A contractor is planning to bid for a job of filling potholes on a given stretch of a high way. Before approaching for the bid, he decided to have an idea about the road from government agencies. Three departments public works (PW), transport (T) and traffic (Tf), as usual reported, three different average number of potholes in a one KM stretch of the high way. The constant rate of number of potholes per one KM stretch of the high way are 30, 35 and 40 respectively from PW, T and Tf. The contractor believes information from Transport department is more reliable than the other two. The chance that PW will be considered is 1/4, T will be considered is 1/2 and Tf will be considered is 1/4, by the contractor for drawing conclusion. What is the probability of finding exactly three potholes in a randomly selected 100 meter stretch?