In an apartment complex in New York there are one hundred married couples. When one of the husbands cheats on his wife with one of the other wives, his wife has no idea. With the large amount of gossip in the complex, all of the other wives know he is cheating. If a wife finds out that her husband is cheating on her, she kills him the following morning. Someone anonymously sends an email to all of the wives in the building saying that at least 1 man is cheating on his wife in the building.
How many husbands will be killed and how long will it take?
All of the men (n) who are cheating will be killed and it will take one less than the number of cheating men nights (n-1) for their wives to discover this.
If one man was cheating, and that woman hadn't have heard of any other infidelity she would know it was her husband that was cheating. If there was two men cheating, both of their wives would think that since they have only heard of one man cheating he should die the next morning. If he doesn't die, she knows her husband must also be cheating and that's why the other husband didn't die. Following this logic, you can know that all of the men will die after one less night than there is cheating men.
Dr. Miller was staying with his cousin, Alfred, in Alfred’s lakeside cabin. They were setting up Alfred’s will. Since Dr. Miller was Alfred’s closest living relative, much of Alfred’s estate was being left to him.
One day, Alfred went to Dr. Miller very upset.
“Doctor,” he began, “I have just found out that an old enemy is out to get me. He is coming very soon. Where will I go? Where can I hide? If he finds me, he will surely kill me. I do not have time to leave this cabin and hide in the woods.”
Dr. Miller thought for a moment, and then grabbed a 5′ long bamboo fishing pole, with a diameter the size of a quarter.
“Alfred, follow me out to the lake. This lake is 4′ deep. If you lie on the bottom of the lake and breathe through this pole, your enemy will never find you. I will be in the bulrushes with a shotgun, and I will shoot him when he comes. I will swim down to find you when he is gone.”
Alfred thought that was a great idea and went down to the lake with the bamboo pole in his mouth.
A few hours later, a ranger passed by. He found Alfred’s body. Dr. Miller told the police of the circumstance, and that Alfred had probably panicked, and died.
Police arrested Dr. Miller on the charge of murdering Alfred. Why?
The pole was 5′ long, but only the size of a quarter. The first time he breathed in, he breathed oxygen. When he exhaled, the air could not travel 5′ before he breathed in again. He was just breathing what he exhaled. Before long, all he was breathing was carbon dioxide. He died of CO2 poisoning. Dr. Miller was the one who told him to use the pole. However, he was knowledgeable about the human body and knew breathing only carbon dioxide would result in Alfred’s death. His motive? The money in Alfred’s will.
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