One hundred people board a 100-seat airplane. The first one has lost his boarding pass, so he sits in a random seat. Each subsequent passenger sits in his or her own seat if it’s available or takes a random unoccupied seat if it’s not. What’s the probability that the 100th passenger finds her seat occupied?
A. 0.2
B. 1
C. 0.034
D. 0.5
E. 0.1
