06-16-2010, 02:26 PM | #16 |
Wizard
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Do the prisoners know in what order the other prisoners, and colors, were added?
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06-16-2010, 03:18 PM | #17 |
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Okay, just thinking aloud, so you're safe to click it:
Spoiler:
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06-16-2010, 03:29 PM | #18 |
Now what?
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06-16-2010, 03:49 PM | #19 |
It's about the umbrella
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Oh wow, this one is a good one, pdurrant. Although, if it requires some kind of algebraic equation to set up and solve, I'm not sure I'll be able to figure out which one and actually do it.
I must give this some more thought. |
06-16-2010, 04:02 PM | #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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06-16-2010, 04:02 PM | #21 |
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06-16-2010, 04:34 PM | #22 |
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06-16-2010, 05:12 PM | #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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06-16-2010, 05:15 PM | #24 |
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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. |
06-16-2010, 05:20 PM | #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. |
06-16-2010, 05:27 PM | #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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06-16-2010, 05:30 PM | #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. |
06-16-2010, 05:31 PM | #28 |
The Grand Mouse 高貴的老鼠
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06-16-2010, 05:31 PM | #29 |
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Thanks! Probabilities out of the way is actually a relief...
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06-16-2010, 06:17 PM | #30 |
Now what?
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Start digging the tunnel! No solution in sight!
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