Well, well, well, academia has actually produced something useful.
Research at Birmingham's Aston University not only supports the theory that the likelihood of a headphone cable getting into a tangle increases exponentially with its length; it suggests a solution. Tie the two ends together and the chance of its knotting is hugely reduced.
Formal proof will depend on some difficult mathematics. The odd thing is my wife thought everyone already knew the answer and has been tying the ends of all manner of cords, chains and wires for years.
Now my wife comes from near Wanganui and it is just possible that the complex mathematics required to prove the Frisch-Wassermann-Delbruck conjecture, for that is its formal name, has been secretly cracked by the residents of the area. On the other hand, it may be that intuition enables them to jump to the result without struggling through the underlying theory.
Quite how people jump to answers without going through the logical steps is one of life's deeper mysteries. It could be that they make lucky guesses but, if that is so, some people are blessed with luck to an unlikely extent. After all, if the chance of guessing right once is evens, then the chance of doing it twice running is one in four; three times running, one in eight; four times, one in 16 ... But some people (especially wives) do it over and over again.