Rithisak Cahnman is the proud owner of a 1955 sports car. On any given day, Rithisak never knows whether the car will start. Ninety percent of the time it will start if it started the previous morning, and 70% of the time it will not start if it did not start the previous morning.

(a) Construct the matrix of transition probabilities. 

(b) What is the probability that it will start tomorrow if it started today? 

(c) What is the probability that it will start tomorrow if it did not start today?