14 Some of the five ports on an island are connected by roads. The connections are shown in the graph alongside. A tourist arrives at port E. Every day (including the first), he selects one of the available roads at random and travels to another port. a Construct a transition matrix for the graph. E B b Find the probability that the tourist travels to port C on the 7th day. c If the tourist continues travelling around the island for a long time, which port will he visit most often? C D