Every roll is independent from the previous one, what you're mentioning as systematically is called Martingale and it requires unlimited bankroll because there is no guarantee that even after hitting 10 reds you'll hit a green at the 11th roll. Try it if you don't believe this, you'll learn yourself soon enough.
So there is no statistical probability of having odd and even ~50:50?
I understand that with unlimited bank you will be close to it by the law of large numbers