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?
(In reply to
re: probabilistic approach by Nick Reed)
I think these are all nitpics based on the physical parameters of the problem. I think that for the purposes of this particular problem, sending a letter is something that you either do or do not do, and if you did send it, it would be received.
While its interesting to see how we can "cheat" by taking advantage of different real-world limitations of this problem, I think overall TomM's or Cheradenine's are the solutions the author intended.
(And, no, I haven't looked yet) :)
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Posted by levik
on 2002-12-09 07:38:06 |