[quote]DoubleDuce wrote:
[quote]Brother Chris wrote:
[quote]Rico Suave wrote:
Riddle:
There are 4 prisoners and 1 guard. The prisoners are lined up in a straight line as shown (x’s and o’s are prisoners, Y is the guard, and | is a brick wall)
1 2 3 4
x o x | o
Y
---------->
The guard tells the 4 prisoners “I placed a hat on each one of your heads. There are 2 black hats, and 2 red hats. If one of you tell me which colour hat you are wearing, I will let you go free”
All prisoners are facing ONE way. They are not allowed to talk, communicate, touch their hats, stray from the line, turn around, signal to each other, look at their own hat, etc. They are only allowed to face the one way (in which the arrow shows). There is a brick wall in between 123 and 4. Noone can see through, over, around, or under the wall.
Here is how the guard placed the hats on the heads of the prisoners (R = red, B = black)
1 2 3 4
R B R | B
Y
----------->
Which, if any, prisoner will raise their hand and tell the guard what colour hat they are wearing? They only have one guess, and if they are wrong, they will be shot.[/quote]
Prisoner 2 would call out, because he would know that if his hat were the same color as 3’s hat, then 1 would have known that his own hat was the opposite color of 3 and 2’s hat and would have called out. Since 1 did not speak then 2 knows that his hat is the opposite color of 3’s[/quote]
Actually, if 2 gets to call out his hat is black, 3 will also be able to deduce that his is red.
Oh, and the whole thing requires the prisoners to know the exact set up.[/quote]
BrotherChris had it right. I guess 3 can also call it out but that is after prisoner 2 does. The riddle doesn’t actually continue on past solving the for the first prisoner.
To your second point, no it doesn’t. The only thing the prisoners must know is that there is 2 black and 2 red hats. The order does not matter. However, if the order was different, then the answer would probably not be prisoner 2 and the riddle would most likely not be a riddle to begin with.