I'm not saying divination isn't a thing, I'm saying there are examples of use of chance where it doesn't seem like divination.

Athenians selected through sortition didn't seem to act much like they believed they were chosen by the gods, and they defended their institutions mainly as wisdom, not as revelation.

And the apostles, being Jews, had a big taboo about using chance to determine God's will, but apparently not against using chance to fill vacancies.