Outcomes= (1,1),(1,2),(1,3),(1,4),(1,5),(1,6)
(2,1)(2,2),(2,3),(2,4),(2,5),(2,6)
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)
(i) Sum is 8
Favourable outcomes = (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) = 5
P(sum is 8) = 5/36
(ii) Sum is 13
Favourable Outcomes = 0
P(sum is 13) = 0
Since the maximum sum that can be obtained is 12.
(iii) Less than or equal to 12
Possible outcomes = All outcomes have sum less than or equal to 7.
P(less than or equal to 12) = 1