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Politesse said:
View attachment 33337
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Using test-taking theory. Assumption: There is one correct answer. A and D are ruled out; they are the same. Randomly selecting B 1/4 of the time guarantees it is incorrect. This leaves C as the only choice.

Checking our work. In a 4 question test with one correct answer it will be chosen 1/4 of the time. A or D (the correct? answer) will be chosen 1/2 the time. So C is correct. But this means that a correct? answer will be chosen 3 times out of 4. So the assumption of one correct answer is false.

Or it is a paradox. Or a horribly worded question.
 
George S said:
Politesse said:
View attachment 33337
Click to expand...

Using test-taking theory. Assumption: There is one correct answer. A and D are ruled out; they are the same. Randomly selecting B 1/4 of the time guarantees it is incorrect. This leaves C as the only choice.

Checking our work. In a 4 question test with one correct answer it will be chosen 1/4 of the time. A or D (the correct? answer) will be chosen 1/2 the time. So C is correct. But this means that a correct? answer will be chosen 3 times out of 4. So the assumption of one correct answer is false.

Or it is a paradox. Or a horribly worded question.
Click to expand...
The question does not specify that the answer has to be one of the four ones provided. I wonder what WWTBAM rules say about contestants answering outside the options?
 
Jayjay said:
George S said:
Politesse said:
View attachment 33337
Click to expand...

Using test-taking theory. Assumption: There is one correct answer. A and D are ruled out; they are the same. Randomly selecting B 1/4 of the time guarantees it is incorrect. This leaves C as the only choice.

Checking our work. In a 4 question test with one correct answer it will be chosen 1/4 of the time. A or D (the correct? answer) will be chosen 1/2 the time. So C is correct. But this means that a correct? answer will be chosen 3 times out of 4. So the assumption of one correct answer is false.

Or it is a paradox. Or a horribly worded question.
Click to expand...
The question does not specify that the answer has to be one of the four ones provided. I wonder what WWTBAM rules say about contestants answering outside the options?
Click to expand...

I think it's a brilliantly worded question, worthy of entry in the djinn hall of fame.

  • If there were 4 options, all different and one of them was 25% that would be the correct answer. But that's not the case.
  • Since there are 2 options that say 25% then one has a 50% chance of randomly picking the correct answer, but unfortunately there is only 1 option that says 50%, which you still only have a 25% chance of selecting randomly.
  • This means you have a 0% chance of "being correct" by picking an answer at random. But unfortunately one of the options is 0%, and if you pick it you've picked the correct answer, which means your chances of being correct are greater than 0%.

It's the Kobayashi Maru of multiple choice questions. :notworthy:
 
The question was: If you choose an answer to this question at random, what is the chance that you will be correct?

There isn't one answer. There are two answers.

..If the answer is 25% then there is a 50% chance of randomly choosing correctly.
..If the answer is either 0% or 50% there will be a 25% chance of randomly choosing correctly.
 
skepticalbip said:
The question was: If you choose an answer to this question at random, what is the chance that you will be correct?

There isn't one answer. There are two answers.
Click to expand...

If there are two answers, then your chances are 50/50.
But how do you know there are two answers? Show your work!
 
Elixir said:
skepticalbip said:
The question was: If you choose an answer to this question at random, what is the chance that you will be correct?

There isn't one answer. There are two answers.
Click to expand...

If there are two answers, then your chances are 50/50.
But how do you know there are two answers? Show your work!
Click to expand...

...You clipped my work...
 
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