Answer
(a) S={(1,1),(1,2),(1,4),(2,1),(2,2),(2,4),(4,1),(4,2),(4,4)}
(b) S={2,3,4,5,6,8}
Work Step by Step
(a) The list of the sample space (u, v) is:
S={(1,1),(1,2),(1,4),(2,1),(2,2),(2,4),(4,1),(4,2),(4,4)}
(b) The list of the outcomes in the sample space of sums, u + v:
S={2,3,4,5,6,8}