Problem #WSP-000408

Problem

Consider the following dice below:

That is, the green die on the left has sides \(2,2,4,4,9,9\), the red die in the middle has sides \(1,1,6,6,8,8\) and the blue die on the right has sides \(3,3,5,5,7,7\). In each of the dice, each side is equally likely to appear.

Imagine we both roll one die, and whoever gets the higher score wins. If I choose the green die, what die should you choose?