Answer:
In 4 years, the probability of buying the same model is:
- If it starts with M1, the probability is P=0.62.
- If it starts with M2, the probability is P=0.17.
- If it starts with M3, the probability is P=0.46.
Explanation:
The transition matrix, according to the data given by the question, can be written as:

This is the probability of the transition from t=0 to t=2 years.
To calculate the probability from t=0 to t=4 years, we can multiply the matrix by itself:


Then, in 4 years, the probability of buying the same model is:
- If it starts with M1, the probability is P=0.6175.
- If it starts with M2, the probability is P=0.1675.
- If it starts with M3, the probability is P=0.4600.