It'll depend on the noose... if it's made of cheesewire then you'v got no chance.
And anyway, since when have people who have been in prison awaiting a death sentence ever been really healthy?
I dont think even then, was watching mythbusters and there was an episode testing if a cable when snapped could cut flesh. I don't remember the strengths they tested but the results were the same, it just left a huge mark.
Well there's a slight difference in getting hit with a cable and having a thin but strong wire tighten around your neck. I'm pretty sure if a thin, strong wire were used to hang someone, they would probably get decapitated, or at least they would be cut down to the bone and then hang by the bone.
"Stephen Wolfram is the creator of Mathematica and is widely regarded as the most important innovator in scientific and technical computing today." - Stephen Wolfram