"How often do listing sorts of problems with some reasonable considerations result in an answer of 'None of the above' for me?"

If "reasonable considerations" are not available, then we can still:

"How often did listing sorts of problems with no other information available result in an answer of 'None of the above' for me?"

Even if we suppose that maybe this problem bears no resemblance to any previously encountered problem, we can still (because the fact that it bears no resemblance is itself a signifier):

"How often did problems I'd encountered for the first time have an answer I never thought of?"