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ShamelessGit
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17 Sep 2011, 2:19 am

There are three criminal masterminds in Gotham prison. The guards decide to play a game with them one day and line them up in a row, all facing the same direction. The guards tell the prisoners that they have 5 hats, 3 white and 2 red, and that they will place one hat on each prisoner's head so he can't see it. The prisoners can see the hats in front of them, but no other hats. They tell the prisoners that if they can guess their hat, that they will be set free, but if they guess wrong, then they will be killed. They can also choose not to guess and go back in their cell.

The Riddler (who is in back) in back gets to guess first, and he doesn't know, Penguin, who is next, also chooses not to guess, but the Joker, who is in front and can't see anybody's hat, knows with certainty which hat he has on. What hat is it and how does he know?

If you want a real challenge, do this same riddle but with 5 prisoners, 4 white hats, and X number of red hats. Which position in line do you want to be with each positive integer value X? I can't remember all the answers to this one.



maquaii
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17 Sep 2011, 2:54 am

Not sure if this is correct, but i'll give it a try.

Riddler can see that both ain't got red, if both had red then he'd be white.
Penguin knows that because of riddlers answer they are either P:w J:w, or P:r J:w, or P:w J:r.
If Joker was red Penguin would know that he himself is white since only one of them could be red. So since he says he doesn't know, Joker got to be White.



Titangeek
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17 Sep 2011, 9:45 pm

The Joker is standing in front of a mirror.


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ShamelessGit
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18 Sep 2011, 1:47 am

maquaii wrote:
Not sure if this is correct, but i'll give it a try.

Riddler can see that both ain't got red, if both had red then he'd be white.
Penguin knows that because of riddlers answer they are either P:w J:w, or P:r J:w, or P:w J:r.
If Joker was red Penguin would know that he himself is white since only one of them could be red. So since he says he doesn't know, Joker got to be White.


hell yes. You got it right.



maquaii
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18 Sep 2011, 1:54 am

Yarr! Not as stupid as i feel :P



Ambivalence
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18 Sep 2011, 4:14 am

Joker does not know for certain (based on the information provided) what hat he has on. Like he'd trust the guards!


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