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
.
Round your answers to at least two decimal places.