Probabilistic riddle

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If you choose an answer to this question at random, then what is the chance you will be correct?

A) 25%

B) 50%

C) 60%

D) 25%

On internet you can find the problem here.

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0%.

Assume this question has a correct answer.

If the correct answer appears 1 times on the possible answers then its probability should be 25%. Cannot be since 25% appears twice

If the correct answer appears 2 times on the possible answers then its probability should be 50%. Cannot be since 50% only appears once.

No answer is repeated 3 or 4 times.

So if the correct answer appears 0 times on the possible answer then its probability should be 0%. 0% does not appear on the possibilities so it is the correct answer.