On Sat, Jun 13, 2009 at 2:31 PM, Alex Smith <ais...@bham.ac.uk> wrote:
> There is one puzzle this week, "Mystery Hats" by Yally: > > On Tue, 2009-06-09 at 10:21 -0500, Aaron Goldfein wrote: > > The text for the puzzle is as follows. Three men are playing a game. > > In this game, each of them is wearing a hat that is either yellow or > > blue. There are a total of three yellow hats and two blue hats, and > > the three men know this. After a hat is given to each of the men, the > > other two are discarded so that nobody knows what color they are. The > > men sit in order such that the man in the back can see the hats of the > > two men in front of him, the man in the middle can see the hat of the > > one man in front of him, and the man in the front can see no hats. No > > man can see his own hat. Starting with the man in the back, the > > contestmaster asks what color hat he is wearing. The man in the back > > says he does not know. The contestmaster then asks the man in the > > middle what color hat he is wearing. The man in the middle says he > > does not know. Assuming that the two men answered truthfully and > > correctly, what color hat must the man in the front be wearing? > > Correct answers must include reasoning. > > Usual rules apply; you have one week from now to answer it. Good luck! > > -- > ais523 > Contestmaster, Enigma > > CoE: I submitted a puzzle last week. -- --Rodlen