Four prisoners are arrested for smoking weed, but the jail is full and the jailor has nowhere to put them. He eventually comes up with the solution of giving them a puzzle so if they succeed they can go free but if they fail they are executed.
The jailor puts three of the men sitting in a line. The fourth man is put behind a screen (or in a separate room). He gives all four men party hats. The jailor explains that there are two black hats, and two white hats; that each prisoner is wearing one of the hats; and that each of the prisoners only see the hats in front of him but not on himself or behind him. The fourth man behind the screen can't see or be seen by any other prisoner. No communication among the prisoners is allowed.
If any prisoner can figure out what color hat he has on his own head with 100% certainty (without guessing) and tell the jailor all four prisoners go free. If any prisoner suggests an incorrect answer, all four prisoners are executed.
Try to solve.
Gang up on jailor
If nobody figures this out, will you explain?
>>8294732
With prisoners in this order:
>1 2 3; 4 hidden away
1 will either see two same colored hats or two different ones in front of him. If he sees two same colored hats, he'll immediately know his own and can tell the jailor.
If he sees different colors, he'll keep silent. If he keeps silent, 2 will know that his color is different from 3 and will know his color and tell the jailor.
Hint: silence is a form of communication which is allowed
>>8294732
if the man in the back sees two like color hats, he will say his and give away that the two in front have the same color
if they have different color hats then the one in the middle will know which hat he has since the one in the back did not say anything
is this supposed to be a joke?
>>8294769
A for you
>>8294791
he's a big guy
>>8294732
The prisoners would talk to eachother, the guy behind one other guy just tells him, an the 3rd guy confirms, and they go free, this is retarded easy
o shit i copied the wrong thing from wikipedia. the 10 hat thing requires a bit more thought. this si retarded easy.
>>8294732
If the third guy sees two black/white hats in front of him, he knows what hat he's wearing.
If the third guy doesn't answer, then the second guy knows it's because he and the first guy are wearing different colored hats. He also knows what color hat the first guy is wearing, so he can answer.
He still gets it wrong because DUDE WEED.
Plot twist, last guy in line has his vision blinded by cataracts developed over the years from his exposure to the DUDE WEED smoke.
EVERYONE IS EXECUTED.
>>8294769
Nice