I want to really drive home the point that even if what you desperately need is to draw a bunch of cards, you should not necessarily do it. If you can puzzle or confuse the runner a little bit, you have a chance to come through ok.
Let's say that the Corp's opening hand is 1 Ice and 4 Agendas.
I'm a Runner. I see the Corp draw three cards, play one Ice on HQ, and discard 2 to Archives. I think it's the discards that give things away, I KNOW at this point that they are nervous, that they are in big trouble. My reaction is to go all-out to take advantage. On my first turn, I will run HQ at least once, I will certainly run R&D, and I might run Archives too. Next turn I'll continue the aggression. This is a bad start for the Corp, could be a 2-3 turn win for the Runner.
How about the Corp draws two cards, plays one Ice on a remote server, and installs one card inside that server. I'll definitely run HQ. If I pull an agenda, I smell blood, and I go back to HQ. Game might end on the first turn, this is definitely bad for the Corp.
Let's say I see the Corp draw two cards, install one Ice on HQ, and install one card into a remote server, unprotected. I guess that the remote server is probably a Pad Campaign or an upgrade. I should definitely run R&D. I should run HQ, but some Runners won't. Maybe I run HQ and score an agenda. But unless the Corp had really bad luck, and the Ice was a Wall of Thorns or Archer or something else they can't rez, the Ice probably hurt me or stopped me, and I'm not going to run HQ again. At this point, I've already spent a couple of actions, maybe I took some damage from running HQ. Maybe I'll run the unprotected remote server, but maybe I'll just leave it alone (I'm guessing it's Adonis or Pad Campaign, and the Corp just spent all their credits rezzing the Ice, so they aren't going to profit yet, maybe it can wait for later).
In the last case, nothing's guaranteed, but at least there are scenarios where the Runner doesn't realize just how desperate your situation is, where they come away from the first turn happy to score an agenda and start focusing on building up. Sure, there are also scenarios where they figure it out (such as, they run the unprotected data fort), but at least you have some possibilities of surviving the early game; in the other starts that I described, you have no chance against a good runner.