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<h3>Answer: 13/36</h3>
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Explanation:
Refer to the chart below. The values in red up top add to the values in blue along the left column to get the 6 by 6 grid of values inside. This represents all of the possible ways to add up values on a pair of dice. There are 6*6 = 36 outcomes.
Of those 36 outcomes, we have 13 outcomes where we roll less than a 4, or greater than 8
- outcome = 1+1 = 2
- outcome = 1+2 = 3
- outcome = 2+1 = 3
- outcome = 3+6 = 9
- outcome = 4+5 = 9
- outcome = 5+4 = 9
- outcome = 6+3 = 9
- outcome = 4+6 = 10
- outcome = 5+5 = 10
- outcome = 6+4 = 10
- outcome = 5+6 = 11
- outcome = 6+5 = 11
- outcome = 6+6 = 12
These 13 results are shown in green boxes in the diagram.
Since we have 13 ways to get what we want, out of 36 total, the final answer as a fraction is therefore 13/36
13/36 = 0.3611 = 36.11% approximately