Crazy Dice
Can you choose a winner?

Here we have 4 unusual dice — one has a 3 on all six faces, one has four 4s and two blank faces, one has three 5s and three 1s, and the last has two 6s and four 2s.

Suppose you are competing with a friend. Each of you can choose a die, and the winner is the person who most often rolls the largest value. Being a fair-minded individual, your friend kindly allows you to choose first. Which die should you choose?

Simulate the game using the app below and see if that helps you make your choice.


(Scores are written a-b, where a is the number of wins for the dice from the label to the left, and b is the the number of wins for the die from the label below.)

Is your friend actually being as fair as it seems?