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Grade 12th passIIT JEE Entrance Exam

One hundred people line up to board an airplane. Each has a boarding pass with assigned seat. However, the first person to board has lost his boarding pass and takes a random seat. After that, each person takes the assigned seat if it is unoccupied, and one of unoccupied seats at random otherwise. What is the probability that the last person to board gets to sit in his assigned seat?

dinesh kumar reddy

7 Years agoGrade 12th pass

1 Answer

Saurabh Koranglekar

Approved Tutor Answer7 Years ago

Dear student

Going directly for 100^thpassenger

Either the passenger will get the assigned seat orthe passenger will have to make a random choice

therefore probability is 0.5

You can try from 2 seats then 3 seats and go on till 100 you will be able to see the trend

Regards

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