200 students are waiting to enter the auditorium where Delhi university is conducting its convocation.Each student is assigned a seat number(from 1 to 200 ) and has been requested to seat in their resp. seat 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 believe in breaking the rules.He will ignore the instructions and randomly occupy a seat.All the other students are quite obedient,and will go to their proper seat unless it is already occupied.If it is occupied,then they will find a free seat to sit in,at random.What is the probability that the last( 200th) student to enter the auditorium will will sit in his/her proper seat( #200)
a.1/200
b.1/100
c.1/10
d.1/2
Explain your ans please.

• each place has two chances i.e he may sit in right place or not so total number of ways is 2pow(200) but the event is last person sit in his proper sit so it has only one chance. therefore total number of events is 2 pow(199) so the probability is 1/2
• 9 years agoHelpfull: Yes(8) No(2)
• ANSWER==> d.1/2
  because there is one seat(#200) and the 200th student we have to consider. so there is two possible events. either he seat on this particular #200 no seat or seat in random. so the probability is = 1/2
• 9 years agoHelpfull: Yes(4) No(0)
• 1/2. As the only probability is to sit or not to sit in his chair. So it is 1/2.
• 9 years agoHelpfull: Yes(1) No(0)