If you take the same Galton board and focud on the paths taken by all balls that ended up in a particular bin you get the hypergeometric distribution for the st

If you take the same Galton board and focud on the paths taken by all balls that ended up in a particular bin you get the hypergeometric distribution for the steps they have taken. So the draws without replacement lurk in the Galton board too. It does, in other words, not require a demon, only a restricted viewing angle.