Do you know the answer?
Do you know the answer?
Do you know the answer?
It's 0%, because 0% isn't on the list and therefore you have no chance of picking it. It's the only answer consistent with itself. All other chances cause a kind of paradox-loop.
I agree with 0% but disagree there's any paradox - every choice is just plain old wrong. Each choice cannot be correct because no percentage reflects the chance of picking that number.
Ordinarily we'd assume the chance is 25% because in most tests there's only one right choice. But this one evidently could have more than one right choice, if the choice stated twice was correct - which it isn't. So there's no basis for supposing that 25% is correct here, which causes the whole paradox to unravel.
Now replace 60% with 0%. Maybe that would count as a proper paradox. But I'd still say not really, the answer is 0% - it's just wrong in the hypothetical situation posed by the question rather than the actual question.
Completely agree! In this case there is no real paradox, 0% is a perfectly consistent answer.
I think if you replace 60% with 0%, you'd get a proper paradox, because now there is a non-zero chance of picking 0% and it's no longer consistent with itself. It's similar to the "This statement is false" paradox, where by assuming something is true, it makes it false and vice versa.
Correct - even if you include the (necessary) option of making up your own answer. If you pick a percentage at random, you have a 0% chance of picking 0%.
Correct, including 0% as a part of the answers would make 0% a wrong answer.