Source:Peter Winkler “Mathematical Puzzles. A Connoisseur’s Collection”,
published by A.K. Peters, Ltd. in 2004.
Problem:
100 people board an airplane with 100 seats. Each person has a seat assigned. For
Some reason, the 1st person who gets in takes her seat at random. Then the 2nd
passenger takes her seat if it is not occupied (by the 1st), and picks a seat at random
if her seat is occupied. Then the 3rd passenger takes her seat if it is not occupied
(by the 1st or 2nd), and picks a seat at random if her seat is occupied. And so on.
What is the probability that the last person will sit in her seat?
published by A.K. Peters, Ltd. in 2004.
Problem:
100 people board an airplane with 100 seats. Each person has a seat assigned. For
Some reason, the 1st person who gets in takes her seat at random. Then the 2nd
passenger takes her seat if it is not occupied (by the 1st), and picks a seat at random
if her seat is occupied. Then the 3rd passenger takes her seat if it is not occupied
(by the 1st or 2nd), and picks a seat at random if her seat is occupied. And so on.
What is the probability that the last person will sit in her seat?
1/100+1/99+......................................+1/2
ReplyDeletewhat do you say?
5.16 I guess.
ReplyDelete..I didn't knew the sum of HP doesn't exists.