25 people who work in an ofce are surveyed about the mode of transport they use to get to work. It was found that 10 people use both the train and bus, 7 people use only the train, and 6 people used neither train nor bus to get to work. Let B be the event that a person takes a bus to work, and let T be the event that a person takes a train to work. a) Complete this Karnaugh Diagram using the information above. b) What is the probability that a randomly selected person uses the train? Pr(T) [1 mark] c) What is the probability that a randomly selected person uses either the train or the bus to get to work? Pr(T U B) = [1 mark] d) Complete the following to determine whether or not events B and T are independent: If two events are independent then Pr(B n T) = |:|