1. In the fictional story "The Legend of Sleepy Hollow", the Headless Horseman chases Ichabod Crane through the New England countryside. A video game based on this legend has Crane choosing his route randomly, with a probability of 0.15 that he stays on the road and 0.85 that he cuts through the forest. If he stays on the road, there is a 92% chance of the Horseman catching Ichabod. If he cuts through the forest, there is only a 63% chance of being caught. A What is the probability that Ichabod stays on the road and the Horseman does not catch him? B What is the probability that the Horseman catches Ichabod? C Find the probability that the next game has Mr. Crane cut through the forest, given that the Horseman will indeed catch him.