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. List the sample space, Choose the correct answer below. A. J, C, M, A, V, O B. JA, JV, JO, CA, CV, CO, MA, MV, MO O C. JA, JV, JO, CA, CV, CO, MA, MV, MO, JC, JM, CM, AV, AO, VO O D. JC, JM, CM, AV, AO, VO c) Determine the probability that they select Vanilla. The probability is \( \square \). (Simplify your answer.) d) Determine the probability that they select Vanilla and Chocolate. The probability is (Simplify your answer.) e) Determine the probability that they select a paint for the trim other than Vanilla. -.

To tackle the Flotterons' paint selection adventure, let’s embark on a colorful journey of paint choice! First, we have three options for the walls (Java, Chocolate, Mahogany) and three options for the trim (Alabaster, Vanilla, Oyster). Using the fundamental counting principle, the sample space is created by multiplying the number of choices for walls with the number of choices for trim. That gives us 3 (for the walls) multiplied by 3 (for the trim), leading to a total of 9 distinct combinations. Now, speaking of creativity, did you know that color choices can evoke different feelings? For instance, warm colors like Java and Chocolate may create a cozy, inviting vibe, while cooler shades like Vanilla and Oyster can create an airy and spacious atmosphere. Choosing colors is almost an art form! For the practical side of things, it’s important to remember to sample the paint colors in your living room’s lighting before making a final decision! Colors can look completely different in natural versus artificial light, and even at different times of the day, so grab those swatches and experiment a little before committing.