Probability

The question asks you to chose an answer at random, and then asks you the chance of it being correct.
If you observe closely, the final answer isn’t constrained by the multiple choice options.

Basically there’s no condition for correctness. It asks “What is the chance you will be correct?”
Correct about what?
If it instead asked, “What is the chance that you will choose the probability of choosing A” then we would have a basis for correctness.

Let us try eliminating our options:

Suppose the probability is 25%.
Then choosing at random, you would choose the correct answer 50% of the time, since 25% is listed twice. A contradiction.
Suppose the probability is 50%.
Then choosing at random, you would choose the correct answer 25% of the time, since 50% is listed only once.
Again contradiction.
Suppose the answer is 60%. By a similar argument as the two cases above, “60%” only appears once so your probability of success in this case is 25%.

Therefore, you have a 0% probability of selecting the correct answer.

\m/