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There are two possible sums that add up to a number evenly divisible by 2 and 3, namely 6 and 12.

There are 5 different ways to roll a sum of 6, so the probability of that happening is 5/36.

There is 1 way to roll a sum of 12, so the probability of that happening is 1/36.

The probability of either happening is the sum of the two separate probabilities.

p=5/36+1/36=6/36=1/6 ~= .1667 = 16.67%

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