Tue
Jan
12
Tuesday Teaser #10
You’re taking a coach trip up to Scotland and are standing in line waiting to board the coach as it prepares to depart from London. There are 50 seats on the coach and each passenger standing in line is assigned one of these seats (for simplicity, suppose they are lined up in order with the first person in line being assigned to seat number 1, etc). Now the first passenger in line is horribly drunk and randomly chooses a seat. The subsequent passengers are all sober and so they’ll sit in their allocated seat if it’s free. If not, they’ll choose one at random to sit in. If you’re at the very back of the line, what are the chances of you sitting in your allotted seat (number 50) when you eventually get to board?
