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Rare I get stumped by one of these! What is the correct answer to this? I am struggling as the correct answer I think is C but the chances of picking C at random is only 25%. So really both A and D are correct however that gives a 50% chance of picking the correct answer so is it actually B?!

There is no answer - either on purpose or accidentally, all the options are wrong.
D. Not A.
My working out:
Mr Cat has already burned his 50/50 in a previous round.
He asked the audience who voted 90% Whiskers and 10% Dreamies despite neither of these being an option.
He phoned a friend (Ginger Tom from the next street) who thought deeply about it and then answered “that mouse I caught last week” and abruptly hung up.
So the answer comes when you can see him squinting at the bottom right corner. D for sure.
RM.
Not enough information.
Assuming the values are discrete or discreet (effort to check which is correct) ie the 25%in A is not the same 25% in D than its 25%
If you assume the values are not discrete and therefore ie answering "25%" then that's 50%
But the context of the TV show it's ABC or D then the odds are 1in4 the values of the answers are irrelevant from the perspective of picking at random and a total distraction from answering the question.
yellow
Well I would say 50% but given my statistics was worse than my pure maths don't take my word for it.
Thats all garbled and I got a bit wrong. I'll try again.
It's a rejig of a Monty hall type question.
The answers to the question are ABC or D as that is the format of the show. Therefore the producers have decreed that one of the 25%s is wrong. So the answer is 25% and you can pick A or D and tell them to **** off if they try and be smart.
If the question was what are the chances of randomly selecting 25% then the answer would be 50%.
What's a cat going to do with a million quid? Piss it up the wall, I'd bet.
I've no idea, it's Monday and my brain is not functioning.
In other news, “I only have vegetables,” Tom said fruitlessly.
It’s just one of those bollocks quizzes for Facebook hits.
It's a joke / an intentionally obtuse thing with no real answer. Quite clever though.
10. 25% is correct
20. Choose the "25%" option
30. But there are two 'correct' answers so the correct answer is now 50%
40. Choose the "50%" option.
50. There is only one "50%" option, so there's a 1 in 4 chance of guessing that.
60. Goto 10
It’s a rejig of a Monty hall type question.
It's not.
Also, I don't think cats are on Who Wants to be a Millionaire.
This
It’s just one of those bollocks quizzes for Facebook hits.
but also this:
It’s a joke / an intentionally obtuse thing with no real answer. Quite clever though.
Is what I got it to. That said I was genuinely interested if there was some very clever mathematical solution to a real answer...
It’s a rejig of a Monty hall type question.
It’s not.
It is. Not exactly but it's the same structure.
There are two questions after the first one you are given a new bit of information in this case the correct value.
And the odds to the actual selecting the correct final value change to 50% because They took away 2 wrong answers the same as opening one of the doors in the Monty hall.
To answer the question as it's asked you still have to guess but it's not the same odds as the original problem in the question.
I do agree it's not the Monty hall problem in the sense of the question never arises about whether you should change.
It would only be a Monty Hall type problem if one of the 25% answers wins the prize and the other doesn't, and after making a guess they automatically play the 50-50 lifeline for you, and then ask if you want to stick or change answer.
Then the probability of winning when sticking, and the probability of winning when changing answer is different. I think you want to change answer, and you would win more often.
Id vote 75% because A,C,and D are all correct in their own ways. B is the only option that is incorrect.
B. I don't believe their is free will and I have predetermined that I will choose B, which is actually 100% correct as 0% is the correct value, which is wrong, which is right. Get it?
I'd recognise that cat anywhere, it's Schrodinger's. The answer is 0% and 100%
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The text leads you to assume that "this question" referred to in the first part of the text is "what are the chances..." in the second. If that is so, it is recursive. So it can be expanded as "what are your chances of correctly guessing your chances of correctly guessing your chances of correctly guessing your chances of... [repeat infinitely] ... correctly guessing the answer to some question or other which hasn't been asked yet (and never will be because the universe will have ended before you actually get to asking it). Given the way probabilities multiply, that will get smaller and smaller each time, approaching 0 (if you wait long enough).
0% is also pretty close to the answer if you don't make that assumption, in which case you are trying to guess the answer to a question that is not stated, so it might be "Venezuela" or "the Blue Whale" or "18.2".
My reading of the question is that randomly you will get 25% (the right answer) 50% of the time. So, as others have said, C.
According to my mate, this is a variation of the problem that broke all of mathematics at the start of the 20th century: Russell's Paradox. He spent a significant chunk of his life trying to fix things to eliminate the ambiguity, then Kurt Gödel proved it was impossible to fix.
What Superficial said. It's self-defeating, there is no answer.
Like and share if you agree.
It's not Monty Hall. Monty Hall is a demonstration of the sometimes unintuitive nature of statistics but there's no paradox or impossibility with Monty Hall. It just bamboozles us but if you work through logically it plays out correctly.
In this example it's impossible to reason to one of those correct answers.
According to my mate, this is a variation of the problem that broke all of mathematics at the start of the 20th century: Russell’s Paradox.
Hmmm, interesting. I wonder if you can therefore reason it out with "sets of correct answers cannot contain themselves" or similar. It's making my brain hurt right now, I can't get my head around that!
It's quite easy to propose a problem with no solution. They exist. This is one.
I suggest anyone stumped by this rolls a 4 sided die 1=A, 2=B, 3=C, 4=D and the answer will be obvious!
Having thought about this a bit more, I’ve realised that it’s a slightly more confusing wording of “This statement is false” because the answer refers back to itself which is a contradiction. Which, as @Gecko76 says, was the basis for Gödel’s work.
It isn't necessarily a paradox because the answer does not have to be random.
The question asks the reader to choose an answer to "this question at random" i.e the question was randomly selected.
the accompanying picture is conveying the body language of the cat. The cat is asking a question.
A cat's question can be answered.
What are the chances of answering the cat correctly?
Having thought about this a bit more, I’ve realised that it’s a slightly more confusing wording of “This statement is false” because the answer refers back to itself which is a contradiction. Which, as @Gecko76 says, was the basis for Gödel’s work.
Like I said above, my view is it is a rather cunningly disguised version of the question "what is the answer to this question?". So not an internal contradiction, but an infinite regression. Is that same things logically as "this statement is false"? I have now remembered about the "Halting problem", which appears to be related. And according to that Wiki page, the solution to that is very similar to Gödel, so maybe it almost is the same thing. Either way you end up going round in circles, as it were.