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+
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+ The following is not for credit and will not be covered on any quiz or exam.
+ This is just for fun.
+
+ A superintelligent robot named Bob waits in a room with two boxes.
+ Box 1 contains $1000.
+ Box 2 is a mystery box containing a secret amount of money.
+ Bob will offer you the choice:
+
+ You can take the mystery box alone, or
+
+ You can take both boxes.
+
+
+ Bob is very accurate at predicting ahead of time what people will do.
+ If Bob thinks that you'll choose to take only the mystery box, he'll put $1 million dollars in the mystery box.
+ If Bob thinks that you'll choose to take both boxes, he'll put nothing in the mystery box.
+ Bob made his prediction and placed $1 million or $0 in the mystery box before you entered the rooms and learned the rules of the game.
+
+ Would you take just the mystery box? Or would you take both boxes? +
+ + + +
+ Let
+ Let