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Tuesday Puzzle

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Tuesday Puzzle

#1

Tuesday Puzzle

There are three logisticians that are shown a set of hats, 3 white, and two black. A hat is put onto each of them, but no one knows what color they are wearing. They are placed in a room where they can see each other and told that they have one minute to determine what color hat they are wearing. (They are not allowed to communicate with each other) If anyone correctly gets the color of his hat, they all win a prize, but if any guesses are made and are incorrect, they all lose. The clock ticks away, and just before the time is up, one of them makes a correct guess. The question is what color hat is he wearing, and how did he know? (both parts are necessary for a correct answer.

Re: Tuesday Puzzle

#2

Answer

is in my head, but I see no way to hide it.

I'll defer posting.

Re: Tuesday Puzzle

#3

I Need More Information.....

....are we talking Fedoras or Bolers?

Re: Tuesday Puzzle

#4

Re: Tuesday Puzzle

It's not quite noon so the correct answer may get me tossed in the box. His guess is that he is wearing a white hat, since he could see that the other two gents were wearing black.

Lee

Re: Tuesday Puzzle

#5

Re: Tuesday Puzzle

The other two were not necessarily wearing black hats. There are three white and two black.

Re: Tuesday Puzzle

#6

Custom WC hats ;-)

Re: Tuesday Puzzle

#7

Re: Tuesday Puzzle

you might have gotten put half-way in the box for that.

Re: Tuesday Puzzle

#8

Extra credit

Do I get extra credit for also knowing the colors of the hats of all three?

Re: Tuesday Puzzle

#9

Re: Tuesday Puzzle

White. If the answer is not obvious to anyone, then the anwer is obvious to someone.

(assuming all logicians are equally logical)

Re: Tuesday Puzzle

#10

Re: Extra credit

Sure, that adds a little bit more complexity.

Re: Tuesday Puzzle

#11

Re: Extra credit

Well, you supplied information that allows that, and is extraneous for the question you asked, at least if I'm thinking of this right.

Re: Tuesday Puzzle

#12

Re: Extra credit

True, it is not necessary to answer the original question.

Re: Tuesday Puzzle

#13

OK

Time for one of you to post the solution. Looks like several have it. ;-)

Re: Tuesday Puzzle

#14

Re: OK

Lee called the first case. Any logician would know immediately that if he saw two black hats, his must be white.

But if a logician sees only one black hat, and none of his logical colleagues has an immediate answer, then his hat must not be black. (because then someone would see two and call it)

And if he sees no black hats, and nobody has an answer after a suitible number of brain-cycles have elapsed, then none of his colleagues must have seen any black hats either. So his must be white too.

Re: Tuesday Puzzle

#15

;-)

Re: Tuesday Puzzle

#16

Re: OK

And since Dan specified that the answer was given as the deadline expired, we can infer that the third case was what happened, so all three hats were white.

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