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 divisible by 5 or 6 (or both).

Question

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 divisible by  5  or  6  (or both).