Nontransitivity and Probability
Nontransitivity is the condition where a property X is not transitive, in other words, aXb and bXc do not imply aXc. The simplest example of nontransitivity is rock-paper-scissors, where rock beats scissors, scissors beat paper, and paper beat rock. Most would assume that in probability, transitivity holds. However, this is not the case, as it is possible to create dice sets and probability situations with nontransitivity. A very peculiar and non-intuitive result, this merits research. My senior honors project aims to perform further research into the dice-game example of nontransitivity in ...
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