'O, I die, Horatio;
The potent poison quite o'er-crows my spirit:
I cannot live to hear the news from England;
But I do prophesy the election lights
On Fortinbras: he has my dying voice;
So tell him, with the occurrents, more and less,
Which have solicited. The rest is silence. '
He is lethally scratched by Laertes' poisoned sword, not run through. In addition, when his mate Horation tries to die with him by finishing off the cup of poison, Hamlet grabs it and drinks it himself.