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SUMMARY:Non-transitive sets of dice - Professor Graham Brightwell (LSE)
DTSTART:20080215T193000Z
DTEND:20080215T203000Z
UID:TALK10811@talks.cam.ac.uk
CONTACT:4847
DESCRIPTION:It is well-known that there is a trio of "three-sided dice" A\
 , B and C\, with the following property. Â If A and B are rolled\, then t
 he probability that the number showing on die A is greater than that on di
 e B is strictly greater than 1/2 - A beats B - while similarly B beats C a
 nd C beats A. This observation may seem to lie purely within the realm of 
 recreational mathematics\; my aim in this talk is to explain how examples 
 of such "non-transitivity" lead to some interesting mathematics.
LOCATION:Centre for Mathematical Sciences\, Cambridge
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