Explanation:
The seating arrangement of the passengers in the given scenario can be determined by considering the different possibilities. Here's an explanation of the seating arrangement:
Scenario 1: The first passenger sits in their assigned seat
If the first passenger sits in their assigned seat, then all subsequent passengers will also sit in their assigned seats. In this case, the seating arrangement will be as per the assigned seats, and the last passenger will find their seat unoccupied.
Scenario 2: The first passenger sits in the last passenger's seat
If the first passenger sits in the last passenger's seat, then the last passenger will have no choice but to sit in a random unoccupied seat. In this case, the seating arrangement will be random, and the last passenger will not find their seat unoccupied.
Scenario 3: The first passenger sits in any other seat
If the first passenger sits in any other seat, then subsequent passengers will follow the same pattern. Each passenger will either sit in their assigned seat if it is unoccupied or choose a random unoccupied seat. In this case, the seating arrangement will depend on the specific choices made by each passenger.
Considering all the possibilities, it can be concluded that there is a 50% probability that the last passenger will find their assigned seat unoccupied .
Please note that this conclusion is based on the information provided in the search results.
