A man eats one of three soups-beef, chicken, and vegetable-each day. He never eats the same soup two days in a row. If he eats beef soup on a certain day, he is equally likely to eat each of the others the next day; if he does not eat beef soup, he is twice as likely to eat it the next day as the alternative. a. If he has beef soup one day, what is the probability that he has it again two days later? b. What are the long-run probabilities that he eats each of the three soups?