An ordinary (fair) die is a cube with the numbers 1 through 6 on

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 .
Event : The sum is not divisible by  and not divisible by .

Write your answers as exact fractions

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