An ordinary $($fair$)$ die is a cube with the numbers through 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 $8$

Event : The sum is not divisible by $4$ and not divisible by $6.$