Imagine that such a die is rolled twice in succession and


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  7.
  • Event  B: The sum is not divisible by  5.

Write your answers as exact fractions.

 

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Mathematics: Imagine that such a die is rolled twice in succession and
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