This multiple choice probability puzzle has been causing arguments for years

This riddle is causing a lot of arguments online.

It resembles a question from the game show, Who Wants to Be a Millionaire?

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

A: 25%

B: 0%

C: 50%

D: 25%

Commenters are not only arguing over what the correct answer is, but they are also debating whether it is a puzzle, a riddle, a paradox, or something else entirely.

At the risk of being proven wrong in the comments, I'm going to say there is no correct answer. It's a version of the Epimenides paradox, the same one Captain Kirk used to burn out an android's mechanical brain in "I, Mudd."

Post by @johndpoconnell
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See also: Can you solve the "infinite gold" math puzzle?