Question: A man is going to be sentenced to four or six years in prison, the judge said to him "You can say one statement, if it is true you will be sentenced to four years in prison, if it is false you will be sentenced to six years in prison". After the man said his statement the judge decided to let him go. Whatdid the man say?
Answer: He said "You will sentence me to six years in prison". If it was true, the judge would have to make it false, so instaed of contrversing his own word he decided to let him go.
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Question: How many types of animals did moses take on the arch?
Answer: none, noah did
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Question: What's Heavier, A Pound Of Rocks, Or A Pound Of Feathers?
Answer: There Both One Pound.
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Question: A man is on the roof of a building he is working but he is not working he falls to his death but did not jump off the edge of the building.
How did he die??
How did he die??
Answer: He was construction worker on his break and fell off the steel bar.
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Question: Imagine you are in a room, no doors windows or anything,
how do you get out?
how do you get out?
Answer: Stop imagining.
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Question: What is a computer virus?
Answer: A terminal illness.
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Question: You have 52 playing cards (26 red, 26 black). You draw cards one by one. A red card pays you a dollar. A black one fines you a dollar. You can stop any time you want. Cards are not returned to the deck after being drawn. What is the optimal stopping rule in terms of maximizing expected payoff?
Also, what is the expected payoff following this optimal rule?
Also, what is the expected payoff following this optimal rule?
Answer: The solution to this problem is, in my opinion the most difficult to understand of all the puzzles. Indeed I was unable to solve it and didn't receive a complete solution until two years after originally posting it. The final solution, in the form of the spreadsheet was sent to me by Han Zheng.
For this reason I have left on the page the thoughts i had before I had the final solution as they represent an easier to understand and more simplistic approach. Also the reasoning may help you arrive at the final solution by yourself or help you understand it. I would recommend reading that answer before you dive into the full answer. But an important thing to note are that as the player we can't lose this game as we can gamble till all the cards are drawn and our net position is zero.
From our earlier analysis it is clear we need a dynamic quit rule. A singal value is not sufficent. We must, at each stage consider what cards are remaining, and therefor the probability of a positive or negative outcome from drawing again.
For the explanation i will ask you first to consider a deck containing only 6 cards, 3 +ve & 3 -ve (note i'm no longer calling the cards black and red, it confuses me.)
For this reason I have left on the page the thoughts i had before I had the final solution as they represent an easier to understand and more simplistic approach. Also the reasoning may help you arrive at the final solution by yourself or help you understand it. I would recommend reading that answer before you dive into the full answer. But an important thing to note are that as the player we can't lose this game as we can gamble till all the cards are drawn and our net position is zero.
From our earlier analysis it is clear we need a dynamic quit rule. A singal value is not sufficent. We must, at each stage consider what cards are remaining, and therefor the probability of a positive or negative outcome from drawing again.
For the explanation i will ask you first to consider a deck containing only 6 cards, 3 +ve & 3 -ve (note i'm no longer calling the cards black and red, it confuses me.)
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Question: what has no name has no life has no anything?
Answer: nothing
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Question: what is greater than god more evil than satan (the devil) the poor people have it the rich people need it and if you eat it you die
Answer:
NOTHING
NOTHING
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Question: I have legs but walk not
A strong back but work not
Two good arms but reach not
A seat but sit and tarry not
What am I?
A strong back but work not
Two good arms but reach not
A seat but sit and tarry not
What am I?
Answer: I am a chair.
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