Can you please explain this question step by step in details?

Business Math students are used in an experiment, where they are sent into a T-shaped maze once each day. If they turn left to exit the maze, they are given a scoop of mint ice cream, while if they turn right to exit the maze, they are given a scoop of broccoli ice cream and a zap of electricity. It has been observed that the day after they turn left(mint ice cream!), they will turn left again the next day 55% of the time, and that the day after they turn right, they will turn right again the next day 75% of the time.

(a) Set up a 2 x 2 fully-labeled stochastic matrix.

(b) Studies suggest 10% of people are Left-Handed, and 90% Right. If on the first day, they follow their dominant hand, what percent will go right on the fourth day? You may use a calculator, but must show any necessary matrices and calculations used. [Round to 2 decimal places.

(c) Determine the probability of students going each way in the long run. You may use your calculator, but MUST show all the details. Answers must be in fractions. (Use system of linear equations.)