The Flotterons plan to purchase paint for the walls and for the trim in their living room. They select one color for the walls and one color for the trim at random from following colors. Walls: Java, Chocolate, Mahogany Trim: Alabaster, Vanilla, Oyster Complete parts a) through e). Use the fundamental counting principle to determine the answer to part a). Assume that each event is equally likely to occur. a) Determine the number of points in the sample space. There are

To determine the number of points in the sample space for the Flotterons' paint selection, we apply the fundamental counting principle. For the walls, they have 3 color choices (Java, Chocolate, Mahogany) and for the trim, they have 3 choices (Alabaster, Vanilla, Oyster). By multiplying these together: 3 (walls) × 3 (trim) = 9 total combinations. Therefore, there are 9 points in the sample space. The combinations would be: (Java, Alabaster), (Java, Vanilla), (Java, Oyster), (Chocolate, Alabaster), (Chocolate, Vanilla), (Chocolate, Oyster), (Mahogany, Alabaster), (Mahogany, Vanilla), and (Mahogany, Oyster). So, let your creativity flow with those 9 delightful options!