Looks like scientists don't think we would survive.
Would the Human Race Survive a Zombie Attack? Scientists Say it's Unlikely : TreeHuggerIn order to give humans a better shot, the study, which was completed by researchers at the University of Ottawa and Carleton University, focused on the classic depiction of zombies: ie, slow moving and stupid, as opposed to modern variants that are fast, cunning, and more dangerous. Unfortunately, the scenario still didn't bode so well for us un-undead folks.
I think with a little lead osmosis treatment for our undead friends, our odds would go up.