lead to a mathematical victory in roulette. However, the presence of maximum bet limits (absorbing barriers) makes unlimited bet increases impossible. From a mathematical standpoint, roulette is unbeatable. This holds true regardless of the method used to increase the bet. Let me explain further. Any progression will allow us to accumulate profit chips until we encounter an "opposite" figure that causes the "jump." On average, this will happen a number of times, precisely to absorb the chips won (with interest due to the negative expected value).
In other words, sooner or later, the capital jump will undoubtedly occur. Since the game of roulette is symmetrical (in a hypothetical game without 0), winning strategies in the long run will exactly offset the losing ones, resulting in a break-even. However, since casinos aren't kind enough to eliminate the 0, in the real world, the gambler will lose 1.35% (or 2.70%) of the volume played.
So, is it all useless?
Not exactly. The negative event can be delayed with the convergence of two techniques:
1. The strength of capital
2. Partial recoveries
At this point, someone might ask: what's the point of delaying the loss? It will happen eventually, right? It almost seems like "prolonging the agony"!
In theory, this is true. And even in practice. But our “player's career” isn't infinite.
If we manage to devise a betting progression that makes the capital jump highly improbable, we can play with peace of mind.
This section will work closely with the one dedicated to the theory of gambling: our goal is to propose advanced and unprecedented financial strategies, quantifying their risk and return.
A betting progression must always be accompanied by objective parameters. The most important are:
- - Return (preferably average) for a completed attack and its relative percentage
- - Loss (as above) in case of failure and its relative percentage.
Experts from Beatablegames, Vallesurda, arcane, and FM have developed a formula capable of comparing progressions, giving them a value (a function, among other things, of return and exposure), the FabDom index.
The higher this index, the better the progression. The maximum value of the index achievable is by definition 1. For now, we do not publish it, as it is a proprietary formula.
These are extremely technical considerations, intended for mathematicians (we were not the first; other colleagues have developed similar indices).
For simple maneuvers like the martingale, G7, Garcia, D'Alambert, etc., parameters and the FabDom index can be calculated mathematically. Other maneuvers, being much more complex, require simulations (normally more than 200 million spins played but it depends).
But, and I hope it's obvious, no maneuver is suitable for professional play.
Below are some maneuvers: a complete list would require dozens of pages and would still be completely useless.