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 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
8
.
Event
B
: The sum is not divisible by
4
and not divisible by
5
.
Round your answers to two decimal places.

(a) PA =
(b) PB =