It would also seem to be a pretty obvious fallacy (although I’m very happy to hear the counter argument). It assumes the “game” is not only infinite in length b

It would also seem to be a pretty obvious fallacy (although I’m very happy to hear the counter argument). It assumes the “game” is not only infinite in length but infinitely open in terms of the space it explores: a million monkeys on a million typewriters may produce Shakespeare but they’ll never produce a bowl of ice cream.