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Don't fall prey to the schemes, there are thousands, and they are all just that, 'schemes'. 

Not only do these schemes fail beat casino games with a house advantage, they can't even dent it.  Roulette balls and dice simply have no memory. Every spin in roulette is independent of all past events.  The odds of any number coming up on the spin of a roulette table is the EXACT SAME EVERY SPIN!

In the short run you can fool yourself into thinking a betting system works, by risking a lot to win a little. However in the long run no betting system can withstand the test of time and the ratio of money lost to money bet will get closer to the expectation for that game the longer you play.

Some of the commons schemes for roulette:

Wheel Tracking
Some people and books claim that roulette wheels are biased, with a heavy side and a light side. Gravity causes the numbers in the heavy side to hit more often. This I believe used to be true when the quality of the equipment was poor. However modern roulette wheels are much better and very rigorously tested. Only in a casino using a very dated wheel may you be able to find a biased one by testing many thousands of spins. Based on stories I have heard your odds of finding such wheels are probably best in under funded casinos.


Martingale Progression - Closest system that has any merit.

This is the classically simple betting system. The steps are as follows:

Bet the minimum bet. (assuming $5 as the table minimum).
If you lose, double your bet (now $10).
If you now win, you are now up $5, pocket the $5, thus dropping your bet back to $5
If you lose, however, double up again (now $20).
You keep "doubling up" until: you win a spin (with your first winning spin, you will be "up" $5) you hit the table maximum

Once you reach one of the "stopping conditions" above, you start again (betting a fresh $5). In my terminology, I call this "starting a new round".

Observations on this system:

This system is oriented towards "chasing your losses". The bets keep doubling, while you try to wipe out your losses and get $5 ahead.

The result is that you will have many "winning rounds" where you end up $5 ahead. Inevitably, however, there will be losing rounds when you keep doubling-up but you do finally hit the house maximum without a winning spin. So, there are a small number of rounds where you lose a large amount of money. I will re-iterate: even if a very large maximum, you will occasionally reach the maximum and lose a large amount of money. In a real casino situation where the ratio of table maximum to table minimum is between 100:1 and 500:1, you would expect to "max out" every 200 to 1000 spins (on average).
This system is popular because many people can play for quite some time and show winnings... the problem?  eventually, everyone using this system will have a run of losses until they hit the house ceiling, and the end result will be a total loss.
Most casinos in the US, have a table maximum of $1,000.  So lets see how many loses it takes to hit that ceiling...
 done, you can't double to $1,280 with a maximum of $1,000.   Eight spins going against you is not uncommon on a roulette table.  Try a simulator yourself and see what happens.
Our system doesn't have this short coming!
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