This student never eats the same kind of food for 2 consecutive weeks. If she eats in a Chinese restaurant one week, then she is three times as likely to have Greek as Italian food the next week. If she eats in a Greek restaurant one week, then she is twice as likely to have Chinese as Italian food the next week. If she eats in an Italian restaurant one week, then she is five times as likely to have Chinese as Greek food the next week.

Assume thatstate 1 is Chineseand thatstate 2 is Greek, andstate 3 is Italian.

Find the transition matrix for this Markov process.