My neighborhood has a lot of dogs. In fact, when I walk my dog, Wrigley, only 2% of the time do we not see any other dogs. Gary has three dogs (Salsa, Nacho, and Dublin), and we see only Gary and his dogs about 30% of the time when we are on a walk. Lesley has two dogs (Buster and Oreo), and we see onlyLesley and her dogs 20% of the time when we are on a walk. Gary and Lesley's dogs don't get along; we never see them at the same time. Margo has one dog (Bond), and we see only Margo and Bond 25% of the time when we are on a walk. 10% of the time we see Margo and Lesley.

a. What is the probability that Wrigley and I see both Gary (Salsa, Nacho and Dublin) and Margo (Bond) on a walk?

b. What is the probability we see at least one dog owner on our walk?

c. What is the probability we see only Margo or only Gary?

d. Are the events seeing Gary and seeing Margo independent? (EXPLAIN briefly).

e. Are the events of seeing Lesley and seeing Gary mutually exclusive? (EXPLAIN briefly).