Please need correct ans and Urgent

3. In this question, we want to practice probabilistic reasoning in the Wumpus world shown in Fig. 3. For the Wumpus world, we assume that an agent has explored the locations: [1,1],[1,2] and [2,1]. We also assume that the agent observed a breeze at [1,2] and [2,1]. The breeze is felt adjacent to the squares with pits. Each square can independently have a pit with 0.8 probability (therefore no pit with probability 0.2 ). We want to decide the query: which location is better between [1,3] and [2,2] ? In order to solve the query, we define two random variables pU and bU:pW is true if and only if the location [i,j] contains a pit, bi, is true if and only if [i,j] is breezy. Consider p1,1,,p,4 and b2,1,b1,2,b2,1 only. Further, we define two more randomyariables: known =p1,1p1,2p2,1 and b=b1,1b1,2 b2,1. Then the query can be expressed by P(px,3/ known, b). If we group 'unknown' pits into 'frontier (or fringe)' and 'other' like the Fig.4, we can express P(pL,3) known, b) as P(p1,3) fringe P(b known, p1,u fringe)P(fringe) as shown in the following Fig 5 . (1) How can we proceed to the line 3 from the line 2 ? (Please answer briefly by considering the relation between 'unknown' and 'fringe' and 'other') (3pts) (2) How can we proceed to the line 5 from the line 4 ? (3pts) (3) How can we proceed to the line 8 from the line 7 ? (3pts)