# Transcribed Image Text: A Dinner Club goes out to eat once a week. It visits three kinds of restaurants, Asian, Mediterranean,

Excerpt
If we tnk of ts as a Markov Chain in wch state 1 is Asian, state 2 is Mediterranean, and state 3 is Mexican, then what is the transition matrix? (A) 1/4 (B) (C) (D) 1 % % (E) (F) (G) % 1 % (H)

Transcribed Image 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 tnk of ts as
a Markov Chain in wch state 1 is Asian, state 2 is Mediterranean, and state 3 is
Mexican, then what is the transition matrix?
(A)
1/4
(B)
(C)
(D)
1 % %
(E)
(F)
(G)
% 1 %
(H)