If you choose an answer at random, what is your probability of being correct?
A: 25%
B: 50%
C: 60%
D: 25%
The wording of this question is a little wrong, "what is your probability of being correct"... correct what? There isn't a question to be answered.
There's a 25% chance of picking any answer, but because there's two answers that are 25%, that means the correct answer to the question is 50%. But that changes the answer of the question.
So without a more defined question, the whole thing makes no sense.