roulette is a memoryless game. any casino that would kick you out for doing that is run by idiots.
On the flip side, I have heard of a way that you can possibly beat routlette. The theory goes like this: each croupier has a certain throw style. If you know where the ball is released, certain parts of the wheel have a greater chance of being landed on than others. Since you are allowed to bet after the ball is thrown, observe where the ball is released, then bet on the correseponding parts of the wheel that are most likely to come up. In order to pull this off, you would need a large amount of data on a particular croupier. So, record where the ball is released and where it ends up, then calculate the "offset" (distance from ending point to the starting point). Once you've seen hundreds or thousands of throws, you should have a probability distribution for each offset. Given that you have the roulette wheel memorized, when the croupier releases, bet on the numbers with the most probable offsets.
The one underlying assumption is that the throw style of the croupier impacts where the ball lands. I have no idea if that is true (I have heard it is but who really knows), but if it is everything I said is correct. The other catch is you will need to observe a particular croupier for hours. I am guessing this will look suspicious and CAN get you kicked out of a casino.