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A Solution Manual for: A First Course In Probability: Seventh Edition by Sheldon M. Ross.
John L. Weatherwax? September 4, 2007
Introduction
Acknowledgements
Special thanks to Vincent Frost and Andrew Jones for helping ?nd and correct various typos in these solutions.
Miscellaneous Problems
The Crazy Passenger Problem
The following is known as the ¡°crazy passenger problem¡± and is stated as follows. A line of 100 airline passengers is waiting to board the plane. They each hold a ticket to one of the 100 seats on that ?ight. (For convenience, let¡¯s say that the kth passenger in line has a ticket for the seat number k.) Unfortunately, the ?rst person in line is crazy, and will ign¡¦(»ý·«)
ore the seat number on their ticket, picking a random seat to occupy. All the other passengers are quite normal, and will go to their proper seat unless it is already occupied. If it is occupied, they will then ?nd a free seat to sit in, at random. What is the probability that the last (100th) pers
