Answer
*Note: $a:b$ denotes that Roll 1 resulted in $a$ and Roll 2 resulted in $b$
$S = \{1:1, 1:2, 1:3, 1:4, 2:1, 2:2, 2:3, 2:4, 3:1, 3:2, 3:3, 3:4, 4:1, 4:2, 4:3, 4:4\}$
Work Step by Step
The sample space of a random phenomenon is the set of all possible outcomes. The set of all possible outcomes in this scenario is every unique combination of the first dice roll from 1-4 and the second dice roll from 1-4