The Motley Fool Discussion Boards Previous Page Investment Analysis Clubs / Macro Economic Trends and Risks URL:  https://boards.fool.com/2-vitali-set-we-can-all-agree-i-think-that-30398800.aspx Subject:  Re: 5 Statistics Problems To Change Your View Date:  11/25/2012  9:24 PM Author:  warrl Number:  409586 of 591799 2. (Vitali set) We can all agree, I think, that if we throw a dart at a dart board in a completely fair way -- so that all zones of the same size are equally likely to be hit -- then the probability of hitting any particular zone is proportional to the size of the zone.Let us make a dartboard which is a uniform tesselation of two shapes, one of them being one square inch and the other being three square inches.Now let us put a powerful magnet behind each of the smaller shapes.And let us throw at it a dart with an iron tip.We have a dartboard where zones of the same size are equally likely to be hit, but zones of different sizes are hit in proportions which do not match their area. Copyright 1996-2020 trademark and the "Fool" logo is a trademark of The Motley Fool, Inc. Contact Us