Regardless of the cosmological framing of the practice, people throughout history have devoted substantial effort to mapping the dynamics of probabilistic objects. For example, Sikidy is a randomized tool used for 'fortune telling' by some indigenous groups in Madagascar, where a 'random seed state' (using modern terminology) is used to deterministically generate a larger final state which provides the reading (https://en.wikipedia.org/wiki/Sikidy). Practitioners of Sikidy really care about understanding the dynamics of the system, for example they implemented some algorithmic checks which can be applied to the final state to confirm that it was generated properly.

I'm not saying that this guarantees that early native Americans derived the law of large numbers or whatever, but I don't think it's sound reasoning to assume that people wouldn't study the mathematical behavior of a random system just because it's "the hand of God".