Author |
Topic: Three men and some hats. (Read 2999 times) |
|
Johno-G
Newbie
Could God create a wall that he could not jump?
Gender: 
Posts: 31
|
 |
Three men and some hats.
« on: Jan 10th, 2003, 1:58am » |
 Quote  Modify
|
Three men, A B and C, are all held captive, sat on chairs, blindfolded and have hats placed on each of their heads - A's hat is black, B's hat is white, and C's is black. They are strategicaly positioned, and the blindfolds are removed.
They are positioned such that C can see the colour of the hats A and B are wearing, B can see the colour of the hat A is wearing, and A can see nothing. None of the men can see the colour of the hats that they are wearing themselves, and none of them is alowed to move.
All the men know that, of the three hats they are all wearing, one is white, one is black, and the other is either white or black. They also know how everyone is positioned.
The men are not allowed to converse, they are only allowed to announce out loud what colour hat they have on.
The men are told they will be shot in ten minutes unless one of the men works out what colour hat he is wearing. They will also be shot if one of the men guesses incorectly what hat he is wearing.
Which of A, B or C works out the colour of their own hat and saves them all? (and, of course, why?)
|
|
 IP Logged |
|
|
|
wowbagger
Uberpuzzler
 
Gender:
Posts: 727
|
|
Re: Three men and some hats.
« Reply #1 on: Jan 10th, 2003, 2:53am » |
Quote Modify
|
Here's my answer (hidden by colour):
If C sees two hats of the same colour on the heads of A and B, he'll announce his own hat to be of the other colour.
If C doesn't announce anything (after a reasonable period of time, say 8 or 9 minutes), B will claim his hat to be of different colour than A's.
BTW: This riddle is closely related to 3 hats (which also has a forum thread), but beware: The statement of that riddle could turn out to be a strong hint.
|
| « Last Edit: Jan 10th, 2003, 3:39am by wowbagger » |
IP Logged |
"You're a jerk, <your surname>!"
|
|
|
|
RIDDLES SITE
WRITE MATH!
Home 
Help 
Search 
Members 
Login 
Register
Reply
Notify of replies
Send Topic
Print