The Boston Diaries

The ongoing saga of a programmer who doesn't live in Boston, nor does he even like Boston, but yet named his weblog/journal “The Boston Diaries.”

Go figure.

Friday, March 15, 2013

Rolling them bones

On GoogleFacePlusBook, Jeff linked to an article about non-transitive dice—three dice where, on average (meaning—many rolls) die A will win over die B, die B will win over die C, but die C will win over die A (kind of like rock-paper-scissors). Even weirder, if you double the dice, two A's against two B's against two C's, the order reverses! (And the accompanying video shows a series of five dice with an even weirder dual-non-transitive ordering).

This page remineded me of a set of “go-first-dice”—a set of twelve sided dice where, say, four people each have a ¼ chance of rolling the highest number, a ¼ chance of rolling the second highest number, a ¼ chance of rolling the third highest number and a ¼ chance of rolling the lowest number. In this case, the dice form a strict ordering (there is no chance of a tie).

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