An ordinary (fair) die is a cube with the numbers
on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event : The sum is greater than .
Event : The sum is not divisible by and not divisible by .
Write your answers as exact fractions