# Self-referential multiple-choice question [duplicate]

I came across this question, which I believe cannot be satisfactorily answered, but I'm not completely sure. Can you tell me if it has a answer?

If you choose the answer to this question at random,
what is the chance that you will be correct?
a) 25%
b) 50%
c) 60%
d) 25%


• Typically for multiple-choice questions with four answers, at random there is a $$25\%$$ chance to get it right. But two answers have that choice.
• So logically it would be $$50\%$$, but only one choice corresponds to that. So you're damned if you pick either one: if $$50\%$$ is correct, the odds are $$25\%$$ and if $$25\%$$ is correct the odds are $$50\%$$.
• $$60\%$$ simply makes no sense, being not a multiple of $$25\%$$, and can be ruled out outright.