If I had one I'd be clearing a space on my shelf for my Nobel Prize

Seriously though, I don't think there's any way to know for sure. Like imagine if it were dice rolls. You can look at the results and draw conclusions to see if it's a weighted dice. But what if my table biased rolls or if some results were lost? It's probably reasonable to conclude that they weren't but no way that I can see to be sure.

Random walks.