Comments on: HO. Crazies on the Plane
http://mathfactor.uark.edu/2012/03/ho-crazies-on-the-plane/
The Math Factor Podcast SiteFri, 08 Aug 2014 12:52:06 +0000hourly1https://wordpress.org/?v=4.9.22By: michael thwaites
http://mathfactor.uark.edu/2012/03/ho-crazies-on-the-plane/comment-page-1/#comment-1003
Thu, 22 Mar 2012 17:40:26 +0000http://mathfactor.uark.edu/?p=1424#comment-1003I discovered an interesting cool ‘fact’ about this. The last person on the plan always sits in either my seat or their own.
In general, if my assigned seat was no 1 and the nth person was supposed to sit in seat n, then the last person always sit in seat 1 or their own seat. And in general, using this ordering of the seats, everyone either sits in seat 1 or a seat number greater or equal to their assigned seat!

]]>By: Shawn
http://mathfactor.uark.edu/2012/03/ho-crazies-on-the-plane/comment-page-1/#comment-1000
Mon, 19 Mar 2012 06:05:18 +0000http://mathfactor.uark.edu/?p=1424#comment-1000It seems to me that [spoiler] if we sort of think about this in a pseudo-backward-induction type way, we know that seats 2-99 are going to be filled by the time the last passenger arrives regardless of which seat Passenger 1 sits in. So the last passenger is either going to sit in his seat or the first passenger’s seat. Since each displaced passenger moves randomly, either seat is equally likely to have been taken. So the last passenger has 1/2 probability that he will sit in Seat 1, and 1/2 probability that he will sit in Seat 100 (the correct seat). [/spoiler]
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