Can You Solve the Hardest Logic Puzzle Ever?

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You have three yes/no questions to identify three gods: the god who always answers truthfully, the god who always lies, and the god who randomly mixes true and false answers. One big problem: They answer in their own language, which you don’t speak. What do you do?

This video is episode seven from the series Mathematical Brain Teasers and Logic Puzzles, presented by Jason Rosenhouse.

0:00 Logical Connectives: The Foundation for Logic Puzzles
3:16 Origins of the Hardest Logic Puzzle Ever
5:08 Boolo's Solution to the Hardest Logic Puzzle
13:39 Boolo's Questions in Reverse
15:28 Most Complex Step of Puzzle
17:53 Tim Robert's Simpler Solution
21:46 Rabern Philosophers Simplify Puzzle Farther

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1. The first question - "Whoever to your right will answer that 2 + 2 = 4"
According to the answers in which X or Y will be absent, we will find out where the random is. Since both True and False don't know what to answer regarding Random's answer. If there is no response from A, then random is B. If there is no response from B, then random is C. If we received 3 responses, then random is A.
2. Ie we at least know which of the three is true and false /
Second question: "If you ask your sidekick if he is telling the truth, will he say YES?" We will get two identical answers - XX or YY this will be a symbol that means no.
3. Well, the third question "If you ask your sidekick if he is lying, he will answer YES?" The one who speaks the truth will duplicate the previous answer, and the liar will change the character.
Nester's solution)))

yevhennesterenko
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Although i did not know the solution to the puzzle, but i did feel like Boolos was being unnecessarily convoluted.
I was initially thinking of just asking the same question (is the god next to you True?) 3 times to 1 god, hoping he would say Ja 2 times and Da once, the randomness would then betray at least his identity as random, but yeah, that's not much of a solution.

Games_and_Music
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I have to think Jim Henson and his movie Labyrinth (one of the greatest movies of all time) for giving me a head start on this puzzle. 😁😎

BecomingLizzyBlue
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I decided to try and come up with an answer before I hear the actual one, my answer is as follows:
Question 1: ask the one on the left, “ If I were to ask Random, “Is “a” a letter, ” would he say “da”, ” if you are talking to True or False, they will not answer because they don’t know what Random would say, if you are talking to Random, he will give an answer.
Question 2: if the one on the left was Random ask one of the other two, if they did not answer, then ask them, “If I were to ask True, “Is “a” a letter, ” would they say “da”, ” if they answer “da” they are true, and if they answer “ja” then they are False, this is because if “da” meant “yes” true would answer “da, “a” is a letter” so True would say “da(yes), I would say da(yes), “a” is a letter, ” and False would say “ja(no), True would not say da(yes), a is a letter.” If “da” means “no” then True would say “ja, “a” is a letter, ” therefore True would say “da(no), I would not say da(no), “a” isn’t a letter, ” and False would say “ja(yes), True would say da(no), “a” isn’t a letter.” If the first one you talked to was random, you now know whether you’re talking to True if they said “da”, or False if they said “ja”, and you know who the one you haven’t talked to is by process of elimination. If the first one you talked to wasn’t Random, then ask them the third question.
Question 3:
“If I were to ask the one in the middle, “Is “a” a letter, ” would they say “da”, ” if they don’t answer, the one in the middle is Random, if they answer, the one on the right is random.
So to put that into to practice:
You ask the one on the left, they don’t answer, so now you know you’re speaking to either True or False,
You ask them the second question and they say ja, now you know you’re speaking to False, you ask False the third question, and he says ja, you now know that the one in the middle is True and by process of elimination, the one on the right is Random.

Ok so now that I’ve watched the video, my solution doesn’t work, because Random doesn’t answer randomly, but instead, randomly chooses to answer as True or as False would, so to the first question, none of them would answer because True or False would not answer because they do not know what Random would answer, and since Random randomly answers as True or as False would, he to would not answer. Ironically, this solution does work for the proposed harder version where Random answers randomly and not as True or False would.

someguy
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