Pick a chord at random in a circle of radius 1 unit. What do you suppose is the probability that the chord intersects a concentric circle of radius 1/2?
Re: Bertrand's ParadoxhyperbrainApril 13 2007, 05:22:44 UTC
Well, the operative word is "at random". By definition, at random means taking IID (independent and identically distributed) samples. Going by this convention, (1) and (2) result in non-IID samples. (3) is indeed simple and it does give IID samples. The problem actually reduces to the probability that a point picked at random lies in the concentric circle. Simple, eh?
(The comment has been removed)
Reply
Leave a comment