# SOLUTION: 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 v

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Question 608878: 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 3 and not divisible by 4.

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Sum Ways # of Ways
21,11
31,2; 2,12
41,3; 2,2; 3,13
51,4; 2,3; 3,2; 4,14
61,5; 2,4; 3,3; 4,2; 5,15
71,6; 2,5; 3,4; 4,3; 5,2; 6,16
82,6; 3,5; 4,4; 5,3; 6,25
93,6; 4,5; 5,4; 6,34
104,6; 5,5; 6,43
115,6; 6,52
126,61

The probability of anything is the number of ways that it can happen that you would consider a success divided by the number of ways it can happen total -- successes and failures.

If you add up the number of total ways that you can roll a pair of dice you get 36.

John

My calculator said it, I believe it, that settles it