just watched the youtube clip of byron ferguson 'splitting the arrow'
I know these shows often do many many takes. They were at least honest enough to show 3 misses, but on the hit Byron states something along the line of 'it only took me 920 shots!'
I don't know if that is an accurate number of if he is just throwing something big out there, but I think it is pretty clear he tried to hit it more than just 3 times.
He is very accurate, but unless the 'split the arrow' is accomplished in a pre-determined set of shots (say, 5 or 10) it is really meaningless. Any archer who can get his arrow to hit within 1 inch of his desired target at 10 yards 99% of the time is going to be able to split an arrow if they shoot enough...simply because the arrow has to land SOMEWHERE.
In this case you have a circle with a surface area of 3.14 inches, and if you say the sweet spot on the arrow to split is is 1/10th of an inch, you basically have a 1 in 31 chance of any hit in that surface area to be an arrow splitter.