Wednesday, March 21, 2007

The last passenger.

Q. On a sold out flight, 100 people line up to board the plane. The first passenger in the line has lost his boarding pass, but was allowed in, regardless. He takes a random seat. Each subsequent passenger takes his or her assigned seat if available, or a random unoccupied seat, otherwise. What is the probability that the last passenger to board the plane finds his seat unoccupied?

Solution

2 comments:

Puneet Gupta said...

Hi Bhupinder, that is a very interesting question that you have on hand! I think weather this last person to board to plane finds his seat occupied or not is a 50/50 chance.

Puneet Gupta said...

oh sorry bhupi...i thought this was a trick question, i did not notice that u already have a solution!