Self-referential multiple-choice question [duplicate]












1












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This question already has an answer here:




  • Multiple-choice question about the probability of a random answer to itself being correct

    6 answers




I came across this question, which I believe cannot be satisfactorily answered, but I'm not completely sure. Can you tell me if it has a answer?



If you choose the answer to this question at random,

what is the chance that you will be correct?

a) 25%

b) 50%

c) 60%

d) 25%





logic paradoxes







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marked as duplicate by Martin R, Community♦ 18 hours ago


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.














  • 1




    $begingroup$
    Possible duplicate of Multiple-choice question about the probability of a random answer to itself being correct (for reviewers: only option (c) is different from the duplicating target, but 60% clearly doesn't make more sense than 0%)
    $endgroup$
    – YuiTo Cheng
    20 hours ago


















1












$begingroup$



This question already has an answer here:




  • Multiple-choice question about the probability of a random answer to itself being correct

    6 answers




I came across this question, which I believe cannot be satisfactorily answered, but I'm not completely sure. Can you tell me if it has a answer?



If you choose the answer to this question at random,

what is the chance that you will be correct?

a) 25%

b) 50%

c) 60%

d) 25%





logic paradoxes







share|cite|improve this question











$endgroup$



marked as duplicate by Martin R, Community♦ 18 hours ago


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.














  • 1




    $begingroup$
    Possible duplicate of Multiple-choice question about the probability of a random answer to itself being correct (for reviewers: only option (c) is different from the duplicating target, but 60% clearly doesn't make more sense than 0%)
    $endgroup$
    – YuiTo Cheng
    20 hours ago
















1












1








1


1



$begingroup$



This question already has an answer here:




  • Multiple-choice question about the probability of a random answer to itself being correct

    6 answers




I came across this question, which I believe cannot be satisfactorily answered, but I'm not completely sure. Can you tell me if it has a answer?



If you choose the answer to this question at random,

what is the chance that you will be correct?

a) 25%

b) 50%

c) 60%

d) 25%





logic paradoxes







share|cite|improve this question











$endgroup$





This question already has an answer here:




  • Multiple-choice question about the probability of a random answer to itself being correct

    6 answers




I came across this question, which I believe cannot be satisfactorily answered, but I'm not completely sure. Can you tell me if it has a answer?



If you choose the answer to this question at random,

what is the chance that you will be correct?

a) 25%

b) 50%

c) 60%

d) 25%




This question already has an answer here:




  • Multiple-choice question about the probability of a random answer to itself being correct

    6 answers







logic paradoxes




logic paradoxes






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited 20 hours ago









Bernard

124k741117




124k741117










asked 23 hours ago









Ricardo MagallanesRicardo Magallanes

244




244




marked as duplicate by Martin R, Community♦ 18 hours ago


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.









marked as duplicate by Martin R, Community♦ 18 hours ago


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.










  • 1




    $begingroup$
    Possible duplicate of Multiple-choice question about the probability of a random answer to itself being correct (for reviewers: only option (c) is different from the duplicating target, but 60% clearly doesn't make more sense than 0%)
    $endgroup$
    – YuiTo Cheng
    20 hours ago
















  • 1




    $begingroup$
    Possible duplicate of Multiple-choice question about the probability of a random answer to itself being correct (for reviewers: only option (c) is different from the duplicating target, but 60% clearly doesn't make more sense than 0%)
    $endgroup$
    – YuiTo Cheng
    20 hours ago










1




1




$begingroup$
Possible duplicate of Multiple-choice question about the probability of a random answer to itself being correct (for reviewers: only option (c) is different from the duplicating target, but 60% clearly doesn't make more sense than 0%)
$endgroup$
– YuiTo Cheng
20 hours ago






$begingroup$
Possible duplicate of Multiple-choice question about the probability of a random answer to itself being correct (for reviewers: only option (c) is different from the duplicating target, but 60% clearly doesn't make more sense than 0%)
$endgroup$
– YuiTo Cheng
20 hours ago












1 Answer
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Correct (on the typical assumptions we can only pick one answer, that the selection is uniformly random, etc.). The question is actually a fairly common paradox. The cause is the sort of self-referential nature of the question.




  • Typically for multiple-choice questions with four answers, at random there is a $25%$ chance to get it right. But two answers have that choice.


  • So logically it would be $50%$, but only one choice corresponds to that. So you're damned if you pick either one: if $50%$ is correct, the odds are $25%$ and if $25%$ is correct the odds are $50%$.


  • $60%$ simply makes no sense, being not a multiple of $25%$, and can be ruled out outright.



So as it is posed, there is no correct answer.






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$endgroup$




















    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    3












    $begingroup$

    Correct (on the typical assumptions we can only pick one answer, that the selection is uniformly random, etc.). The question is actually a fairly common paradox. The cause is the sort of self-referential nature of the question.




    • Typically for multiple-choice questions with four answers, at random there is a $25%$ chance to get it right. But two answers have that choice.


    • So logically it would be $50%$, but only one choice corresponds to that. So you're damned if you pick either one: if $50%$ is correct, the odds are $25%$ and if $25%$ is correct the odds are $50%$.


    • $60%$ simply makes no sense, being not a multiple of $25%$, and can be ruled out outright.



    So as it is posed, there is no correct answer.






    share|cite|improve this answer









    $endgroup$


















      3












      $begingroup$

      Correct (on the typical assumptions we can only pick one answer, that the selection is uniformly random, etc.). The question is actually a fairly common paradox. The cause is the sort of self-referential nature of the question.




      • Typically for multiple-choice questions with four answers, at random there is a $25%$ chance to get it right. But two answers have that choice.


      • So logically it would be $50%$, but only one choice corresponds to that. So you're damned if you pick either one: if $50%$ is correct, the odds are $25%$ and if $25%$ is correct the odds are $50%$.


      • $60%$ simply makes no sense, being not a multiple of $25%$, and can be ruled out outright.



      So as it is posed, there is no correct answer.






      share|cite|improve this answer









      $endgroup$
















        3












        3








        3





        $begingroup$

        Correct (on the typical assumptions we can only pick one answer, that the selection is uniformly random, etc.). The question is actually a fairly common paradox. The cause is the sort of self-referential nature of the question.




        • Typically for multiple-choice questions with four answers, at random there is a $25%$ chance to get it right. But two answers have that choice.


        • So logically it would be $50%$, but only one choice corresponds to that. So you're damned if you pick either one: if $50%$ is correct, the odds are $25%$ and if $25%$ is correct the odds are $50%$.


        • $60%$ simply makes no sense, being not a multiple of $25%$, and can be ruled out outright.



        So as it is posed, there is no correct answer.






        share|cite|improve this answer









        $endgroup$



        Correct (on the typical assumptions we can only pick one answer, that the selection is uniformly random, etc.). The question is actually a fairly common paradox. The cause is the sort of self-referential nature of the question.




        • Typically for multiple-choice questions with four answers, at random there is a $25%$ chance to get it right. But two answers have that choice.


        • So logically it would be $50%$, but only one choice corresponds to that. So you're damned if you pick either one: if $50%$ is correct, the odds are $25%$ and if $25%$ is correct the odds are $50%$.


        • $60%$ simply makes no sense, being not a multiple of $25%$, and can be ruled out outright.



        So as it is posed, there is no correct answer.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered 23 hours ago









        Eevee TrainerEevee Trainer

        10.1k31742




        10.1k31742















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