Bob's Hat (Posted on 2002-06-13)

	Submitted by Nick Reed
Rating: 3.6667 (15 votes)
Solution:	(Hide)
Let's take the statements one at a time: 1) A says "There is a chance C would tell you it's blue" A would only say this if: - A is a Knight, C is a Knight, Hat is Blue - A is a Knight, C is a Liar, Hat is not Blue - A is a Liar, C is a Knight, Hat is not Blue - A is a Liar, C is a Liar, Hat is Blue 2) A says to B "If you saw it, there is a chance you would say it is white" A would only say this if: - A is a Knight, B is a Knight, Hat is White - A is a Knight, B is a Liar, Hat is not White - A is a Liar, B is a Knight, Hat is not White - A is a Liar, B is a Liar, Hat is White Combining these with the options from point 1 results in: - A is a Knight, B is a Knight, C is a Liar, Hat is White - A is a Knight, B is a Liar, C is a Knight, Hat is Blue - A is a Knight, B is a Liar, C is a Liar, Hat is Red (not Blue or White) - A is a Liar, B is a Knight, C is a Knight, Hat is Red (not Blue or White) - A is a Liar, B is a Knight, C is a Liar, Hat is Blue - A is a Liar, B is a Liar, C is a Knight, Hat is White 3) B says "C always tells me the truth" B would only say this if: - B and C are both Knights - B and C are both Liars Combining these with the options from point 2 results in: - A is a Knight, B is a Liar, C is a Liar, Hat is Red - A is a Liar, B is a Knight, C is a Knight, Hat is Red So, although we don't know who is who, we know the hat is Red.

	Subject	Author	Date
	Puzzle Thoughts	K Sengupta	2023-03-19 08:37:56
	Bob's hat	Math Man	2013-05-01 14:03:11
	answer	K Sengupta	2008-02-14 14:53:56
	Answer	Praneeth	2007-08-29 03:02:42
	lol	Goldwing	2005-10-18 15:45:34
	there's a chance that this solution is right	tanx	2005-10-18 14:02:51
	No Subject	Terence	2005-10-13 15:27:03
	No Subject	Rex	2005-02-15 14:21:47
	gotta be...	nate	2004-12-04 21:44:27
	Answer	brian	2003-03-18 00:48:45
	A late answer	Hazirah	2002-08-03 23:59:28
	Answer	Happy	2002-06-13 13:11:08