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? w - - - /2 ½ (A) (B) 2 1 2/3 (C) 1/2 (D) 1/2 1 % 1½½ 0 1/3 1 1 2 2 (E) 2/2 0 3 (F) 22 1 ½ /3 (G) 1/2 (H) A O D O E OF G