Question: A prison has 23 prisoners in 23 different cells. The prisoners have no way to communicate with each other in any way from their cells. There is another room, the rec room, that has two switches on the wall (A and B). The switches have on and off positions but they start in an unknown position.
Prisoners are randomly taken to and from the rec room one at a time. They must change the position of only one of the two switches each time they go to the room. At any point a prisoner can yell out, "Every prisoner has been here!" If the prisoner is correct that all of the prisoners have visited the rec room, then they all go free. If they aren't correct then they are all executed.
Before they start they are given one planning session during which they can discuss a method to win the game. What method can they use to ensure they all go free?
Answer: Here are the rules they can use to ensure they will all go free eventually:
The prisoners will choose one 'leader' and everybody else will be a follower. If you are a follower:
Question: What is the next sequence of numbers and why? 1 11 21 1211 111221 312211
Answer: 13112221 Read off the digits of the previous member and count the number of digits in groups of the same digit. There is one # 3, one # 1, two #2s, and two #1, thus, 13112221.
Question: What is that thing we buy for eating but cannot eat it?
Question: You build a house and all 4 walls are facing south. Where did you build the house?
Answer: On the north pole.
Question: A girl dove in the sea.. some say there are two people under the sea. Why is that?
Answer: The girl was pregnant.
Question: What tastes better than it smells?
Answer: A tongue.