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1. A certain sports car comes equipped with either an automatic or a manual transmission, and the car is available in one of four colors. Relevant probabilities for various combinations of transmission type and color are given in the accompanying table. Color Transmission Type White Blue Black Red A 13 .10 .12 ? M 03 .18 15 18 Let A = {automatic transmission} , B = {Black} , C = {white}, R = {Red} , and M = { manual transmission}. a. Calculate the probability of having an automatic transmission or a red car. (10 pts) b. If the selected car has a manual transmission, what is the probability that the color of the car is black? (10 pts)