Suppose that there are two types of drivers: good drivers and bad drivers. let g be the event that a certain man is a good driver, a be the event that he gets into a car accident next year, and b be the event that he gets into a car accident the following year. let p (g) = g and p (a|g) = p (b|g) = p1, p (a|gc) = p (b|gc) = p2, with p1 < p2. suppose that given the information of whether or not the man is a good driver, a and b are independent (for simplicity and to avoid being morbid, assume that the accidents being considered are minor and wouldn’t make the man unable to drive).
(a) explain intuitively whether or not a and b are independent.(b) find p(g|a^c)(c) find p(b|a^c)