2. AdvanceAumParrs offers numerous parts and accessories for cars. Consider the following events. A = A customer purchases a manual. B = A customer purchases trim accessories. C= A customer purchases a car care product. Suppose the following probabilities are known. PtA)=.40 P{B) = .50 P(C)=.40 PM n B) = .20 P(A n C)= .10 P(B n C)= .25 All 3 events occurring has a 10% chance. a. Sketch a Venn diagram illustrating the relationship of these variables and label each region with the corresponding probability. b. Find the probability that none of the events occur. 0. Find: P(A|C) ['(BICA I": C): PM n B n CM)