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Vladimir_Nesov comments on Exercise in dissolving - Less Wrong
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Assuming that (A) is correct, it's true that the probability of picking it at random is (A) 25%. The same works for (D) (but not if both (A) and (D) are correct). There are no other possible (non-empty) sets of correct answers that are fixed under interpretation of the question.
(Additionally, all mixed states of knowledge that assign probability p to (A) being correct and 1-p to (D) are also fixed under interpretation of the question.)
My answer was that you are inferring information that the question doesn't actually provide. Look at it closely and try to locate what the question even is.
The question doesn't specify its meaning unambiguously. I was solving the problem of finding all possible (simple) non-contradictory meanings for the question.
no he's right