I think this is a true case where ignorance would be bliss.
On one hand, if it was a preventable death, then yes, so it could be prevented. But if not, then no way. Otherwise I would be nothing but a bundle of nerves and horror as it approached as opposed to always thinking "well, at least 10 more years, right." I think most of us would assume we would die old, but what if you found out it's only three more years?
On the other, if knowing doesn't bother you, you could spend all those years in between feeling pretty dang immortal and do just about whatever you wanted. Go bungee jumping! Go deep sea diving! Climb Mt. Everest! Drive a race car! 'Cause it's not gonna kill you....but I guess it could leave you paralyzed instead.