1. You know the following about events A, B, and C: P (A) = 0.2, P (B) = 0.6, P (C) = 0.4, A and B are disjoint, A and C are disjoint, P (B and C) = 0.2. (a) (2 points) Calculate P (A or B). Show your work. (b) (2 points) Calculate P (C|B). Show your work. (c) (2 points) Calculate P (B or C). Show your work. (d) (2 points) Are events B and C independent? Why or why not? (e) (2 points) Are events A and C independent? Why or why not?