You can construct a cool game out of non-transitive dice that does this on the very first move but in a completely counter-intuitive way. https://en.wikipedia.

You can construct a cool game out of non-transitive dice that does this on the very first move but in a completely counter-intuitive way. https://en.wikipedia.org/wiki/Nontransitive_dice https://en.wikipedia.org/wiki/Nontransitive_dice