Trio

pick any die. i’ll pick one that beats it.

three dice where each one is beaten by another

The dice have odd faces: ivory is five 3s and a 6, red is three 2s and three 5s, blue is a 1 and five 4s. Ivory beats red on 21 of the 36 ways two dice can land, red beats blue on 21, and blue beats ivory on 25. So whichever die you pick, another one beats it more often than not, and "beats" goes round in a circle, like rock, paper, scissors: there is no best die.

Concepts: probability, game-theory.

An interactive you play with one thumb, on Wundr.