text: The possible scores that are greater than 7 are 8, 9, 10, 11, and 12.\nYou could get an 8 by rolling (4,4), (2,6), (6,2), (3,5), or (5,3), so there are 5 ways.\nYou can get a 9 by rolling (4,5), (5,4), (3,6), or (6,3), so there are 4 ways.\nFor 10: (5,5), (4,6), (6,4): 3 ways\nFor 11: (5,6) or (6,5): 2 ways\nFor 12: (6,6): 1 way\nNow we need to count all the even numbers less than seven; these are 2, 4, and 6.\n2: (1,1): 1 way\n4: (1,3), (3,1), (2,2): 3 ways\n6: (3,3) (1,5), (5,1), (2,4), (4,2): 5 ways\n\nAdd these all together to get\n5 + 4 + 3 + 2 + 1 + 1 + 3 + 5= 24\nThe total number of possibilities is 6*6 = 36 because there are 6 possible choices for each dice.\nThe answer to part a is 24/36 = 2/3 = .666666666...\n\npart b\nThe scores greater than 7 and divisible by 3 are 9 and 12.\nThe number of ways to roll a score of 9 is 4 and the number of ways to roll a score of 12 is 1.\nThus, the answer is 5/36 = .138888888...