Questions tagged [hat-guessing]
Cooperative games where a team of players must try to guess the color of their hat, but can only see their teammates' hats.
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N logicians wearing hats of N colors
N logicians are wearing hats which can be of N different colors (each hat has one color; there can be multiple hats with the same color). Each logician can see the colors of all hats except his own. ...
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Hats and Aliens
Here's a neat little puzzle taken from a Google interview question:
10 humans are abducted by aliens; each represents 10% of the entire human population. The aliens give each abductee either a purple ...
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Of men and hats
There's an obvious generalization of this problem: There are a rather large number of prisoners, each of them seeing the color of the hat of all the following sad fellows bot not their; the hats may ...
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10 prisoners and 10 lists of numbers [duplicate]
10 prisoners are held captive by a cruel warden. One day he gathers them in the prison hall and tells them about a new game he wants to play:
"Tomorrow, I will assign each one of you a random ...
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Four prisoners wearing black and white hats
There are four prisoners. All four prisoners will be freed, if at least one of them correctly guesses the color of the hat on his head.
They can't speak to each other, and they can't touch each other.
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Red and Blue in the Chocolate Fountain Room
Where: Hackanoogie Prison. When: Who cares?
The Master Key Keeper had had a really good day and in a fit of insanity and niceness decided to let all the inmates to go free if they manage to carry ...
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Infinitely many dwarves wearing hats of 2 colours
I have heard of the puzzle with 100 or 10 dwarves wearing a hat of a color, either red or blue, and standing in a straight line, and having to guess the color of their own hat - it's quite easy.
The ...
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Guessing hat colors. 4 prisoners
This is a variant about guessing hat colors. You may want to try
Hats and alien or Guessing hat colors or Four prisoners wearing black and white hats.
Statement
4 prisoners are to be executed. The ...
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Alternating Hat Colors
A prison warden offers his inmates a game for their freedom. He will secretly write a number on each of their foreheads, with no two foreheads having the same number. The inmates get to look around, ...
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Cooperative guessing game: no incorrect guesses
There are 15 players who will play a cooperative game. They begin by closing their eyes. A referee will place either a black hat or a white hat (chosen by fair coin flip) on each player's head. The ...
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Guess your hat color, but you don't have to
Here is the puzzle:
N hats are put on N logicians, each hat color is selected randomly: black or white.
As usual, every logician doesn't see the hat on his own head, but sees the rest. They cannot ...
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Guessing game with infinity coin flips
Evan and Ollie are going to play a game as a team. The two friends placed in separate rooms, and then a coin is flipped infinitely many times*. Evan is told the results of the even numbered flips, ...
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Five Hats and Three Logicians
Three logicians were seated around a table. They were blindfolded and a colored hat was placed on each of their heads. They were told a true statement
The hats on your heads were chosen among 3 ...
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6 prisoners, 2 colors, one mute
Just like the classic 4 prisoners hats riddle, here we have 6 prisoners buried to their necks in the ground. They can only look straight ahead so that A only sees B, C, D, E while B sees C, D, E, and ...
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3 Numbers on Hats, A = B + C
This feels like it should be a common puzzle, but I haven't found anything exactly like it searching online, so here goes. Apologies if it's a duplicate.
Three logicians, person 1, 2, and 3, along ...
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