3 Prisoners and 5 Hats

Here’s a logic puzzle I like to give my students:

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There were three prisoners in certain jail, one of whom had normal sight, one of whom had only one eye, and the third of whom was completely blind.  The jailer liked to play tricks on his prisoners, so one day he brought them all three out and had them stand in a line.  He then showed them five hats, three white and two red, which he hid in a bag.  From these five hats, he selected three and put one on each of the prisoners’ heads.  None of the men could see what color hat he himself wore.  The jailor offered freedom to the sighted man, if he could tell him what color his hat was (and to prevent guessing, he threatened execution for a wrong answer).  The sighted man could not tell what color hat he wore, and declined to answer.  The jailor next offered the same terms to the one-eyed man, who also could not tell what color hat he wore, and also declined to answer.  At this point the jailor thought his game was done, but was delighted when the blind prisoner spoke up and asked if he didn’t get a turn? Laughing, the jailer offered the blind man the same terms as the others.  The blind prisoner smiled and replied,

I do not need my sight;
From what my friends have said,
I clearly see my hat is _____!

And so he won his freedom.   How did the blind prisoner know what color his hat was? And what color was it?

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To see the solution, go HERE.

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One comment on “3 Prisoners and 5 Hats

  1. […] This is a logic puzzle. This is the page that has the ANSWER.  If you want to see the puzzle without the answer, go HERE. […]

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