200 students are waiting to enter the auditorium where Belhi University is conducting its annual convocation. Each student has been assigned a seat number (from 1 to 200) and has been requested to seat in their respective seats only. Each student is allowed to enter the auditorium in the order of their seat numbers. Amitabh the rebel, who holds the token for seat #1 always believes in breaking the rules. He will ignore the instructions and randomly occupy a seat. All of the other students are quite obedient, 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 (200th) student to enter the auditorium will seat in his proper seat (#200)?
Option
(a)1/200
(b)1/100
(c)1/10
(d) 1/2
Answers
Answered by
0
Answer:
I think the answer is A.
Step-by-step explanation:
Since there are 200 students and 200 seats total, each student has a 1/200 chance of sitting in their own seat.
Similar questions