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Posted: Thu Oct 16, 2008 2:38 pm
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Posted: Thu Oct 16, 2008 3:39 pm
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Posted: Fri Oct 17, 2008 4:01 pm
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Posted: Fri Oct 17, 2008 4:39 pm
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Posted: Sat Oct 18, 2008 4:26 pm
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Posted: Sat Oct 18, 2008 5:12 pm
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Posted: Sat Oct 18, 2008 11:34 pm
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Throw it up in the air.
Here's a toughy
100 prisoners are locked up in prison. Each prisoner in his own cell. They cannot communicate with each other, except for the one afternoon when they all arrived in prison.
Every day, the warden picks one prisoner at random and brings him to a room with a lightbulb and a lightswitch. The lightbulb is in whatever state it was left the day before. The prisoner can now choose from 3 things: 1) he leaves things as it is 2) he toggles the lightswitch 3) he states that all 100 prisoners have been in this room at least once.
After option 1 or 2, the prisoner is brought back to his cell. If the prisoner decided to go for option 3, but he is wrong, they are all executed. If he is right, they all go free.
Given that the prisoners are aware of this evil game that the warden is going to play with them, what is the strategy they should decide on the day they arrived in prison, when they could still talk to each other? Assume the prisoners know the bulb is initially at the off position.
Note: random means random. It may happen that the same prisoner is chosen 2, 3, or more days in a row.
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Posted: Sun Oct 19, 2008 5:13 pm
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Posted: Sun Oct 19, 2008 5:26 pm
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Posted: Sun Oct 19, 2008 8:18 pm
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Posted: Sun Oct 19, 2008 9:55 pm
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Posted: Mon Oct 20, 2008 7:07 am
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Posted: Mon Oct 20, 2008 11:22 am
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fire axel 08 okay...try this on for size. you are captured by a tribe of canabals the chief is a logical sort and says to you "you will make a prediction of the next couple days. if it comes true you will be thrown off a cliff. if it is false you will be eaten by lions." you think for a minute and give the chief a answer that forces him to let you go. what was the statement? I'm pretty sure it should be: "I will be eaten by lions"
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Posted: Mon Oct 20, 2008 11:53 am
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Posted: Mon Oct 20, 2008 12:53 pm
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