This is a good illustration of a binary epistemology vs a continuous one.

> It's always impossible to tell, for any given sequence, whether it was produced by a fair die.

Something like "you can't make any determination, because it's random". Whereas under the second worldview you can make statements about how likely things are, despite uncertainty.

For some reason the binary worldview seems to be incredibly common. My sibling commenter exhibits the same issue.