I saw this elsewhere:
If you pick an answer to this question at random, what is the chance that you are correct?
A) 25%
B) 50%
C} 60%
D) 25%
No, there are no misprints. 
I’m thinking the answer is “B”. Am I right?
No good answers. You have a 50% chance of picking 25% and a 25% of picking 50% so neither are correct.
For one thing, it depends on whether “correct” means you have to match the letter or the answer that the letter stands for.
But this has been discussed before:
It might need a closer parsing, but at first blush there’s no question to answer.
Isn’t it just a reframing of
All SDMB posters are liars
It’s just that you must do a little more work to figure out the inherent self-contradiction.
How is that one a contradiction?
That’s my reaction: my chances are effectively zero, because there’s no way to tell what the question is.
The question is “If you pick an answer to this question at random, what is the chance that you are correct?”
It’s self-referential, and possibly paradoxical or ill-defined, but it is a question.
But it appears that the field of answers one’s choosing from is all the answers in the universe. Because there’s nothing there that says “all the possible answers are listed below.”
I think that’s implicit in the multiple choice format.
Your chance of getting the right answer is 0%. And 0% isn’t one of the options, so you have 0% chance of picking it.