Did you flip the coin in the exact same way? Probably not.

That's the clue - you never repeat the same activity exactly the same way.

Seemingly identical action, from the performer's point of view, is performed in a different environment each time it is repeated. Unless you are the Laplace's Daemon, you can't say for sure you repeat the same action over and over because the environment could change in the meantime in an unimaginable way, and that could influence the outcome.

I just really hate that quote because it is detached from reality.

If you flip it an infinite number of times, you will get the same results anyway. Call when you're finished :P

I'm finished, the result was different 50% of time :).

That's 18 hours to go to infinity and back... nice roundtrip!