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University of Cambridge > Talks.cam > The Archimedeans (CU Mathematical Society) > Non-transitive sets of dice

## Non-transitive sets of diceAdd to your list(s) Download to your calendar using vCal - Professor Graham Brightwell (LSE)
- Friday 15 February 2008, 19:30-20:30
- Centre for Mathematical Sciences, Cambridge.
If you have a question about this talk, please contact archim-publicity. 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 the probability that the number showing on die A is greater than that on die B is strictly greater than 1/2 – A beats B – while similarly B beats C and 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. This talk is part of the The Archimedeans (CU Mathematical Society) series. ## This talk is included in these lists:- Centre for Mathematical Sciences, Cambridge
- Guy Emerson's list
- The Archimedeans (CU Mathematical Society)
- bld31
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