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May 20th, 2017, 12:41 PM   #11
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Quote:
 Originally Posted by skipjack ...or could start with "If you're answering truthfully, what is . . .", etc.
But wouldn't that take the randomness out of it?

May 20th, 2017, 01:20 PM   #12
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Quote:
 Originally Posted by Abidur Rahman NOTE: I assure you that I did not write the problem incorrectly, this is an alternate version of the original problem. Good luck.
Why state that you can ask only one question and that he can only lie once then?

 May 21st, 2017, 03:29 AM #13 Global Moderator   Joined: Dec 2006 Posts: 20,969 Thanks: 2222 The problem is how to determine the correct door by using only one question. That doesn't imply that the doorkeeper is incapable of answering more than one question. However, he could not answer with a lie on two separate occasions.
May 21st, 2017, 11:35 AM   #15
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Quote:
 Originally Posted by Abidur Rahman ...but first side note when I meant that you are only allowed to ask one question, I meant that a question can only be asked once- in other words you are not allowed to ask the same one question multiple times.
YA?
2+2 = 4
No!
My second 2 is really a 3: 2+3 = 5

You've lost everybody's time.

May 21st, 2017, 12:09 PM   #16
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Quote:
 Originally Posted by Denis YA? 2+2 = 4 No! My second 2 is really a 3: 2+3 = 5 You've lost everybody's time.
Yh, I realised that it was possible for somebody to interpret my question that way, so I apologise if I led you in the wrong direction. That being said I think most people interpreted it to mean only one question is asked once, so it probably didn't affect how people were answering the problem.

May 21st, 2017, 12:24 PM   #17
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Quote:
 Originally Posted by Abidur Rahman only one question is asked once,
you mean: a question cannot be asked more than once...

Doesn't matter anyway: so what if it's asked multiple times,

May 21st, 2017, 12:49 PM   #18
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Quote:
 Originally Posted by Denis you mean: a question cannot be asked more than once... Doesn't matter anyway: so what if it's asked multiple times, since answering is a random?

If you ask a question that considers the hypothetical response of another question, you narrow down the valid responses available to the gatekeeper until he is only allowed to tell the truth.

 May 21st, 2017, 01:22 PM #19 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 So: limitless questions can be asked same question cannot be asked more than once only one lie can be told Then it's easy: pick an object in the room let's use the clock, which is black in color questions: is the clock black? is the clock brown? is the clock pink? ...continue until lie is told then: is the treasure behind door A? Get it?
 May 21st, 2017, 01:54 PM #20 Newbie   Joined: May 2017 From: England Posts: 13 Thanks: 0 No, not quite there yet. I'm sorry for the poor explanation, but what I mean is that only one question is allowed to be asked. So let's say I ask what is 2+2... this will be the only question I would ask and I won't be allowed to ask this repeatedly. The only difference between this analogy and my problem is that the question must be a yes or no. Once again, I'd like to emphasise that it's one unique question that can only be asked once. The solution to the problem is to ask a really long question that contains hypothetical questions embedded within it so that you are still only asking one question, but still receiving information about the problem. Last edited by skipjack; May 22nd, 2017 at 01:24 AM.

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