Is it true in probability theory that "anything that can happen will happen"?

Say you're playing Roulette even chances (red/black), the chance of red appearing in a spin is 47.368%.

The chance of getting 10 reds in a row is 0.0568% (0.47368 to the power of 10). The chance of not getting 10 reds in a row is 99.94%.

0.0568/100 x 2000 = 1.136
Therefore, in the long run around 1 string of 10 reds will appear in 2000 rounds of 10 spins each. (sorry martingale players hehe)

Is this correct? Since the probability cannot be reduced 0%, even with 0.0000276% chance of getting 20 reds in a row we will and do get 20 reds in a row. Does it mean that there is even a possibility of 100 reds in a row? Or even 1000 reds in a row? [img]/images/graemlins/shocked.gif[/img]