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CATEGORIES:The Archimedeans (CU Mathematical Society)
SUMMARY:Non-transitive sets of dice - Professor Graham Bri
 ghtwell (LSE)
DTSTART;TZID=Europe/London:20080215T193000
DTEND;TZID=Europe/London:20080215T203000
UID:TALK10811AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/10811
DESCRIPTION:It is well-known that there is a trio of "three-si
 ded dice" A\, B and C\, with the following propert
 y. Â If A and B are rolled\, then the probability 
 that the number showing on die A is greater than t
 hat on die B is strictly greater than 1/2 - A beat
 s B - while similarly B beats C and C beats A. Thi
 s observation may seem to lie purely within the re
 alm of recreational mathematics\; my aim in this t
 alk is to explain how examples of such "non-transi
 tivity" lead to some interesting mathematics.
LOCATION:Centre for Mathematical Sciences\, Cambridge
CONTACT:
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