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If C is the correct choice, then that is only one answer out of four that is correct, meaning you only had a 25% chance to answer correctly. You've created a logical paradox.
25% occurs twice, so in reality there are only 3 outcomes from your pick. Since you know 25% is incorrect from this, that is 30% of the total answers, but also 50% of total options. Via this, you can conclude that both b and c are valid answers, depending on whether you view it in relation to outcomes or in relation to options. If you view the 3 outcomes, then you have a 60% chance of being right, but if you view the 4 options, you have a 50% chance of being right. Both 50% and 60% being accepted as anwswers solves the paradoxical nature of the question.
the key word here is at random, you imagine a situation where you're doing it at random, but you're not actually answering randomly are you?