Writing Is there a relationship between independence and mutual exclusivity? To decide, find examples of the following, if possible.

(a) Describe two events that are dependent and mutually exclusive.

(b) Describe two events that are independent and mutually exclusive.

(c) Describe two events that are dependent and not mutually exclusive.

(d) Describe two events that are independent and not mutually exclusive. Use your results to write a conclusion about the relationship between independence and mutual exclusivity. Addition Rule for Three Events The Addition Rule for the probability that event A or B or C will occur, P(A or B or C), is given by P(A or B or C) = P(A) + P(B) + P(C) - P(A and B) - P(A and C) - P(B and C) + P(A and B and C). In the Venn diagram shown, P(A or B or C) is represented by the blue areas. A In Exercises 28 and 29, find P(A or B or C) for the given probabilities.