1. A TV provider offers subscribers some channel packages: news, movies, and a combination package with both. Let N denote the event that a subscriber purchases a news package, and let M denote the event that a subscriber purchases the movies package. Based on the TV provider's history of selling packages, we have the following probabilities: P(N) = 0.5, P(M) = 0.3. Should there be another event in the hypothesis space? If so, what is its probability and why did you choose that value?