Total number of exhaustive cases = 6 × 6 × 6 = 216. Cases favourable to get a total of 7 is = 12 that is, (1,1,5); (1,2,4); (1,3,3); (1,4,2); (1,5,1); (2,1,4); (2,2,3); (2,3,2); (2,4,1); (3,1,3); (3,2,2); (3,3,1); ( 4,1,2); (4,2,1); (5,1,1). Hence, the required probability is = 15 /216 = 5/72.