Far too often, my players answer would be "See who I can get to help me bury the bodies."When the DM uses your character's failings as an adventure subplot and asks you to role-play on how you would get the PC out of the very trouble they put themselves in. "Well you failed your Constitution check, got drunk, and started a massive brawl in the pub you and your party were in, now what you are going to do?"
Which brings to mind...
MIB said:Edwards : Why the big secret? People are smart. They can handle it.
Kay : A person is smart. People are dumb, panicky dangerous animals and you know it. Fifteen hundred years ago everybody knew the Earth was the center of the universe. Five hundred years ago, everybody knew the Earth was flat, and fifteen minutes ago, you knew that humans were alone on this planet. Imagine what you'll know tomorrow.
My experience says a Party acts as smart as the second least competent member. Everyone leaps to assist the first least competent.
My current groups both tend strongly toward character-driven behavior. Even when it's bad for the rest of the party. They're also prone to stay in character and comment about it being a bad result ahead when they realize their character should do X, but X is bad, and that it's bad would be lost on the character.