You have N cars that are all traveling the same direction on an infinitely long one-lane highway. Unfortunately, they are all going different speeds, and cannot pass each other. Eventually the cars will clump up in one or more traffic jams. In terms of N, what is the expected number of clumps of cars?
Solution: Posted by me in comments!! Thanx to Asad (EE, IITB Alumnus) and Siddhant Agarwal (EE, IITB 3rd year student) for their participation in discussion in comments!!
Very simple and clear solution posted by wonderwice in comments! Thanks a ton!