One hundred people line up to board an airplane that can accommodate 100 passengers. Each has a boarding pass with assigned seat. However, the first person to board has lost his boarding pass and takes a random seat. After that, each person takes the assigned seat. What is the probability that the last person to board gets his assigned seat unoccupied?
One hundred people line up to board an airplane that can accommodate 100 passengers. Each has a boarding pass with assigned seat. However, the first person to board has lost his boarding pass and takes a random seat. After that, each person takes the assigned seat. What is the probability that the last person to board gets his assigned seat unoccupied?
The correct option is D 0.5
After the first person, neither of the passengers show any preference for the last person's seat nor the seat of the first passenger.
Once all the passengers except the last passenger occupy the seats, the first passenger would be sitting in the seat allotted to him or in that of the last person.
Therefore, the probability that the last person to board gets his assigned seat unoccupied is 12 = 0.5
.
0.5
After the first person, neither of the passengers show any preference for the last person's seat nor the seat of the first passenger.
Once all the passengers except the last passenger occupy the seats, the first passenger would be sitting in the seat allotted to him or in that of the last person.
Therefore, the probability that the last person to board gets his assigned seat unoccupied is 12 = 0.5
.
