Die....
Okay. Not really original. So considering I survived the nuclear apocalypse, then I am certain I probably wouldn't die. And I am assuming I was sleeping for... 200 years? And I haven't died? Hey, where's my wife and kid? Looking into the future, the possible reality is [rededicated by Bethesda Game Studios].
Oh... hahaha, you want me to be optimistic about being, for some reason, forced outside of my vault? To be honest, I would go right back in, but obviously in this scenario, from cognitive agreement with my own experiences and what would be possible in this universe, and according to 'ol lore: a) my water purification chip is broken or something and I have to go find another, b) my Dad ran away from Mr. Mean Overseer, and, as a dumb teenager, I go looking for him, or c) looking into the future, [rededicated by Bethesda Game Studios].
So, from these situations, I would probably di-... I would probably survive! Not really, but possibly. Considering my options, I would probably need water. Oh, everything is irradiated, you say? Oh, my water chip is broken (or something)? Naysayer, I have a simplified solution: di-..., er, look for other signs of civilization! Considering most vaults were /totally/ not social experiments... and they were near population centers (obviously the entire purpose of the vaults, you see!), they would probably give me food and shelter for these convenient amount of bottle caps I have kept with me my entire life, or they'll kill me.
Hopefully the former!
So, to answer your question, I totally wouldn't die, I would look for water, and, like I said, not die. Later on, I would gather a large amount of military personnel and their families, and bash into a secret government vault.
Oh, you tell me this already happened? And they made a metal band called "Brotherhood of Steel"?
I'm not surprised.
Okay, scratch that, I'll probably join these song writers and they'll certainly have food! Oh, they aren't a metal band? They are iron, er, steel men?
Okay. I see, so obviously /you/ can now see that I am probably going to die. What is there for me to do?
Sounds like I'm only left with one option: get a German shepherd dog, make my trusty floating metal ball sidekick make me some food (because I am hungry!), put on my 111 suit (not in that particular order) and [rededicated by Bethesda Studios].