In the wikipedia article https://en.wikipedia.org/wiki/Nontransitive_dice it is claimed that " The set of nontransitive dice were investigated by the Latvian computer scientist and mathematician Rusins Freivalds. He showed that if there is a set of n dice, and each die beats the next with probability p, then p can be arbitrarily close (but not equal) to 3/4 = 0.75 when n goes to infinity. " but no reference is given, and a search on google scholar gives nothing. Does anybody know a reference for this claimed result? The following (with its answers) is possibly related: http://mathoverflow.net/questions/119867/what-is-the-most-extreme-set-4-or-5-nontransitive-n-sided-dice