1. **State the problem:** Jaime rolls a number cube (with faces 1 to 6) and spins a spinner divided into three equal sections: Red, Blue, and Green. We want to understand all possible outcomes. 2. **Formula and rules:** The total number of outcomes when two independent events occur is the product of the number of outcomes for each event. 3. **Calculate outcomes:** The number cube has 6 outcomes: $\{1,2,3,4,5,6\}$. The spinner has 3 outcomes: $\{\text{Red}, \text{Blue}, \text{Green}\}$. 4. **Total outcomes:** $$6 \times 3 = 18$$ 5. **List outcomes:** Each number from 1 to 6 pairs with each color, e.g., $(1, \text{Red}), (1, \text{Blue}), (1, \text{Green}), \ldots, (6, \text{Green})$. 6. **Interpretation:** The tree diagram with 6 branches (numbers) each branching into 3 (colors) correctly shows all 18 possible outcomes. **Final answer:** There are 18 possible outcomes when Jaime rolls the number cube and spins the spinner.