Note that for some of the supposed cause-and-effect relations we only have Caesars word from his post-hoc book justifying himself to the Senate.

"Randomness is the property of lacking any sensible predictability" is the definition I use. Ex-post explanations and supposed cause-and-effect relations found after the event don't make the events less random. Maybe it is in the definition of randomness where we disagree.

As to Einstein: he was referring to quantum mechanics, and he was probably wrong. Bad pun.