Examining an event. Let's say we flip a fair coin many times. Let's say **1.000.000** times. We know that even though each flip is not connected, influenced by past or future flips, in the long run each side heads or tails will end up approximately around **500.000** (**50/50** event - theory of equilibrium) 

My question is: What price ranges can the difference take between heads and tails throughout the **1.000.000** flips? 
For example, if we could see the results at **1892** flips we may have witnessed a "**70**" difference (**981** Heads over **911** Tails). 

Or maybe if we could see the results at **15250** flips we may have witnessed a "**6**" difference (**7622** Heads over **7628** Tails) 

So... What could be considered a **normal** difference range? $\pm 70$? $\pm50$? 
And what could be considered an **EXTREME RARE** difference range somewhere in the flips? $\pm500$ $\pm2000$? $\pm10.000$?