text: The total number of possibilities is 6*6*4 = 144 because you have 6 choices for the first, 6 choices for the second, and 4 choices for the third.\nThe greatest sum you could possibly have is 6+6+4 = 16.\nThus, the only numbers that are less than or equal to 16 and divisible by six are 6 and 12.\nFind the number of ways to roll a sum of 6\n1,1,4\n1,2,3\n1,3,2\n1,4,1\n2,1,3\n2,2,2\n2,3,1\n3,1,2\n3,2,1\n4,1,1\nThese are the only possiblities for 6 (You should check to make sure I didn't miss any.)\nNumber of ways to roll a sum of 6 is 10.\nWays to roll 12:\n2,6,4\n3,5,4\n3,6,3\n4,4,4\n4,5,3\n4,6,2\n5,3,4\n5,4,3\n5,5,2\n5,6,1\n6,2,4\n6,3,3\n6,4,2\n6,5,1\nNumber of ways to roll twelve is 14\nnumber of ways to have a sum of 6 or twelve = 10+14 = 24\nAnswer: 24/144 = 1/6