There are a total of $6^2$ or 36, different outcomes when you roll two die.
If the blue die is x and the yellow die is y, their outcome will be (x,y)
We set x > y, so we have:
(6,1) ; (6,2) ; (6,3) ; (6,4) ; (6,5) ; (5,4) ; (5,3) ; (5,2) ; (5,1) ; (4,3) ; (4,2) ; (4,1) ; (3,2) ; (3,1); and (2,1).
15 out of the 36 outcomes work.
The answer you are looking for is 15.