Friday Riddle

nudgie

Remember NO googling or searching the internet allowed and good luck!!!!!

RIDDLE: A line of 100 airline passengers is waiting to board a plane. 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 of 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)?

Lori-S

Well
Just off the top of my head I'd say chances are 50/50. Either they will or either they won't end up in their assigned seat! So, 50/50 or 1 in 2 chance.

Nana b

hmmm
I don't know how many crazy people they allow on flights? 100%

PGLGreg

Dunno.
It seems hard, because the 100th person might be prevented from sitting in seat #100 in so many different ways. Any of the other 99 passengers might sit in seat #100 before him, and the 99 probabilities are all different. Good luck.

--Greg

dixiegirl

PGLGreg said:

Dunno.
It seems hard, because the 100th person might be prevented from sitting in seat #100 in so many different ways. Any of the other 99 passengers might sit in seat #100 before him, and the 99 probabilities are all different. Good luck.

--Greg

Hm?
I have no clue. What's the answer?

PGLGreg

dixiegirl said:

Hm?
I have no clue. What's the answer?

Dunno
I have no idea.

--Greg

herdizziness

Going with
100%