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The probability of there being a correct answer is presumptive of a correct answer existing.
Model the question as such: Give 1 point for correct answer, and 0 for wrong. You have 0.25*1 + 0.25*0 + 0.25*0 +0.25*0 = 0.25. That makes sense for a general question.
However, two answers are the same. We have 0.25*1+0.5*0+0.25*0 OR 0.5*1+0.25*0+0.25*0, and we don't know which. This gives either 0.25 OR 0.5, depending on the options themselves.
Herein lies the issue: the options reference this probability, either 0.25, 0.5, or a bonus 0. It becomes impossible to determine "0.25 or 0.5". Indeed in this case, presuming either as correct shoots out the other, preventing a correct answer existing.
Included is a second paradox, mainly to tease. It offers "0", as we know the former problem is simply a paradox - a "poorly formed" question. Naturally, if we presume 0 must be correct as the only option remaining, then it itself states it cannot be correct.
However, this goes to show that no correct answer exists, so while there is a 0% chance of success, the 0% answer could not be correct. A more direct paradox.
Nonetheless, we did establish that there are no correct answers due to the paradoxes, so choose 0%, not B.
Nobody needed this explanation, and I was gonna try mathematically model the paradox to show it's busted, but then I realised idgaf
