Every morning Jarvis takes his dog for a walk and the probability that he does this before his breakfast is 0.3.
If he goes before his breakfast, the probability that he heads north from his house is 0.1, the probability of
heading west is 0.45, and south is 0.45. If he goes after
breakfast, the probabilities are 0.4, 0.35, and 0.25
respectively. Find the probability that Jarvis heads
south with his dog.