2: CLO2, PLO2, C3 a) A group of friends decided to visit hill station (say H) in their vacations. To reach their destination they can follow two routes. The first directly connects H to K, whereas the second passes through G. Sometimes because of the weather conditions (snow falling), travelers cannot travel between B and A. If there is a forecast of snow for the next day, one can assume (on the basis of prior information) P(H) = 0.6, P( K) = 0.7, P(G) = 0.4, P(G|K) = 0.5 and P(H | GnK) = 0.4. Use the concepts of probability to find out the probability: i. That the traveler will be able to reach K from H? (2) ii. That the traveler will be able to drive from H to K by way of G? (2) iii. Which route should be taken in order to maximize his chance to reach K? (