The other part of it is there's not only one monkey who does Hamlet correct on the first attempt, there's two, three four, guess what - an infinite amount of them.

And another infinity that get it right after 5 minutes

Another infinity that take exactly 10 years 3 months 2 days 3 hours 4 minutes and 17 seconds

And another infinity that takes one second less than the life of the universe

And another infinity that takes a googleplex of the lifetime of the universe to complete

that's the point of the thought experiment