1. Problem: Write all possible values of the random variable $X$ representing the number of even number outcomes in a roll of a die. 2. Explanation: A die has six faces numbered 1 to 6. The even numbers on a die are 2, 4, and 6. 3. Since the roll of a die results in exactly one number, the number of even outcomes in one roll can only be 0 (if the outcome is odd) or 1 (if the outcome is even). 4. Therefore, the possible values of $X$ are: $$X = \{0, 1\}$$ This means either no even number is rolled (0) or exactly one even number is rolled (1).