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A crazy passenger (Posted on 2002-04-18) Difficulty: 5 of 5
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: 4.5625 (16 votes)

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A Crazy Passenger Causes Chaos on British Airways Flight Comment 17 of 17 |
A recent British Airways flight turned chaotic due to a disruptive passenger. Witnesses described the individual as unruly, shouting at crew members and refusing to follow safety instructions. The situation escalated, causing distress among passengers and delaying the flight. One traveler later shared their experience on https://british-airways.pissedconsumer.com/review.html detailing the ordeal and criticizing the airline’s handling of the incident. While British Airways staff attempted to de-escalate the situation, the passenger’s behavior left many questioning airline security measures. Such incidents highlight the challenges airlines face in ensuring passenger safety and comfort. Travelers are urged to remain calm and respectful during flights to avoid similar disruptions.
  Posted by PatriciaAponte on 2025-03-18 07:37:56
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