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Question Number 177814 by mr W last updated on 09/Oct/22

The probability that you give the right  answer to this question is...    A) 0%    B) 25%    C) 50%    D)100%

$${The}\:{probability}\:{that}\:{you}\:{give}\:{the}\:{right} \\ $$$${answer}\:{to}\:{this}\:{question}\:{is}... \\ $$$$ \\ $$$$\left.{A}\left.\right)\left.\:\left.\mathrm{0\%}\:\:\:\:{B}\right)\:\mathrm{25\%}\:\:\:\:{C}\right)\:\mathrm{50\%}\:\:\:\:{D}\right)\mathrm{100\%} \\ $$

Commented by cortano1 last updated on 09/Oct/22

B ?

$$\mathrm{B}\:? \\ $$

Commented by meetbhavsar25 last updated on 09/Oct/22

D?

$${D}? \\ $$

Commented by HeferH last updated on 10/Oct/22

A?

$${A}? \\ $$

Answered by Frix last updated on 10/Oct/22

if the answer is ∈{A, B, C, D} and there′s  only one right answer then the probability  of “drawing” the right answer is B) 25%.  but knowing this means I give the right  answer “25%” in 100% of all cases. so B is  wrong and D is right?  this seems familiar to me, did you read the  famous book by Hofstaetter,  “Goedel Escher Bach”?

$$\mathrm{if}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{is}\:\in\left\{{A},\:{B},\:{C},\:{D}\right\}\:\mathrm{and}\:\mathrm{there}'\mathrm{s} \\ $$$$\mathrm{only}\:\mathrm{one}\:\mathrm{right}\:\mathrm{answer}\:\mathrm{then}\:\mathrm{the}\:\mathrm{probability} \\ $$$$\left.\mathrm{of}\:``\mathrm{drawing}''\:\mathrm{the}\:\mathrm{right}\:\mathrm{answer}\:\mathrm{is}\:{B}\right)\:\mathrm{25\%}. \\ $$$$\mathrm{but}\:\mathrm{knowing}\:\mathrm{this}\:\mathrm{means}\:\mathrm{I}\:\mathrm{give}\:\mathrm{the}\:\mathrm{right} \\ $$$$\mathrm{answer}\:``\mathrm{25\%}''\:\mathrm{in}\:\mathrm{100\%}\:\mathrm{of}\:\mathrm{all}\:\mathrm{cases}.\:\mathrm{so}\:{B}\:\mathrm{is} \\ $$$$\mathrm{wrong}\:\mathrm{and}\:{D}\:\mathrm{is}\:\mathrm{right}? \\ $$$$\mathrm{this}\:\mathrm{seems}\:\mathrm{familiar}\:\mathrm{to}\:\mathrm{me},\:\mathrm{did}\:\mathrm{you}\:\mathrm{read}\:\mathrm{the} \\ $$$$\mathrm{famous}\:\mathrm{book}\:\mathrm{by}\:\mathrm{Hofstaetter}, \\ $$$$``\mathrm{Goedel}\:\mathrm{Escher}\:\mathrm{Bach}''? \\ $$

Commented by mr W last updated on 11/Oct/22

the question is indeed crazy.

$${the}\:{question}\:{is}\:{indeed}\:{crazy}. \\ $$

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