Right, so this is a thread for people to post paradoxes or any math related problems (or any puzzles really) that they find takes your brain to a whole new level. In essence, this thread will likely bore the pants off the vast majority of MBers.
I thought I'd start with a relatively well known one (especially if you've seen 21), the Monty Hall problem:
Quote:
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Originally Posted by Wikipedia
Suppose you're on a game show and you're given the choice of three doors [and will win what is behind the chosen door]. Behind one door is a car; behind the others, goats [unwanted booby prizes]. The car and the goats were placed randomly behind the doors before the show. The rules of the game show are as follows: After you have chosen a door, the door remains closed for the time being. The game show host, Monty Hall, who knows what is behind the doors, now has to open one of the two remaining doors, and the door he opens must have a goat behind it. If both remaining doors have goats behind them, he chooses one [uniformly] at random. After Monty Hall opens a door with a goat, he will ask you to decide whether you want to stay with your first choice or to switch to the last remaining door. Imagine that you chose Door 1 and the host opens Door 3, which has a goat. He then asks you "Do you want to switch to Door Number 2?" Is it to your advantage to change your choice?
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Solution:
Monty Hall problem - Wikipedia, the free encyclopedia
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