Surprising Dice
Time and place
1 PM on Wednesday, July 17th, 2019; Marshak 418N
Ethan Akin (City College of New York)
Abstract
Note the unusual time!
A generalized die is a cube with positive numbers on the six faces, possibly with repeated values. We say that die A beats die B, when the probability that A > B is bigger than 1/2. There exist intransitive dice A, B, C with A beats B and B beats C but C beats A. In fact any pattern of winning and losing can be mimicked using dice although it may require dice with more than six sides.
