chapter 1

Chapter 2: Probability9.a. In the diagram on the left, the shaded area is (A∪B)′. On the right, the shaded area is A′,the striped area is B′, and the intersection A′ ∩ B′ occurs where there is BOTH shadingand stripes. These two diagrams display the same area.b. In the diagram below, the shaded area represents (A∩B)′. Using the diagram on the rightabove, the union of A′ and B′ is represented by the areas that have either shading orstripes or both. Both of the diagrams display the same area.10.a. A = {Chev, Pont, Buick}, B = {Ford, Merc}, C = {Plym, Chrys} are three mutuallyexclusive events.b. No, let E = {Chev, Pont}, F = {Pont, Buick}, G = {Buick, Ford}. These events are notmutually exclusive (e.g. E and F have an outcome in common), yet there is no outcomecommon to all three events.53