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Knot or Not? (Posted on 2005-08-04) Difficulty: 1 of 5
I was walking along the road one day when I spied a cord of some sort lying in my path. From my vantage point, as I was approaching the cord, I could not tell if it was knotted or not.

What is the probability that the cord was knotted?

See The Solution Submitted by Erik O.    
Rating: 2.3333 (3 votes)

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Solution Puzzle Solution Comment 17 of 17 |
(In reply to Answer by K Sengupta)

The table below lists the eight possible scenerios and whether or not the cord is knotted:
   | 1   2   3 | Knot / Not
---+-----------+------------
 1 | O   O   O |       N
 2 | O   O   U |       N
 3 | O   U   O |   K
 4 | O   U   U |       N
 5 | U   O   O |       N
 6 | U   O   U |   K
 7 | U   U   O |       N
 8 | U   U   U |       N
As can be seen, there are eight possible ways the cord could be lying and in only two of the eight is the cord knotted. Therefore, the probability that the cord is a knot is 2/8 or 25%.

  Posted by K Sengupta on 2023-12-20 02:09:18
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