In January 2017, 52% of U.S. senators were Republicans and the rest were Democrats or Independents.

Twenty-one percent of the senators were females, and 47% of the senators were male Republicans. Suppose we select one of these senators at random. Define events R: is a Republican and M: is male.

a. Find P(R ∪ M). Interpret this value in context.

b. Consider the event that the randomly selected senator is a female Democrat or Independent. Write this event in symbolic form and find its probability.