It's ok to talk about balance, but what about the truth? As grown-ups, we should at least attempt to give reasoned arguments and/or some evidence for our assertions, don't you think?
The problem with you AP guys is that you are having perfect eyesight but continue to act like blind men.
How many times have you played the game? Did you pay any attention while playing?
Have you noticed that even if sometimes there will be 20+ consecutive EC (R or B, L or H, O or E) in a row, but in the spins which follow they start to even out. To ensure there is no confusion, I'm going to give you one school example and every player which has played on roulette for real and is having good memory to remember the numbers will confirm my claims.
If you sit on the table and observe 100 spins and let say there are 35 REDs and 65 BLACKs, zero has slept (this 35% to 65% ratio is something that you will not see every day - most of the time it will fluctuate and be from 40 to 48% compared with the opposite even chance).
If you have the opportunity to see something like this, you can WITH 100% CERTAINTY expect to see at least 45 REDs in the next 100 spins (200 spins X 40% = 80 REDs - 35 REDs (already appeared in the first 100 spins) = 45 REDs). You can be sure that this will happen because it happens all the time.
So, how can we use this knowledge in our advantage?
With patience of course. We will wait just a little more. Every black number that shows up bring us closer to our winnings.
If in the first 20 spins from the second 100 spins 15 BLACKs and only 5 REDs appear, in the remaining 80 spins there will be at least 40 REDs: this means that if we use only flat bets we will get even in the end of this 100 spins sequence. And using non aggressive progression will bring us the profits for sure.
Hint: Even in smaller samples then 200 spins you can notice the working of the law of equal distribution.
This is not the approach that I'm using, this is just one practical example about how winning is done in the game of roulette.
Good luck all,