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#16 |
Wizard
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Do the prisoners know in what order the other prisoners, and colors, were added?
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#17 |
Wizard
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Location: Europe
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Okay, just thinking aloud, so you're safe to click it:
Spoiler:
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#18 |
Bah! Humbug!
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#19 |
It's about the umbrella
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Oh wow, this one is a good one, pdurrant.
![]() ![]() I must give this some more thought. ![]() |
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#20 |
FUBAR!
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I'm guessing that "get a razor blade, slice off a tiny bit of your forehead, and look at the color" is not a viable answer?
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#21 |
Wizard
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Karma: 37243
Join Date: Dec 2009
Location: Europe
Device: pocketbook 360, kindle 4
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#22 |
Wizard
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#23 |
It's about the umbrella
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OK, dsvick, before I click your spoiler (and by the way I can't quote it as it will show what is under it), it is a thinking about the problem clue or a partial solution?
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#24 |
Wizard
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The spoiler in post #13 is harmless, dreams. It's just to help you thinking. Hasn't helped me yet...
![]() Oh, sorry. Dsvick's harmless too. Just a thought. Maybe an interesting one, but I'm not sure yet. I'm too easily confused today. |
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#25 |
It's about the umbrella
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Thanks, omk3. I like to try these even though some are way over my head. I'll be off to work soon and will have to check back and keep trying when I get home tonight.
Good luck, these puzzles are fun to try and watch everyone's comments too. ![]() |
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#26 | |
The Grand Mouse 高貴的老鼠
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Quote:
So at least two of the prisoners know the order. I don't think this knowledge helps them or you. ![]() |
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#27 |
The Grand Mouse 高貴的老鼠
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I'll address some of your thoughts, just the clarify things that might not have been perfectly clear in the problem statement.
(i) the 45/55 split is just random chance. The problem still works with any similar numbers, e.g. 35/65, 50/50, 51/49, etc. The exact answer might be a little different though. (ii) probability arguments won't help. The prisoner can't be 99% or 99.9% or even 99.99999% certain. The prisoner must be able to prove that they know their ink colour by a process of logical deduction. Last edited by pdurrant; 06-16-2010 at 05:34 PM. |
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#28 |
The Grand Mouse 高貴的老鼠
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Join Date: Jul 2007
Location: Norfolk, England
Device: Kindle Oasis
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#29 |
Wizard
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Thanks! Probabilities out of the way is actually a relief...
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#30 |
Bah! Humbug!
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Start digging the tunnel! No solution in sight!
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