Is there a mathematical expression in probability for the notion that unless someone is making a special effort (concerted or otherwise) they can't be any 'wronger' than 50% accuracy?
That's exactly what I was wondering. A perfect score presumably means either an amazing coincidence or perfect intelligence within the context of the decisions made. (Or is it just perfect information?) And a perfectly incorrect score would then mean the same thing. And a score that exactly matches randomness would seem to involve no intelligence or information at all, although it, too, could presumably also result from perfect information, if that was the objective.
That's exactly what I was wondering. A perfect score presumably means either an amazing coincidence or perfect intelligence within the context of the decisions made. (Or is it just perfect information?) And a perfectly incorrect score would then mean the same thing. And a score that exactly matches randomness would seem to involve no intelligence or information at all, although it, too, could presumably also result from perfect information, if that was the objective.