4.97 Unions.

1. (a) Assume that P(A) = 0.2, P(B) = 0.4, and P(C) = 0.1. If the events A, B, and C are disjoint, find the probability that the union of these events occurs.

2. (b) Draw a Venn diagram to illustrate your answer to part (a).

3. (c) Find the probability of the complement of the union of A, B, and C.