In Exercises 926, use the counting principle to determine the answer to part (a). Assume that each event is equally likely to occur.Paint Choices The Flotterons plan to purchase paint for the walls and paint for the trim in their living room. They will select one color for the walls and one color for the trim from the following colors. a) Determine the number of points in the sample space. b) Construct a tree diagram and list the sample space. Determine the probability that they select c) Java. d) Java and Oyster.e) paint other than Java.

Q:In Exercises 926, use the counting principle to determine the answer to part (a). Assumethat each event is equally likely to occur.Paint Choices : The Flotterons plan to purchase paint for the walls and paint for the trimin their living room. They will select one color for the walls and one color for the trim fromthe following colors. a) Determine the number of points in the sample space. b) Construct atree diagram and list the sample space. Determine the probability that they select c) Java.d) Java and Oyster.e) paint other than Java. Step By Step SolutionStep 1 of 5:a) Determine the number of points in the sample space.In Experiment 1, Flotterons will choose the paint for wall from three choices given, thus thereare 3 outcomes. In experiment 2, the Flotterons will select paint for trim from three choicesgiven, i.e 3 outcomes,From using counting principle,There are 9 total distinct outcomes. Therefore the number of points in the sample space is9.