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

I can only see 1 answer that says 50%?

So it's 25%?

However, if the answers are related to the chance of getting this question correct then it becomes a mathematical paradox.

I believe this is basically it - there are 4 possible choices so it should be 25%, but as there are two 25% choices it's 50%, but then there is only 1 50% option, so it's 25%.... and so on.
 
Another way of looking at it would be to consider that each answer has a 25% probability of being picked on average. So you could argue that the probability of picking each answer could arbitrarily match each answer, making the overall probability of being correct 100%.
 
It's a paradox, it is a question that isn't a question, its asks you to answer a question that doesn't exist and so if there is no question there is no answer.

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

Highlight the question in this sentence that could have a possible tangible answer, yet it proclaims itself to be a question.
 
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