A UK investment firm called Gloucester Research used these for a cool recruitment puzzle: > You've probably come here via the dice we handed out at one of our

A UK investment firm called Gloucester Research used these for a cool recruitment puzzle: > You've probably come here via the dice we handed out at one of our recruiting > events. By now you've hopefully noticed what's special about the 4 dice you're > looking at: "red beats green beats blue beats white beats red", each with 66.7% > probability. They are known as Efron's dice, and you can find some more info on > this Wikipedia page. > Your mission, should you choose to accept it, is to generalise the situation. > For example, can you improve on the 66.7%? What if the dice are replaced by > arbitrary random variables? What is the best "mutual beating probability" if >you have only three dice? Or more than four? It's a fun challenge and I'd recommend giving it a go if you have an interest in maths.