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 A crazy passenger (Posted on 2002-04-18)
A line of 100 airline passengers is waiting to board the plain. They each hold a ticket to one of the 100 seats on that flight. (For convenience, let's say that the Nth passenger in line has a ticket for the seat number N.)

Unfortunately, the first person in line is crazy, and will ignore 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 find a free seat to sit in, at random.

What is the probability that the last (100th) person to board the plane will sit in their proper seat (#100)?

 See The Solution Submitted by levik Rating: 4.5000 (16 votes)

 Subject Author Date simpler solution Steven Lord 2018-10-20 20:21:36 Solution Math Man 2018-10-20 14:36:32 Thanks Joan Smith 2012-04-14 06:52:52 answer this topic CarolinaFloyd35 2011-12-25 00:36:30 some thoughts on the problem K Sengupta 2007-04-29 01:01:52 And Another owl 2005-08-18 02:33:43 Solution owl 2005-08-17 19:14:32 Other probabilities Charley 2005-05-26 23:01:21 re: Simpler solution Gamer 2004-08-16 22:34:46 calm down read my answer omar 2004-02-21 15:43:24 Simpler solution Richard Briscoe 2003-09-03 08:37:46 re(3): re Solution Cheradenine 2002-06-25 01:05:30 re(2): re Solution Cheradenine 2002-06-25 01:03:44 solution is wrong quddous behrouzi 2002-06-21 09:59:32 re: re Solution levik 2002-06-19 10:43:24 re Solution Cheradenine 2002-06-13 03:45:35

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