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

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 

A

: The sum is greater than 

7

.
Event 

B

: The sum is not divisible by 

3

 and not divisible by 

6

.

Write your answers as exact fractions