A Dinner Club goes out to eat once a week. It visits three kinds of restaurants, Asian, Mediterranean, and Mexican, but they never visit the same type of restaurant two weeks in a row. If they go to...

Extracted text: A Dinner Club goes out to eat once a week. It visits three kinds of restaurants, Asian, Mediterranean, and Mexican, but they never visit the same type of restaurant two weeks in a row. If they go to an Asian restaurant one week then they are equally likely to go to a Mediterranean as a Mexican the next week. If they go to a Mediterranean restaurant one week then they are two times as likely to to go to an Asian as a Mexican the next week. If they go to a Mexican restaurant one week then they are three times as likely to go to an Asian as a Mediterranean the next week. If we think of this as a Markov Chain in which state 1 is Asian, state 2 is Mediterranean, and state 3 is Mexican, then what is the transition matrix? 0 % %4 (A) (B) (C) 2 0 %% (D) 2 1 1 % %¾ (G) (E) (F) 1 % (H) % 0 %3 O A G H B.