Response to the following problem:
In a certain city three car brands A, B, C have 20%, 30% and 50% of the market share, respectively. The probability that a car needs major repair during its first year of purchase for the three brands is 5%, 10%, and 15%, respectively.
1. What is the probability that a car in this city needs major repair during its first year of purchase?
2. If a car in this city needs major repair during its first year of purchase, what is the probability that it is made by manufacturer A?