This isn’t about a single result, like one die roll after a million others where the previous million don’t matter. In the Hamlet example the past DOES matter. And there are multiple universes of possibility, one in which a million 1’s are rolled and the next die roll is also a 1, and many others in which a million other rolls (not all 1’s) are first rolled and then the next roll is a 1. Just like there are way, WAY less universes in which a million +1 1’s are rolled and then the next one is also a 1. Because the statistical possibility reduces exponentially IN REALITY based on the accumulated, exponentially increasing improbability of a real universe actually correctly following the entire historical possibility chain with zero deviations.
Infinity does not mean boundless, it only means “never stops”. In reality, that just means we will have a universe appear and later vanish for some reasons, only for another universe to appear after that. Or however it works. But it does NOT mean that “every thing that we can imagine might be possible will happen”. You could have the exact same universe manifest over and over for countless times. This is about REALITY, not hypothetical theoretical statistics stuff. Maybe in your mind you can picture some apes smashing their fists on typewriters and somehow, SOMEHOW, SOMEHOW (who the fuck could even picture this, be honest) somehow,… they just happen to hit every exact perfect key in order from start to finish perfectly recreating Hamlet. All approximately 300,000 characters. With no errors. All from random smashing fists without meaning.
Seriously that would never happen, I don’t care how many iterations of the situation you want to imagine. Physically is is not possible. Think about it. Like I said this is ALSO about reality, not merely theoretical statistical stuff in a mental vacuum.