I'm studying statistics and probability using an introductory textbook and it had this question:
108.The events “Other” and “Up for reelection in November 2016” are ________ a. mutually exclusive. b. independent. c. both mutually exclusive and independent. d. neither mutually exclusive nor independent.
The answer key says that the correct answer is letter a, but shouldn't it be letter c as the P("Other" $\cap$ "Up for reelection in November 2016") = 0 meaning that the two events are mutually exclusive and that the P("Other"|"Up for reelection in November 2016") = P(Other), therefore also being independent?