this post was submitted on 06 May 2025
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Science Memes

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Do you know the answer? (feddit.org)
submitted 1 day ago by [email protected] to c/[email protected]
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[–] [email protected] 5 points 1 day ago* (last edited 1 day ago)

It is 33% if the answer itself is randomly chosen from 25%, 50%, and 60%. Then you have:

If the answer is 25%: A 1/2 chance of guessing right

If the answer is 50%: A 1/4 chance of guessing right

If the answer is 60%: A 1/4 chance of guessing right

And 1/3*1/2 + 1/3*1/4 + 1/3*1/4 = 1/3, or 33.333...% chance

If the answer is randomly chosen from A, B, C, and D (With A or D being picked meaning D or A are also good, so 25% has a 50% chance of being the answer) then your probability of being right changes to 37.5%.

This would hold up if the question were less purposely obtuse, like asking "What would be the probability of answering the following question correctly if guessing from A, B, C and D randomly, if its answer were also chosen from A, B, C and D at random?", with the choices being something like "A: A or D, B: B, C: C, D: A or D"