Probability

(b) 7 points This year for your hiking vacation you are thinking of going to either Scotland or Finland. There is a 60% chance of you going to Scotland because flights are slightly cheaper there and only a 40% chance you go to Finland. If you have an injury while hiking, you will have to come home. In Scotland, the terrain is not so bad, so on any given day, the chance that you get injured is only 20%. In Finland it is 40%. The chance of injury from each day to the next is independent. . What is the probability that you come home after the third day? . Suppose you were injured on the first day, What is the probability that you were in Finland