Can’t be 25% = it could be correct if the “other 25%” was 24 or 26 (or even 25.000001). Since there are two 25%, the 25% change is raised, nullify the 25% prediction. Can’t be 50%, because there are other two different options in addition to fifty in fifty-fifty; so 50% (or fifty-fifty) don’t exist as option.
Can’t be 0%, because 0% is a very specific assertion that can’t ever be true due to paradox (if you “guessed”, you nailed it 100%)
Result: malformed question, no one is valid… The best you can have is 25%, which is still wrong, but I thing is the closer to approximate. Ideally the question would reform as:
Option A: 25% Option B: 50% Option C: 0%
=33.3~%
Answer can be a,b,c or d. So could be a or d. Pick one at random and you have a 50% chance.
C; the question has two identical answers, it gets removed from the test based on that error
A crocodile has your toddler. It says it will return your child if you can guess its next move. What do you say?
“Holy fuck a talking crocodile‽”
Oof. Wrong time to get excited, buddy…
“It’s your responsibility now you scaly sucker!” and then voom off on my dune buggy. Also in this scenario I have a dune buggy for reasons.
Can I borrow your dune buggy?
Would like to borrow the buggy too.
Distract it while someone sedates/shoots/whatevers it…
Even if you guess the move, it doesn’t say it’ll be alive or intact, so the safest thing to do is not to play.
“NOW YOU DIE, CROCODILE” as my drone army attacks
There is no correct answer. The reason why there’s no correct answer is that it’s a self-referential paradox, but imagine you saw this:
What is 1+1?
A) 9
B) π
C) 76
D) Syria
There’s no correct answer, so it’s not a valid multiple choice question.
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This. I.e., there is no correct answer.
Sooo, C?
if c was correct then it would be 25% then 50% and then 25% again ans 50% and 25%
Write -in, E, none of the above
E) actual 0%, the above C is a null value incorrectly written as a numeric 0%
The answer “there is no correct answer” is correct, but the answer isn’t 0%. It’s a paradox. There isn’t a solution, which isn’t the same thing as saying there’s a 0% chance of getting the right solution (when that is one of the choices).
Essentially there’s a difference between “0% of answers will be correct (because none can be)” and “the listed 0%-option self-invalidates if selected”. The problem is the interaction between answers that shouldn’t be there in normal tests, which changes the values after selection.
Therefore, the only winning move is not to play.
Well I’m not picking it at random, so C is correct.
If c is correct for you then it’s also correct for those who answered at random. And if it is, then you’re all wrong because you’re answering about those who answered at random.
The only viable approach to actually answer is to argue that the question is ambiguous and that while the hypothetical test takers face infinite recursion you the real test taker don’t have to resolve the infinite recursion and to then choose a place to halt evaluation. And if they disagree then your solution to the Halting problem invoke the all powerful oracle function “I’ll talk to the principal”.
It’s not necessary to use recursion. Simple logic solves it. If a or c are true, that implies a and c are not true. If b is true, that implies b isn’t true. If d is true, that implies d isn’t true. No recursion needed and this is complete. You could take a recursive approach, but it doesn’t halt, like you said, so it doesn’t give a result.
(Also, the halting problem is determining if something halts, not what the value is at the end. This problem does not halt, if done recursively. The halting problem is easy to resolve for this particular problem.)
False
Couldn’t you argue that 0% is correct?
It’s a paradox, no of the answers can be correct, so the chance that you pick the correct one is 0%.
Sure, by picking it, it makes it wrong, but you don’t care about that.
If you ran a infite monte carlo test on it, you’d end up with 0% correct answers.
Sure, picking the zero makes it not true again, but you don’t care about that - it prooves that the statistical test holds.
Nah it’s a paradox. There’s no such thing as just a freestanding Monte Carlo test that you can just “run” - you do actually need to define enough parameters to make it tell you anything.
This kind of self-referential stuff feels like a proof of Gödel’s incompleteness theorems with extra steps.
The trick is that there is no paradox, only the implication of one. ‘If’ being the key word - you’re not actually being asked to answer randomly, but you are being subtly trolled.
You do not need to pick at all for the paradox to exist. If either A or D is correct, the other is also correct, and the random odds of selecting the correct answer should have been 50%. This is a contradiction. Neither A nor D can be the correct answer.
If B is correct, the random odds of selecting it is only 25% - a contradiction, so B cannot be correct. Likewise, if C is correct, there is a 25% chance of randomly picking C. C is also not correct.
None of the four answers is correct, so there is a 0% chance of randomly picking the correct answer. C is correct, contradiction, C is not correct, C is correct, is not, is too, etc.
The paradox is resolved by knowing the the scantron answer key has A selected. D is not sufficiently identical to A in javascript, so only the students that randomly guessed the correct answer will get credit.
Because the paradox can only be resolved with either A or D as the selected answer, well informed students picking randomly would have a 50% success rate.
But why is C a contradiction? I’m not randomly picking it.
Because your c is their c. If you were right then those randomly choosing test takers are also right.
Why is their C my C? They’re randomly choosing, I’m picking the right answer which is 0%.
Because it’s the same question and same options! Choosing 0% implies those who randomly selected it were right!
If you ignore self-referential nature of the question and stop the iteration at some point, sure, you can argue that any answer is correct.
If you ran a infite monte carlo test on it, you’d end up with 0% correct answers.
That would mean your Monte Carlo test is set up incorrectly because at least 1/4 of the results of the test would be the “correct” answer as per your own argument, thus invalidating it.
It’s a malformed question that cannot be answered
Lmao that’s fucked up hahaha
It’s B - 50%; either correct (50%) or false (50%), binary 0/1, yes/no, score or not.
C: 50%, you have a 1 in 4 (25%) chance of guess the correct answer but there are two correct answers so 2 in 4 = 50%.
I would answer 0%.
You say the answer is 50%. So 25% is not the right answer to the question, right? So you only have 25% chance of randomly selecting 50%, and therefore, 50% is the wrong answer.
So the answer is 25%, but you have 50% chance of picking 25%, so it’s wrong again.
You can’t solve it: the answer is 0%.
But that would mean 0% is the correct answer.
So theres a 25% chance of picking 0% as the correct answer.
The correct answer changes depending on what answer you picked.
Its a Schrodingers probability question.
If 0% is not the right answer, that confirms that no matter what you pick at random, this is not the right answer: your chances of picking it are 0.
As much as you can loop to demonstrate the other answers are all wrong, you demonstrate 0 is the correct answer by a loop also.
You didn’t follow what that means though. If 0% is the correct answer, a random guess has a 25% chance of hitting it. It loops.
Therefore 0 is not the right answer, and your chances of picking the right answer are 0.
It also loops, positively this time.
I would answer C) 0% - Ultimately I feel this isn’t a “pick the correct answer” type of test and more of a “pick the best answer” type of test.
My reasoning is there are really two questions - one is being answered at random, the other I am answering. The one being answered at random is making any answer it chooses wrong - If it picks A or D (25%), then the correct answer is B (50%). If it picks B (50%), then the answer is either A or D (25%). If it chooses C (0%) then the correct answer is A or D (25%) again. No matter which one is chosen at random, it becomes wrong as soon as it is chosen. So then back to the question on the test that I am answering, the correct answer is C) 0%.
Also, if the teacher marks that wrong, then I am even more correct.
It’s definitely B ) 50%. Ignoring the values for answers, there can only be 1 “correct” answer. If you have 4 options and 1 can be correct, a random guess is 25%. Since there are 2 options for 25%, you have a 50% chance of guessing the correct 25%.
But then the correct answer is b)50%, so the chances or picking that are 25%, my brain hurts now.
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I think I remember solving this one with expected values but game theory was a few decades ago
Yes but then 50% would not be the correct answer.
I fucking hate this game 😭
You can’t separate the question like that. Whichever answer you circle indicates your assertion that this is the probability of getting the correct answer by uniform random chance.
This means that any answer you circle is wrong, and so the correct answer is to not circle any of them. You could even write e) none of the above to indicate that you have deliberately chosen not to circle one of them instead of skipping the question.
I have had plenty of exams with multiple choice questions that included the possibility of no correct answers, one correct answer, or even multiple correct answers, and we were expected to make that judgement (rather than blindly follow instructions).
The answer is 0%: no matter what you chose, it’s wrong. Therefore, at random, you have 0% chance of picking the right answer randomly (or not).
If your chance of getting the right answer is 0%, then the right answer is © 0%, giving you a 1/4 or 25% chance of being correct, thus the answer cannot be 0%.
0 not being the correct answer, your chances of picking the correct answer at random are 0.
Which makes 0 the correct answer, contradicting the assumption that 0 is not the correct answer.
What multiple choice test includes questions with no correct answer? That seems stupid to me.
They’re called multi-select questions and you’re warned about them by the professor ahead of time. Sometimes they have a “none of the above” option but sometimes they don’t.
The purpose is to get you to think critically. If you look at a question and all of the options seem wrong to you, making a guess because “one of them has to be right, it’s multiple choice” is lazy thinking and has nothing to do with the subject matter. In real life you don’t have the luxury of knowing that there’s one correct answer among a set of options.
The purpose of an exam is to test your knowledge of the course subject, not to test your ability to take multiple choice tests. Sometimes that’s hard to separate out, but the standard multiple choice question (where one and only one answer must be correct) is very game-able by guessers who don’t know the subject very well and risks the possibility of someone getting very lucky while not knowing anything.
Well, I suppose I fell into the trap of thinking that questions with no right answers meant nobody could get a perfect score, but I would imagine that 1) it’s fair across the board and 2) accounted for in the scoring somehow.
I suppose I was always a fan of taking easy multiple choice tests as a student - some people write them such that by using the tiniest amount of logic, someone with zero knowledge of the subject could still probably ace them, versus someone writing a diabolical one that dives deep into the subject matter and has answers that are very very slightly different and you really do have to know the material strongly to have any hope. lol. But taking a diabolical test where some questions don’t have ANY correct answers would be even MORE satisfying to ace if you really do know the material well enough, so that sounds like fun. :)
The answer is null because the question references information that we don’t have. It can’t be answered.
Not quite. All information is present, but the answer changes in a way that makes this unanswerable.
The question asks “What is the likelihood that you will give the correct answer to this question?” But does not detail the question that it is asking.
As a hypothetical, if I came up to you and said
“What is the answer to my question?”
There are a number of ways you could answer, such as saying “What question?” Or even just “I don’t know”. But the fact of the matter is that you cannot give a knowledgeable answer in earnest because the question I gave you is malformed and lacking information.
Like, I get the point of the question pictures, it’s a very funny “haha look at this mathematical conundrum, isn’t that pretty funny guys?” And it’s a good question for that
But I guess I’m just being a buzzkill by saying that technically none of these answers is correct because the premise of the question itself relies on a language error. Idk
“This question” means “the current question being g asked” and trying to argue otherwise is just silly. The only way you could be confused in that is if you’re not a native English speaker (and if you’re not, fair enough). My point being, you are given the full question, the question being referenced, and the possible answers.
It’s unanswerable not because of a language error, it’s because the second 25% makes it impossible to correctly answer as the answer is essentially a mathematical paradox. All answers are simultaneously correct and incorrect.
I am a native English speaker with a very good comprehension of the language.
So let’s walk through the logic then, follow me on this one.
I walk up to you and ask
“What is the answer to my question?”
I claim you have been given full information as to what the question is, and you are able to knowingly answer it without saying “I don’t know” or “What question?”
How do you answer?
The question pictured is not “my question” it is “this question” you can’t change the language of the question then complain it means something it doesn’t.
So, syntactically speaking “My” question vs “this” question doesn’t actually change anything about the example that I’m making. If making my example analogy closer to the question in the picture will help you understand the point, I can do that too, no worries.
So, let us word it like this then
“Is the answer to this question a bear, a moose, a lion, or a tiger?”
The question fails before it reaches the stage where an answer is chosen, because the question is not formatted correctly. It is nonsensical to attempt to determine which of the four animals is the answer to the question, because the question is a nonsense question.
In the same way, while it is a clever way to set up a question to imply a paradox, while it is a very fun way to contemplate how the answer might change given how the ‘correct’ answer changes based on which answer you choose; the reality of the situation is that the question actually fails before reaching the ‘choose an answer’ stage of the problem, because the self-referential language makes the question itself nonsensical.
Is that clearer?
🤦♂️
You’re telling me that if the answer choices were 0%, 25%, 50% and 100% this question would be impossible to answer because it was formatted incorrectly?
The correct answer is to leave all the options unmarked.
If you do pick an answer, then you didn’t do it randomly. When not marking the answers, the if-statement has the result of “false”, but that’s not the question.
If your teacher then asks why you didn’t answer it, you can safely and unparadoxically claim that inaction is also an option.
The question is not asking you to pick at random. It’s asking you to suppose that you do pick at random and to mark the correct answer not at random.
Technically they’re not even asking me to answer the statement.
It only states that if I pick an answer then something. And I just don’t.
The idea that you must mark an answer is only implied by it being a standard test.
This might seem silly, but it happens in real life too. For instance:
Please choose the correct answer to the question: Is Mitch McConnell dead or alive? Yes or no.
The republicans have chosen not to answer that test. Can we blame them? Yes, but for what, they didn’t do anything? They are avoiding the Schrödinger paradox by choosing inaction. In some other kinds of cases it might be criminal to withhold information through inaction, but it’s always difficult to prove such a case.
Buddhism also has a lot of these riddles, where the correct action or teaching is to not acknowledge the question.
They aren’t asking them to pick an answer at random though.
If “no answer” is in the set of possible answers, then it is not a correct answer because there’s then a 20% chance of it being picked at random. But usually that’s not the case for tests anyways.
Severe programmer mentality 😂 I like it, but I doubt it would play out in the real world
Does anyone else smell pancakes?
Yeah, that’s me. They’re ready.
So of your four pancakes, if you randomly ate one, but two of them looked the same…
Then I put more syrup on until they don’t
Trick question: One of the 25s is an imposter.
It’s a mimic-dark souls math. If you pick it, the test eats you.
It’s actually 2S with S=12.5
And 50 is 5O, where O=0
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