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Prisoners in sand puzzle

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Prisoners in sand puzzle

  1. 1. Prisoners and Hats
  2. 2. Prisoners and Hats <ul><li>According to the story, four prisoners are arrested for a crime, but the jail is full and the jailer 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. </li></ul>
  3. 3. Prisoners and Hats <ul><li>The jailer puts three of the men buried in sand in a line. The fourth man is put behind a screen. He gives all four men hats. The jailer explains that there are two white and two black hats. </li></ul>
  4. 4. Prisoners and Hats <ul><li>The prisoners can see the hats in front of them but not on themselves or behind. The fourth man behind the screen can't see or be seen by any other prisoners. No communication between the men is allowed. </li></ul>
  5. 5. Prisoners and Hats <ul><li>If any prisoner can figure out and say (out loud) to the jailer what colour hat he has on his head all four prisoners go free. The puzzle is to find how the prisoners can escape. </li></ul>
  6. 6. Prisoners and Hats
  7. 7. Prisoners and Hats 1 2 3 4
  8. 8. Prisoners and Hats <ul><li>There is a pause, and suddenly “3” shouts out – “ I know, I have a white hat ” – how did he know? </li></ul>1 2 3 4

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