Interesting and Humour - page 4732

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The mistake of all solvers is that they take one answer as two and calculate the probability of each incorrectly.

There are 3 answers, 33.% each, not 4 at 25%, because one answer repeated twice is one answer and the probability of it being correct is not doubled by its duplication.
 
Реter Konow:
Interestingly, the game breaks its rules in this question, creating a logic trap. The only way out of it is to go back to the rules.

you have a choice of four answers. But outside for the presenter you have one answer.

You will not be able to give 4 answers. If you could, then the probability of each of them being correct is 25%, I would even say 12.5 since each of these answers has two outcomes.

But you can't do that.

So your chance of answering correctly is always 50%, no matter where your logic takes you after reading the question.

 

- Yeah - what's the likelihood of walking outside and meeting an elephant?

- 50%. Either you will or you won't.

 
Renat Akhtyamov:

you have a choice of four answers. But outside for the presenter you have one answer.

You will not be able to give 4 answers. If you could, then the probability of each of them being correct is 25%, I would even say 12.5 as each of these answers has two outcomes.

But you can't do that.

So your chance of answering correctly is always 50%, no matter where your logic takes you after reading the question.

1. The menu has 4 items and 3 responses.

2. The probability of correctness is calculated relative to the answer, not the item.

3. Consequently, for 3 answers the probability of correctness is distributed by 33.3% for each.

4. The 33.3% option is not on the Answer Menu, so the probability of specifying the correct option is 0%.

5. 0% is option B.

 
Реter Konow:
1. The menu has 4 items and 3 answers.

2. The probability of correctness is calculated relative to the answer, not the item.

3. Consequently, for 3 answers the probability of correctness is distributed by 33.3% for each answer.

4. The 33.3% option is not present in the answer menu, so the probability of specifying the correct option is 0%.

5. 0% is option B.

3? pppc....

take help from the computer - "Remove two wrong answers", one correct answer remains?

 
Renat Akhtyamov:

3? ptz....

take the help of a computer - "Remove two wrong answers", there will be one right answer left?

Two answers that are the same is one answer.
Therefore, the number of answers is 3, not 4.
 
Реter Konow:
Two identical answers are one answer.
Therefore, the number of answers is 3, not 4.
Well, take away two and there is still one?
 
Renat Akhtyamov:
Well, take away two, is there one left?
You don't remove the answers, you remove the menu items. In this case, if you remove 2 items with different answers, there will be 2 items with one answer, and if you remove 2 items with one answer, there will be two with different answers.

Try separating the menu items and answers in your mind and everything will fall into place.
 
Реter Konow:
It is not the answers that are removed, but the menu items. In this case, if you remove 2 items with different answers, there will be 2 items with the same answer, and if you remove 2 items with the same answer, there will be two with different answers.

each item is an answer.

Right, that leaves two.

where did 33% come from when 50 was removed ?

 
Renat Akhtyamov:
Each item is an answer
Two identical answers are one answer.

33.3% is the percentage of probability of correctness obtained by dividing 100% by 3 (not four) answers.
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