I think we’re looking too deep into what is really meant to be a simple thought experiment. Entertaining the discussion, however, if the occurrence of a monkey to type, say Hamlet, on the first try, is not physiologically possible for the mind and body of a monkey, it will never happen on the first try by any monkey even with infinite monkeys as it is not within the realm of possibilities. Infinity just means every possible outcome will occur, but anything outside of the realm of possibilities is still impossible and won’t happen no matter how many instances are attempted.
I think we’re looking too deep into what is really meant to be a simple thought experiment. Entertaining the discussion, however, if the occurrence of a monkey to type, say Hamlet, on the first try, is not physiologically possible for the mind and body of a monkey, it will never happen on the first try by any monkey even with infinite monkeys as it is not within the realm of possibilities. Infinity just means every possible outcome will occur, but anything outside of the realm of possibilities is still impossible and won’t happen no matter how many instances are attempted.