Nontransitive dice -

This is about a group of four dice. You let your opponent pick one. You pick one of the rest. You each roll your die 10 or more time. You can win nearly every time. Check it out.

Ivars Peterson says no matter which die your opponent chooses, if you pick the right one of the remaining three, you have a 2/3 chance of winning...This sort of thing is unfathomable to me.

I remember Peterson from his weekly articles in Science News throughout the 80s and 90s. The guy knows math.