Before you ask.....
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Question is, should i trust online roulette tables?
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You should be asking what's with a roulette system ?
Here is the fact of it - There are no bets, no series of bets, no system of bets and no combination of bets that can ever yield a positive expectation.
Scenario 1 - Online roulette is done by random number generator software and is completely "fair" There is no bias towards any number or the like and test runs of millions of spins would seem to confirm this.
In that case no "system" is ever going to win long term because.....see above statement.
Scenario 2 - Online roulette is rigged and is not a random number generator or the like. In that scenario as soon as you begin to win or gain any significant amount it will simply cheat and any system or the like is then rendered useless.
The reality is if you go to a reputable online casino scenario 1 will be the case. The game will be fair but you will never beat it. Simple as that.
The only ways you can ever have any kind of edge in roulette are pretty much taken out by the use of computer. Some roulette dealers are apparently skillfull enough to get the ball to land in a certain segment of the wheel with a reasonable amount of consistency.....collude with one of those and clean up, of course you can't do that at an online casino.
Find a roulette wheel with a bias......chances of that are microscopic I would say. You would need millions of results to have any meaningful data towards detecting a bias, how on earth are you going to get the results of millions of spins from a roulette wheel ? Even if you did detect a bias it is likely to be tiny and probably not enough to meaninguly exploit. Even if you did find a bias large enough to exploit it is still only going to be a tiny percentage you are grinding out and again is gonna take thousands if not millions of spins for any gain to actually show.
Other ways people cheat at roulette are things like "capping" bets....the roulette wheel has stopped and the ball has landed in a number, someone creates a distraction and someone plonks extra money on a winning number etc, these are usually immediately spotted by the eye in the sky if not the supervisors who are watching. Other similar kinda sleight of hand things can be done but again these are all useless at an online casino.
Do you believe 1 + 1 = 2 ? If so you should give up on any roulette system cos roulette systems do not work for that exact reason, maths.
If you want a beatable game you can play in a casino try studying blackjack although again it is not beatable at online casinos cos they shuffle the cards every hand pretty much.