LOGIC 1: If any of three prisoners in front had a single white hat, it implies, number of black hats worn by the other two can at most be 2, and so hats left might well be 1 black and 3 white. He knew that there are 3 black hats and 4 white hats. He could see all three hats in front of him and couldn't be sure of the color of his own hat. Okay, that being clear, can you say what is the implication of the first response of silence? Implication of the SILENCE of the first prisoner at the back: 4 prisoners and hats puzzle At each step with each answer, ALL PRISONERS YET TO BE QUESTIONED must deduce the IMPLICATION OF ALL PREVIOUS ANSWERS. Solution to the 4 prisoners and hats puzzle by implication analysis and reasoning Time for you solve the riddle: 10 minutes. The happy news is: The shortest prisoner, the fourth in the queue, could correctly tell the color of his hat and got his freedom after the first three remained silent.Ĭan you say what has been the color of the hat of the prisoner who earned his freedom? And why do you think it is so? "Okay, let's start the game." The alien Chief ambles towards the prisoner at the back, the first one in the queue, and asks his first question. The Alien Chief finally rubs his tentacles and says, "Any questions?" All were silent. Every prisoner must not look behind and must not pass any kind of hint to the others except say the valid allowed answers which all can hear.Same question will be asked to the next one in the queue and the game will continue. If a prisoner is silent, he won't die or earn his freedom either.If the answer is correct, the prisoner will be set free, but if wrong he will die. The prisoner has two options: either to tell the color of his hat, or stay silent.Each prisoners will be asked a question starting from the back, "What is the color of your hat?".Out of a total 7 hats, 3 black and 4 white, one hat is placed on the head of each.Details of the Game: 4 prisoners and hats puzzle
Preparation for the test being over, blindfolds are removed and the Chief tells the prisoners about the game. The prisoners are now blindfolded and a hat is placed on the head of each. Naturally, the shortest prisoner is placed right in the front. The prisoners are lined up in a queue so that the tallest in the back can see the heads of all others in front and the same for the others. One day in a playful mood, the Alien Chief offers a way of freedom to the prisoners through a game. Can anyone win? The logic puzzleĪliens have captured 4 humans all of whom happens to be logicians. Each will wear a hat and guess its color. The prisoners and hats puzzle tests your logical thinkingĤ Prisoners and Hats Puzzle: Alien chief offered a game of freedom or death to his 4 prisoners.
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