Suppose I have 3 strange but fair dice, that is to say there is a61 chance each face will come up. Suppose,

Die A has two 1's, two 6's and two 8's.

Die B has two 2's, two 4's and two 9's.

Die C has two 3's, two 5's and two 7's.

(a) Suppose I roll die C and you roll die A, what is the chance my number is higher than yours

(b) Suppose I roll die A and you roll die B, what is the chance my number is higher than yours

(c) Suppose I roll die B and you roll die C, what is the chance my number is higher than yours