You receive a strange letter stating the following:

You are one of 20 logicians worldwide to receive this letter. You don't know each other, but you all think alike. An address is given, and you are told that if a letter is received from one and only one of you, all 20 will equally split a large sum of money. If no letters are received, or more than one, no prize.

What would you to for a chance of winning the prize? What could you do in order to maximise the probability of winning?

If they all think the same, they could all travel to the destination where they are to post the letter.  They then would find the other logicians there also.  They would then go and buy a letter from a store nearby together, and would post it, winning a prize.

Posted by Chris, Phd on 2004-12-20 05:59:16