Suppose in our own world, it turns out that an event in the future is extremely likely to happen, despite it being extremely to happen were the universe purely random.

Some may call it "fate", but I prefer the term "bi-causality", in that the event's occurrence in the future causes events in its past to occur (in addition to the usual forward causality). It's not that every step towards this conclusion is pre-ordained, but this particular event, up to some wiggle room, is extremely likely to happen.

My question is, as human beings, would there some plausible way that we could determine that this was the case? Is there some kind of experiment that would properly falsify this hypothesis?