Buffett once attempted to win a game of dice with Bill Gates using intransitive dice. "Buffett suggested that each of them choose one of the dice, then discard the other two. They would bet on who would roll the highest number most often. Buffett offered to let Gates pick his die first. This suggestion instantly aroused Gates's curiosity. He asked to examine the dice, after which he demanded that Buffett choose first." In 2010, Wall Street Journal magazine quoted Sharon Osberg, Buffett's bridge partner, saying that when she first visited his office 20 years earlier, he tricked her into playing a game with intransitive dice that could not be won and "thought it was hilarious". Intransitive dice set for more than two players A number of people have introduced variations of intransitive dice where one can compete against more than one opponent. Three players Oskar dice Oskar van Deventer introduced a set of seven dice (all faces with probability ) as follows: A: 2, 2, 14, 14, 17, 17 B: 7, 7, 10, 10, 16, 16 C: 5, 5, 13, 13, 15, 15 D: 3, 3, 9, 9, 21, 21 E: 1, 1, 12, 12, 20, 20 F: 6, 6, 8, 8, 19, 19 G: 4, 4, 11, 11, 18, 18 One can verify that A beats {B,C,E}; B beats {C,D,F}; C beats {D,E,G}; D beats {A,E,F}; E beats {B,F,G}; F beats {A,C,G}; G beats {A,B,D}. Consequently, for arbitrarily chosen two dice there is a third one that beats both of them. Namely, G beats {A,B}; F beats {A,C}; G beats {A,D}; D beats {A,E}; D beats {A,F}; F beats {A,G}; A beats {B,C}; G beats {B,D}; A beats {B,E}; E beats {B,F}; E beats {B,G}; B beats {C,D}; A beats {C,E}; B beats {C,F}; F beats {C,G}; C beats {D,E}; B beats {D,F}; C beats {D,G}; D beats {E,F}; C beats {E,G}; E beats {F,G}. Whatever the two opponents choose, the third player will find one of the remaining dice that beats both opponents' dice. Grime dice Dr. James Grime discovered a set of five dice as follows: A: 2, 2, 2, 7, 7, 7 B: 1, 1, 6, 6, 6, 6 C: 0, 5, 5, 5, 5, 5 D: 4, 4, 4, 4, 4, 9 E: 3, 3, 3, 3, 8, 8 One can verify that, when the game is played with one set of Grime dice: A