Even if an event has probability 1 it is not inevitable, conversely probability 0 does not imply its impossibility.

For example, randomly picking the number 0.5 out of the interval of real numbers [0,1] has probability 0, and yet it might happen. The probability of picking an irrational number instead was 1 (because almost all real numbers are irrational), but that didn't happen.

Even if you consider a countably infinite number of events, as with the coinflip example, it might just happen that the coin flips to one side forever.

Since the machines under consideration just represent one specific sequence of events, probabilistic arguments may be misleading.

Relevant xkcd: https://xkcd.com/221/