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I hate to admit it but …

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There is a 25% chance of picking each of the four answers, a, b, c, or d. But as a and d have the same value, there's a 50% chance of picking "25%", which (as 25≠50) would be wrong; A 25% chance of picking 50% which (as 50≠25) would be wrong; And a 25% chance of picking "0%", which (as 25≠0) would be wrong.

Any randomly selected answer must therefore be wrong, so the correct answer is c) 0%. However, this now means that there is a correct answer, which has a 25% chance of being selected at random, and (as 25≠0), that answer is wrong.

The correct answer is therefore that there is no correct answer; The question is malformed and impossible to answer within the usual paradigm of a multiple choice question, due to the liar's paradox.

If the correct answer is c, then c is incorrect; But if c is incorrect, then the correct answer is c.

The student cannot answer correctly within the usual constraints of multiple choice; Therefore the examiner is breaking the constraints, and the student should feel free to also disregard them.

^That would be my answer, though it might not fit in the available space on the answer sheet.
 
The correct answer is therefore that there is no correct answer
I tried ‘splain that - case by case - to a number of people who replied to this on fb.
It did NOT go down well, with several people still insisting that one or another of the answers was correct despite having been shown otherwise.
This leaves me with a very strong impression that given several choices about ANYTHING, humans will automatically assume that one of the choices before them is better than the others, and having made such determination, they will not be moved by facts.
 
I tried ‘splain that - case by case - to a number of people who replied to this on fb.
It did NOT go down well, with several people still insisting that one or another of the answers was correct despite having been shown otherwise.
This leaves me with a very strong impression that given several choices about ANYTHING, humans will automatically assume that one of the choices before them is better than the others, and having made such determination, they will not be moved by facts.
Most people have a poor understanding of probability theory, so hitting them with that elegant paradox is way out of their league.
 
There is a 25% chance of picking each of the four answers, a, b, c, or d. But as a and d have the same value, there's a 50% chance of picking "25%", which (as 25≠50) would be wrong; A 25% chance of picking 50% which (as 50≠25) would be wrong; And a 25% chance of picking "0%", which (as 25≠0) would be wrong.

Any randomly selected answer must therefore be wrong, so the correct answer is c) 0%. However, this now means that there is a correct answer, which has a 25% chance of being selected at random, and (as 25≠0), that answer is wrong.

The correct answer is therefore that there is no correct answer; The question is malformed and impossible to answer within the usual paradigm of a multiple choice question, due to the liar's paradox.

If the correct answer is c, then c is incorrect; But if c is incorrect, then the correct answer is c.

The student cannot answer correctly within the usual constraints of multiple choice; Therefore the examiner is breaking the constraints, and the student should feel free to also disregard them.

^That would be my answer, though it might not fit in the available space on the answer sheet.
A strange game, the only winning move is not to play. How about a game of chess?
 
the only winning move is not to play. How about a game of chess?
Same situation for me, if the other player can play decent chess. My best chance of winning would be to play something else. Like Monopoly, or backgammon. Or tic tac toe.
 
I tried ‘splain that - case by case - to a number of people who replied to this on fb.
It did NOT go down well, with several people still insisting that one or another of the answers was correct despite having been shown otherwise.
This leaves me with a very strong impression that given several choices about ANYTHING, humans will automatically assume that one of the choices before them is better than the others, and having made such determination, they will not be moved by facts.
Also they have been conditioned to believe that in a multiple choice question that one of the given answers must be correct.
 
the only winning move is not to play. How about a game of chess?
Same situation for me, if the other player can play decent chess. My best chance of winning would be to play something else. Like Monopoly, or backgammon. Or tic tac toe.
I like solitary games like minesweeper, Sudoku, Sherlock. And nobody cares if I cheat.
 
I hate to admit it but …

View attachment 54951
There is a 25% chance of picking each of the four answers, a, b, c, or d. But as a and d have the same value, there's a 50% chance of picking "25%", which (as 25≠50) would be wrong; A 25% chance of picking 50% which (as 50≠25) would be wrong; And a 25% chance of picking "0%", which (as 25≠0) would be wrong.

Any randomly selected answer must therefore be wrong, so the correct answer is c) 0%. However, this now means that there is a correct answer, which has a 25% chance of being selected at random, and (as 25≠0), that answer is wrong.

The correct answer is therefore that there is no correct answer; The question is malformed and impossible to answer within the usual paradigm of a multiple choice question, due to the liar's paradox.

If the correct answer is c, then c is incorrect; But if c is incorrect, then the correct answer is c.

The student cannot answer correctly within the usual constraints of multiple choice; Therefore the examiner is breaking the constraints, and the student should feel free to also disregard them.

^That would be my answer, though it might not fit in the available space on the answer sheet.
Many years ago, Oldsmobile service training included a once a month 20 multiple choice test for the technicians. The service manager manager got a bonus for 100% completion. There were always a couple guy who couldn't be bothered. He would fill out the answer sheets a,b,c,d, in sequence for each question. He never looked to see which questions were true/false.
 
A strange game, the only winning move is not to play. How about a game of chess?
Oh? Just got done playing Supreme Commander Forged Alliance. He had two interceptors, I fired three nukes at once.
 
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