# Nontransitive dice

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: What is the most extreme set 4 or 5 nontransitive n-sided dice?

• In the talk page of the Wikipedia page, somebody refers to this and this paper. Did you check these? – Janne Kokkala Aug 12 '14 at 10:42
• – Gerry Myerson Aug 12 '14 at 13:04