# Statistical Jokes (35): Impossible Question

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More paradoxes here. More statistical jokes here.

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## 8 thoughts on “Statistical Jokes (35): Impossible Question”

1. david says:

b

2. It seems like it’d be B, since there are two “correct” answers of 25% (A,D), which would be the probability of picking only one correct answer out of 4 different answers. However, because there are 2 “correct” answers, the percentage of you being correct is enlarged to 50%. BUT, *then* the probability the question asks for is given by B, 50%, which would then negate answers A and D, 25%, since they are no longer correct in this iteration. But then the number of correct answers drops down to 1/4 again, and the probability changes back to 25%. My answer is thus: infinite recursion causes stack overflow.

(At least that was my reasoning :3)

3. Jon W says:

Raymond Smullyan discusses this type of paradox in his book titled “What Is The Name Of This Book?” Basically it is a self-referential question, which makes it (in his terminology) not well-grounded.

4. Sander says:

Only a man having had at least 20 beers stands a chance to find the correct answer to an incorrect question.

5. Khrisstian says:

Assume 25% is the probability or randomly picking the right answer. The chance of picking 25% is 2/4=50%, and 25%=50%. So, our assumption is incorrect. Then, 25% is not the answer. Answers A and D are incorrect.

Assume 50% is the probability or randomly picking the right answer. The chance of picking 50% is 1/4=25%, and 50%=25%. So, our assumption is incorrect. Then, 50% is not the answer. Answer B is incorrect.

Assume 60% is the probability or randomly picking the right answer. The chance of picking 60% is 1/4=25%, and 60%=25%. So, our assumption is incorrect. Then, 60% is not the answer. Answer D is incorrect.

Since all four of our available answers lead to contradictions, we know that none of them are correct. Hence, the probability of randomly picking the right answer is 0%.