A passenger aircraft has 100 seats and 100 passengers are about to board it.
The first passenger is drunk and has lost his boarding pass. He has no idea which is his seat, so he sits in a random seat.
All the other passengers have got boarding passes and follow the same process. If their seat is unoccupied they seat in their own seat. If their seat is occupied they sit in a random seat.
What is the probability that the 100th and last passenger to board will sit in their own seat?
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Answer at 9.00 on Monday