Probably have to use actual quantum phenomena that behave probabilistically by definition if you want a currently irrefutable physical example.

I'm personally not convinced even this is fundamentally probabilistic and we currently have to rely on probability theory as a crutch for complex behaviors we just quite don't understand yet or don't have the time and resources to compute.

My point exactly. Probability theory is a precise mathematical formalization of the concept of "not enough information".

I'm not sure if it helps, but I suppose a compromise here would be the assumption that you don't really know the starting configuration of yourself, why you draw probabilistic inferences naturally, that the sun will go up tomorrow like every day.

If that has a biologic explanation, then the top comment was not just to the illusive argument of platonic ideals.