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 divisible by or (or both).

Question

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 divisible by  or  (or both).