If the ringbearer died

[Arathiriel]

Hobbits were the chosen race...

Indeed they were and I believe that Frodo was specifically chosen out by Eru from among the other Hobbits especially for this task because only he had the strength of spirit and will to do it...

Take a look at the conversation between Frodo and Gandalf below. I've quote from the movie here but I know this same conversation was on the book and I believe its nearly worded the same in both places...

Frodo:
I wish the Ring had never come to me. I wish none of this had happened...

Gandalf:
So do all who live to see such times, but that is not for them to decide. All we have to decide is what to do with the time that is given to us. There are other forces at work in this world, Frodo, besides the will of evil. Bilbo was meant to find the Ring, in which case you were also meant to have it. And that is an encouraging thought...

[ September 24, 2002: Message edited by: Arathiriel ]