Karl works in a big city and he owns two cars, one small and one large. 80% of the time he drives the small
car to work, and the rest of the time he drives the large car. If he takes the small car, he usually has little
trouble parking, and so is at work on time with probability 0.88. If he takes the large car, he is at work on
time with probability 0.33.
Rounding your answer to four decimal places, find the probability that on a randomly selected morning
Karl is on time
Karl drove the small car given he was on time