Jump to content
BrainDen.com - Brain Teasers
  • 1

Random passengers


bonanova
 Share

Question

Al and Bert are among 100 passengers assigned to one hundred seats on an airplane. Al was first to board, and Bert was last. Strangely, the first 99 passengers ignored their boarding passes and took random unoccupied seats. Bert liked the seat he was assigned and is not happy with the situation. If he's lucky, his seat is unoccupied and there's no problem. Otherwise, he insists the passenger erroneously occupying it move to his own assigned seat. The displaced passenger must then move, possibly displacing another person. This process continues until all passengers are seated.

What is the probability that Al must move?

Link to comment
Share on other sites

14 answers to this question

Recommended Posts

  • 0

A start:

  Reveal hidden contents

Link to comment
Share on other sites

  • 0
  Reveal hidden contents

 

Link to comment
Share on other sites

  • 1

Ah.

  Reveal hidden contents

Link to comment
Share on other sites

  • 0

Interesting one..

  Reveal hidden contents

 

Link to comment
Share on other sites

  • 0

Kay_Kay, I don’t follow the argument.

  Reveal hidden contents

Link to comment
Share on other sites

  • 0
  On 4/2/2018 at 7:32 PM, CaptainEd said:

Kay_Kay, I don’t follow the argument.

 

  Reveal hidden contents

 

Expand  

My bad .. I did not consider all scenarios. Let me work on this some more .. :)

Link to comment
Share on other sites

  • 0
  On 4/2/2018 at 6:17 AM, Molly Mae said:

Ah.

  Reveal hidden contents

 

Expand  

These cases are the ones I calculated as well, and led me to the right conclusion. (I had to solve it as it's not mine originally and I did not receive the solution.) It took a little insight to get me thinking along productive lines. See the spoilers in my April 1 post - btw not an April Fools post - to get there.

Link to comment
Share on other sites

  • 1
  On 4/1/2018 at 9:53 AM, bonanova said:

One approach, among several, is to

  Reveal hidden contents

and

  Reveal hidden contents

 

Expand  

  Reveal hidden contents

Link to comment
Share on other sites

  • 2
  Reveal hidden contents

 

Link to comment
Share on other sites

  • 0
  On 4/15/2018 at 4:03 PM, plasmid said:
  Reveal hidden contents

 

Expand  

Nice.

One thing I liked about this puzzle is that it's open to clear thinking. Even tho at first it seems too complex.

Link to comment
Share on other sites

  • 0

This was my take.

  Reveal hidden contents

 

Link to comment
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Guest
Answer this question...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

 Share

  • Recently Browsing   0 members

    • No registered users viewing this page.
×
×
  • Create New...