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Multiple-choice question about the probability of a random answer to itself being correct

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

This question appeared on my G+ feed:

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

A) 25%

B) 50%

C) 60%

D) 25%

My friend and I have differing views on how to answer it. While both of us agree that 0% is the correct answer if one was to connect the answer chosen with the actual question, he argues that 50% is still a correct answer if we understand the question in a broader sense: If a question is asked and four answers are given, while two of them are correct, what is the chance that the correct answer would be chosen at random? Could 50% ever be considered correct?

Here's how my friend thinks: There's a 1/4 chance that you've chosen the 'correct' answer. Out of given options, two of them are 'correct'. So, the chance that you're correct is 2/4.