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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

9

.
Event

B

: The sum is not divisible by

4

.

Write your answers as exact fractions.

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