Yeah but the odds are only meaningful if someone was expecting Hamlett specifically to get written in the first place. Without that it ceases to be a significant event, and reduces to merely the event that happened. Just because one arrangement of molecules is unique doesn't mean it's special if any number of other arrangements is functionally the same. The same argument applies to any person. Yeah the odds of you in particular being born are astronomical, but that doesn't make you special, because if it wasn't you it would have been someone substantially similar to you. After all, your parents were making a baby either way.

Those won't random acts though. They were decisions and actions from outside inputs. If you had enough data you could recreate the events from the big bang onwards in theory. Assuming human decision making is deterministic.

Random in this case means random as in if a particle decays or not. Not simply harder to predict as in human behaviour.