The following question is from there;
We all heard this paradoxical statement:
This statement is false.
Or a variation:
True or False: The correct answer to this question is ‘False’.
Recently we received a link to the following puzzle, which is similar to the statement above, but has a cute probabilistic twist:
If you choose an answer to this question at random, what is the chance you will be correct?
- 25%
- 50%
- 60%
- 25%
There are four answers, so you can choose a given answer with probability 25%. But oops, this answer appears twice. Is the correct answer 50%? No, it is not, because there is only one answer 50%. You can see that none of the answers are correct, hence, the answer to the question—the chance to be correct—is 0. Now is the time to introduce our new puzzle:
If you choose an answer to this question at random, what is the chance you will be correct?
- 25%
- 50%
- 0%
- 25%
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