• Sop@lemmy.blahaj.zone
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    1 month ago

    Mathematics breaks sometimes when a sentence refers to itself (because it can create contradicting paradoxes). That’s why such sentences are not allowed in formal mathematics.

    This example isn’t really a contradicting paradox yet though, none of the answers are correct hence the question is unanswerable (a logical possibility for an arbitrary question). Other commenters correctly pointed out that this setup would be more interesting if 0% would be one of the given possibilities, because then the question is no longer logically unanswerable hence it would be a contradicting paradox (assuming the question is unanswerable implies a possible answer and assuming that a specific one of the answers is correct implies that it’s not correct)

  • WaterWaiver@aussie.zone
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    1 month ago

    This would have been even more troll with a 0% answer, because that would add another layer of paradox.

    • KoboldCoterie@pawb.social
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      1 month ago

      There’s no joke; the 4th choice (in addition to 25%, 25%, 50%) is arbitrary; it could be 0%, 100%, or anything other than 25% or 50%. The only purpose it serves is to be a 4th option (thus making the probability of choosing any individual answer 25% when choosing randomly).

      The question would work just as well if it had 3 options:

      1/3, 1/3, 2/3.

      • 56!@lemmy.ml
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        1 month ago

        I think having 0% as the 4th choice would have actually made it more interesting.

      • brbposting@sh.itjust.works
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        1 month ago

        Logical progression. You see four answers and think 25%. You see two 25%s and think 50%, but then you don’t know how to square that because 50% is there too!

        Delightful, had to come to the comments after a minute - certified brain* breaker!

        *peabrain at least

    • mozz@mbin.grits.dev
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      1 month ago

      It’s a little easier to figure out if there is one answer that is clearly and unequivocally wrong.

      25/25/50/75 or something just doesn’t have as neat a mapping of numbers into conceptual categories, for some reason, to me

  • Jojo, Lady of the West@lemmy.blahaj.zone
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    1 month ago

    Under the assumption that at least one of those answers is “correct” and fixed (not changing with respect to guesses) and that all options are listed, it is either 25 or 50 percent. 25 if the “correct” answer is either 50 or 60 (or exactly one of the 25’s), and 50 if the correct answer is 25.

    Clearly this requires a departure from the expected definitions of the words and/or numbers in the question. It’s terrible question writing, I’ll say.

    • FilthyShrooms@lemmy.world
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      1 month ago

      I’d argue it’s 50% by process of eliminating with some grouping. 60% is right out, as it doesn’t make sense. This essentially leaves us with 50% and 25%, and since there’s 2 options a random guess would have a 50% chance of being correct

  • key@lemmy.keychat.org
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    1 month ago

    Either A or D but not both. The answer is the letter. It’s not a paradox, just undeterminable as written.

  • masterofn001@lemmy.ca
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    1 month ago

    Maybe the answer is 100% Because it depends on how and when you ask/answer.

    My opinion: The question isn’t asking you which of the options is the correct answer, it’s asking what your odds are of choosing the correct answer. Regardless of the value of the choices.

    The question is asking for a value. Not one of the following letter choice.

    Without knowing the correct answer, assuming one is correct, a random guess out of 4 choice answers would be a 1 in 4 chance. 25%

    If 25 is the correct blind answer, then, because this prof is trying to be funny, it becomes depending how you look at it, 2 in 4. Which makes it 50 which makes the odds 1 in 4.

    Also, by selecting any one the only option is correct or incorrect. So 50/50

        • Kogasa@programming.dev
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          1 month ago

          None of the answers are correct. If the answer were 25%, then it couldn’t be 25% because there’s a 50% chance of picking it at random, which contradicts our supposition. Similarly the answer cannot be 50% because there’s a 25% chance of picking it. The answer isn’t 60% because there isn’t a 60% chance of picking it.

        • Xtallll@lemmy.blahaj.zone
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          1 month ago

          There’s a 1 in 4 chance so the answer is 25%, but there are 2 "25%"s so 50% is the correct answer, but there is only one “50%” So there’s a 1 in 4 chance so the answer is 25%, but there are 2 "25%"s so 50% is the correct answer, but there is only one “50%” So there’s a 1 in 4 chance so the answer is 25%, but there are 2 "25%"s so 50% is the correct answer, but there is only one “50%” So there’s a 1 in 4 chance so the answer is 25%, but there are 2 "25%"s so 50% is the correct answer, but there is only one “50%” So there’s a 1 in 4 chance so the answer is 25%, but there are 2 "25%"s so 50% is the correct answer, but there is only one “50%” So there’s a 1 in 4 chance so the answer is 25%, but there are 2 "25%"s so 50% is the correct answer, but there is only one “50%” So there’s a 1 in 4 chance so the answer is 25%, but there are 2 "25%"s so 50% is the correct answer, but there is only one “50%” So there’s a 1 in 4 chance so the answer is 25%, but there are 2 "25%"s so 50% is the correct answer, but there is only one “50%” So there’s a 1 in 4 chance so the answer is 25%, but there are 2 "25%"s so 50% is the correct answer, but there is only one “50%” So there’s a 1 in 4 chance so the answer is 25%…

      • masterofn001@lemmy.ca
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        1 month ago

        But it’s correct because 25 and 50 are there.

        Also, prob-a-bil-i-ty.

        You don’t know the answers when trying to determine it.

  • nimpnin@sopuli.xyz
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    1 month ago

    If you choose an answer to this question at random, what is the chance you will be correct?

    a) 1000% b) 666% c) -100% d) 420%