2 doors riddle

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You are imprisoned in a chamber with two doors as the only exit. One door leads to death by cancer, filled with complications and malpractice; the other door. 6 answers - 6 Oct Top answer: ud ask one guy if i ask the uva guy what door wud he say wud lead to my death? if he says he wud say door 1 then if he is​. Puzzle 4. John is trapped in a room. There is a table, a chair, 2 doors and a small hole in the ceiling (6 inches in diameter) there. Behind the first door there's an. A Room with no Doors: A Short Story # 2 about Solving One Riddle (Riddles) (​English Edition) eBook: Mitkevich, Anna: bradzka.se: Kindle-Shop. Das Ziegenproblem, Drei-Türen-Problem, Monty-Hall-Problem oder Monty-Hall-​Dilemma ist Spiel 2: Kandidatin Berta wählt Tor 1, der Moderator öffnet Tor 2 mit einer Ziege dahinter und bietet Berta an, ihre Wahl zu ändern. John Tierney​: Behind Monty Hall's Doors: Puzzle, Debate and Answer? In: The New York Times.

2 doors riddle

6 answers - 6 Oct Top answer: ud ask one guy if i ask the uva guy what door wud he say wud lead to my death? if he says he wud say door 1 then if he is​. Puzzle 4. John is trapped in a room. There is a table, a chair, 2 doors and a small hole in the ceiling (6 inches in diameter) there. Behind the first door there's an. Das Ziegenproblem, Drei-Türen-Problem, Monty-Hall-Problem oder Monty-Hall-​Dilemma ist Spiel 2: Kandidatin Berta wählt Tor 1, der Moderator öffnet Tor 2 mit einer Ziege dahinter und bietet Berta an, ihre Wahl zu ändern. John Tierney​: Behind Monty Hall's Doors: Puzzle, Debate and Answer? In: The New York Times.

You are imprisoned in a chamber with two doors as the only exit. One door leads to death by cancer, filled with complications and malpractice; the other door leads to riches of jewelry, money and fine clothing for the rest of your life.

There are two guards standing before you: one guard always lies; the other always tells the truth. Of course, you dont know their identities. You can ask only one question to save your life.

What should you ask? You need one guard to give you the other guards answer. Knowing this one could ask a question like, If I were to ask the other guard which door leads to freedom, what would he say?

If you ask the guard who always tells the truth, he would tell you the other guard would point you to the door of death. If the guard is a liar, the number of truths is even, 1.

If you get a negative answer: If the guard is a truthteller, the number of truths is even, 1. If the guard is a liar, the number of truths is odd, 1.

So regardless of the answer of the guard, the door you pointed at is the door to freedom, you can leave safely. Note: Before you argue about this solution, please read the following: Logic explanation in "two doors" answer.

This is a classic old chestnut of a puzzle, and we've had several responses giving the traditional answer to the puzzle. As a bit of spice, here's a slightly lateral-thinking answer, which lets us figure out not only which door is which, but also which guard is which, all using a single question.

The truth-telling guard will be able to answer this right away. No matter how many nested self-referential clauses you put into that question, she doesn't need to remember them or count them, and it always remains a trivial question to which she can always instantly give a truthful answer.

It's a much harder problem for the lying guard, who will need to think for a short time as she double-checks her answer, and may even have to ask you to repeat the question, just to make sure she correctly counted the number of recursive lies she's supposed to be telling, in order to give you the correct "always lies" answer.

Her answer will necessarily be delayed, compared against the truth-teller's answer, because the question is designed to be much more difficult to determine the answer, for someone who is required to tell falsehoods.

Thus, simply by checking whether the answer is instantaneous or not, you can tell whether the guard is a truth-teller or a liar respectively , and therefore select a door according to the answer that the guard gave you, and whether that guard is the truth-teller or the liar.

If not, he answers YES. Either way, if we get a NO, then we've asked the guard in front of the death door, so we go to the opposite door.

If we get a YES, then we've asked the guard not in front of the death door, so we go to the door behind them.

Would the other guard say your door is the door to freedom? If either guard is guarding the door to freedom both would answer NO.

If either guard is guarding the door to death both would answer YES. NO leads to freedom and YES leads to death. I don't think there is one question whose answer would indicate which guard is guarding which door and which door leads to freedom.

The liar's internal response would be to say NO but being the liar he is , he would say YES due to double negation. Thus, the reasoning is: If the guard can answer then you pointed at the freedom door, if it cannot answer you pointed at the death door.

However, this has one big danger, similar to the Halting Problem: You have no idea whether the guard really cannot answer , or if it's merely thinking about the decision yet what answer to pick, which may take quite a time!

And additionally, every answer is assuming that if the guard answers, it answers as soon as it can. While for most answers this is not very relevant, for this answer a negation of this assumption would be fatal!

To illustrate this problem, the following example: Imagine you ask a guard the question Florian proposed. You wait, and wait, and wait. After a long time you decide that the guard doesn't answer because it can't.

You then go to the door you didn't point at, and right when you just pushed down the handle, you hear the guard answering.

If the question Q in this case, "Is this the dodgy door" were to be answered with the same truth or falsehood as you are about to answer this question, would the answer be "yes" or maybe "pish" if you can remember that this is a native word for "yes" or "no" without exactly recalling which?

If he answers "yes" or "pish" then it is the dodgy door irrespective of whether he's a truth teller, a liar, a take your pick, or whether he actually knows the answer and, where applicable, whether "pish" means yes or no.

If he answers no or "tush" then it isn't. Emrakul provided the only answer that is close to the way I would explain this riddle solution.

Others are violating one or more the original premise or just off base in general. Especially Kevin and Rafe which obviously just convinced themselves was ok, LOL, which guard is the honest one and which is the liar is obviously not something you know, it says right in the riddle explanation, but your answer depends on it.

I'm really scratching my head and wish you two the best. The answer, same concept as Emrakul, in other words: Go to either guard.

Ask that guard, "Which door would the other guard say is the safe route". This answer, regardless of which guard you ask will allow you to choose the door opposite of either guard's answer and always lead you safely.

Even though the most common answer has been posted I would like to add an answer that a friend of mine gave me when I asked him this question. I had never heard this answer before and this is why I would like to share it.

If you ask any guard, "is the truth telling guard standing in front of the door that leads to freedom? If he says yes you simply go through that door.

The mechanics are more or less the same in this answer but for some reason it took me a long time to convince myself it worked every time.

The question is either an on or off pulse, and the answer is also an on or off pulse which we interpret as pointing to a door.

So they both point to the death door. These rules create a situation where there is no method for discerning one guards' honesty from the other, and thus which door leads to freedom.

It's common that you might find some difference in 2 doors. So the prisoner chooses one door with a color red for say and asks this question to one of the guards.

If he asks this question to the truth speaking guard he will correct the prisoner over the color of the gate and will tell the true answer.

Instead if he asks to the false speaking guard he will not rectify his false statement over color of the door and so he will tell his wrong answer.

Difference in color is mere an assumption,some other difference in gates could also be used in the question. The answer to this riddle is to merely pose an single interogative that completes a simple alternating composite of positive and negative interdependent propositions.

By stringing the propositions you can determine the door to freedom by posing the question so that the answer successfully or unsuccessfully completes the alternating polarity.

Regardless of how you pose the question the polarity must alternate [negative, positive, negative with the answer providing the last swing back to positive] or [positive, negative, positive with the answer providing the last swing back to negative] to be successful.

If and when it does not alternate, that will indicate the required action just as definitively as when and if it does successfully alternate.

Below, I will pose the question with the corresponding polarity; keep in mind that your question can utilize either door and either guard; to wit: - Would you be telling the truth [positive], if you said that he would be lying [negative], if he said that this door is the door to freedom [positive]?

Notice, [positive, negative, positive]. If the guard you directed the question to answers "NO" [negative], you have completed the correct alternating polarity, [positive, negative, positive,negative] and the door to freedom is the door you did not point out.

Notice [Negative, positive, negative]. If he answers Yes [positive], you have again completed the alternating polarity correctly and your door to freedom is the one you pointed out.

In either case, if the polarity does not correctly alternate, you should proceed as indicated from the context of your interrogative.

Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Two doors with two guards - one lies, one tells the truth Ask Question.

Asked 6 years, 1 month ago. Active 1 year ago. Viewed 1. What do you ask so you can pick the door to freedom? Wen1now 9, 2 2 gold badges 27 27 silver badges 83 83 bronze badges.

Rafe Rafe 5, 4 4 gold badges 24 24 silver badges 46 46 bronze badges. Active Oldest Votes. As opposed to trying to deceive you. There is more to lying than words - there is body language.

I forgot my :- I've been thinking about questions like this along the line of a prisoner's dilemma and not only as a matter of a logic puzzle.

What door would the other guard point to? The reason this works is because the answer reveals the integrity of BOTH guards.

Enter his door if he says "yes" and enter the other door otherwise. If you choose the liar, he will lie about what his reply would be.

Since that reply is also a lie, the two lies cancel out. Kevin Kevin 6, 1 1 gold badge 26 26 silver badges 30 30 bronze badges.

But any question that distinguishes between the doors would work as the "inner" question. For example, 'is the door on the left the freedom door?

If you ask the honest guard and he says "yes", you pass through his door safely.

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You can ask only one question to save your life. What should you ask? You need one guard to give you the other guards answer. Knowing this one could ask a question like, If I were to ask the other guard which door leads to freedom, what would he say?

If you ask the guard who always tells the truth, he would tell you the other guard would point you to the door of death.

If you ask the guard who always lies, he would tell you the opposite door of the truth-telling guard and point you to the door of death.

One parrot always tells a lie, while the other always tells the truth. You do not know which parrot or door is which. You are allowed to only ask one question.

So, what one question must you ask to determine which door is which, so you can finally go to Heaven?

Hint: The question involves what one parrot would say about the doors. Answer: It doesn't matter which parrot you ask the question to, but the question would be, "What door would the other parrot say is Heaven?

Then you would choose the other door. Riddle Quizzes. Contradictory Proverbs. Popular, brief epigram's, maxim's or sayings which are mutually opposed or inconsistent.

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You are a prisoner in a room with 2 doors and 2 guards. One of the doors will guide you to freedom and behind the other is a hangman --you don't know which is which.

One of the guards always tells the truth and the other always lies. You don't know which one is the truth-teller or the liar either.

You have to choose and open one of these doors, but you can only ask a single question to one of the guards.

If you asked the truth-guard, the truth-guard would tell you that the liar-guard would point to the door that leads to death.

If you asked the liar-guard, the liar-guard would tell you that the truth-guard would point to the door that leads to death. Therefore, no matter who you ask, the guards tell you which door leads to death, and therefore you can pick the other door.

Go to any guard, point at a door and ask: Among the propositions 1. If you get the answer yes: If the guard is a truthteller, the number of truths is odd, 1.

If the guard is a liar, the number of truths is even, 1. If you get a negative answer: If the guard is a truthteller, the number of truths is even, 1.

If the guard is a liar, the number of truths is odd, 1. So regardless of the answer of the guard, the door you pointed at is the door to freedom, you can leave safely.

Note: Before you argue about this solution, please read the following: Logic explanation in "two doors" answer. This is a classic old chestnut of a puzzle, and we've had several responses giving the traditional answer to the puzzle.

As a bit of spice, here's a slightly lateral-thinking answer, which lets us figure out not only which door is which, but also which guard is which, all using a single question.

The truth-telling guard will be able to answer this right away. No matter how many nested self-referential clauses you put into that question, she doesn't need to remember them or count them, and it always remains a trivial question to which she can always instantly give a truthful answer.

It's a much harder problem for the lying guard, who will need to think for a short time as she double-checks her answer, and may even have to ask you to repeat the question, just to make sure she correctly counted the number of recursive lies she's supposed to be telling, in order to give you the correct "always lies" answer.

Her answer will necessarily be delayed, compared against the truth-teller's answer, because the question is designed to be much more difficult to determine the answer, for someone who is required to tell falsehoods.

Thus, simply by checking whether the answer is instantaneous or not, you can tell whether the guard is a truth-teller or a liar respectively , and therefore select a door according to the answer that the guard gave you, and whether that guard is the truth-teller or the liar.

If not, he answers YES. Either way, if we get a NO, then we've asked the guard in front of the death door, so we go to the opposite door.

If we get a YES, then we've asked the guard not in front of the death door, so we go to the door behind them.

Would the other guard say your door is the door to freedom? If either guard is guarding the door to freedom both would answer NO.

If either guard is guarding the door to death both would answer YES. NO leads to freedom and YES leads to death.

I don't think there is one question whose answer would indicate which guard is guarding which door and which door leads to freedom.

The liar's internal response would be to say NO but being the liar he is , he would say YES due to double negation.

Thus, the reasoning is: If the guard can answer then you pointed at the freedom door, if it cannot answer you pointed at the death door.

However, this has one big danger, similar to the Halting Problem: You have no idea whether the guard really cannot answer , or if it's merely thinking about the decision yet what answer to pick, which may take quite a time!

And additionally, every answer is assuming that if the guard answers, it answers as soon as it can.

While for most answers this is not very relevant, for this answer a negation of this assumption would be fatal! To illustrate this problem, the following example: Imagine you ask a guard the question Florian proposed.

You wait, and wait, and wait. After a long time you decide that the guard doesn't answer because it can't. You then go to the door you didn't point at, and right when you just pushed down the handle, you hear the guard answering.

If the question Q in this case, "Is this the dodgy door" were to be answered with the same truth or falsehood as you are about to answer this question, would the answer be "yes" or maybe "pish" if you can remember that this is a native word for "yes" or "no" without exactly recalling which?

If he answers "yes" or "pish" then it is the dodgy door irrespective of whether he's a truth teller, a liar, a take your pick, or whether he actually knows the answer and, where applicable, whether "pish" means yes or no.

If he answers no or "tush" then it isn't. Emrakul provided the only answer that is close to the way I would explain this riddle solution.

Others are violating one or more the original premise or just off base in general. Especially Kevin and Rafe which obviously just convinced themselves was ok, LOL, which guard is the honest one and which is the liar is obviously not something you know, it says right in the riddle explanation, but your answer depends on it.

I'm really scratching my head and wish you two the best. The answer, same concept as Emrakul, in other words: Go to either guard.

Ask that guard, "Which door would the other guard say is the safe route". This answer, regardless of which guard you ask will allow you to choose the door opposite of either guard's answer and always lead you safely.

Even though the most common answer has been posted I would like to add an answer that a friend of mine gave me when I asked him this question.

I had never heard this answer before and this is why I would like to share it. If you ask any guard, "is the truth telling guard standing in front of the door that leads to freedom?

If he says yes you simply go through that door.

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