1. (9 points) Three events are shown on the Venn diagram. Reproduce the figure and shade the region that corresponds to each of the following events. (a) (B ∪ C)’ (b) (A ∩ B) ∪ C (c) (A ∩ B) ∪ (A ∩ B’)
2. ( 6 points) A Web ad can be designed from four different colors, three font types, five font sizes, three images, and five text phrases. A specific design is randomly generated by the Web server when you visit the site. Let A denote the event that the design color is red, and let B denote the event that the font size is not the smallest one. Use the addition rules to calculate the following probabilities. Show your work. (a) P(A ∪ B) (b) P (A ∪ B’)