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#21 bonanova

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Posted 10 February 2008 - 06:02 AM

I'm late to the game on this ... sorry.
Spoiler for If they reason correctly they know what to do.
Interestingly, if the ones with dirty faces don't reason correctly, all the monks who do reason correctly - including the 45 clean ones - get off to wash at the following stop!
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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#22 roolstar

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Posted 10 February 2008 - 05:40 PM

I'm late to the game on this ... sorry.

Interestingly, if the ones with dirty faces don't reason correctly, all the monks who do reason correctly - including the 45 clean ones - get off to wash at the following stop!


Nice of you to join in Bonanova...

I don't totally agree with the red part of your above quote.

Here's why:

Now if ALL of the 5 dirty faces miss the reasonning and miss the stop #5, this would make the SMART ONES among the 45 get off on stop #6!
(Here we can debate if being SMARTER is always a good thing!! ;) )

But even if ONLY ONE monk reasonned correctly, he would be off on stop #5!. And that would make the rest of the monks know that the other 4 missed the reasonning, and this would make the rest of the 45 remain in the train for the remainder of the trip.

Now for the monk (or monks) who got off, seeing that he's ALONE going to the cleaning area, he will think about two possible scenarios:

[A]:
The other 4 monks missed the reasonning AND he is dirty.

:
The other 4 missed the reasonning (and they missed stop # 4!)
AND the rest of the 45 monks missed the reasonning as well (they didn't go off with him on stop #5)
[b]AND
he's clean

Now if I'm that monk I would easily pick possibility A as beeing the most likely to happen! And would continue my ardeous journey to the cleaning area!

What do you guys think??
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#23 roolstar

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Posted 10 February 2008 - 06:51 PM

Now for the monk (or monks) who got off, seeing that he's ALONE going to the cleaning area, he will think about two possible scenarios:

[A]:
The other 4 monks missed the reasonning AND he is dirty.

:
The other 4 missed the reasonning (and they missed stop # 4!)
AND the rest of the 45 monks missed the reasonning as well (they didn't go off with him on stop #5)
AND he's clean

Now if I'm that monk I would easily pick possibility A as beeing the most likely to happen! And would continue my ardeous journey to the cleaning area!

What do you guys think??


Just to make the above easier to read:

Now for the monk (or monks) who got off, seeing that he's ALONE going to the cleaning area, he will think about two possible scenarios:

[A]:
The other 4 monks missed the reasonning AND he is dirty.

[B ]:
The other 4 missed the reasonning (and they missed stop # 4!)
AND the rest of the 45 monks missed the reasonning as well (they didn't go off with him on stop #5)
[b]AND
he's clean

Now if I'm that monk I would easily pick possibility A as beeing the most likely to happen! And would continue my ardeous journey to the cleaning area!

What do you guys think??
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