Nope, they're getting the hell out of my area. I don't care what the claim for the injury is, no way I would be wasting food AND medical supplies on these people. The best I would do for them is suggest any nearby location where they might find a place to hole up for themselves.2: You are held up in a pretty secure location but are running low on food and supplies when a small group of survivors come knocking asking for help, one is injured but claims it to be from a car accident down the road. the group consists of a grown man, an old man his daughter and her young son.
There won't be enough supplies for all of you meaning that some of the group will have to risk going out looking in a matter of days instead of a matter of a week or two. Leaving the area less guarded.
Honestly, I would be more likely to be a bandit than to be a random guy wandering around. But this case, again, I would have to leave the guy to his fate. It's not worth potentially getting yourself killed by bandits and then having to support some idiot who got caught in a trap.3: a man is caught in a trap layed by bandits, he needs your help to free his leg but you have no clue when the bandits will show up and you want to be far away when they do and you will have to help him walk
Depending on my stockpile of weaponry, I might give the guy a pistol and wish him good luck. But no, I wouldn't risk my own life and thus the lives of whoever I care about protecting just for this guy. It could be a trap for all I know. Not worth the risk.4: A survivor comes wandering in claiming that some bandits had taken his wife and daughter... you don't know if the man is telling the truth but there's little time if they have them. Do you try to help or leave the man to do it himself with no weapons. you also have some survivors to protect.
That other group is SOL. Seriously, how could anyone be stupid enough to not gather guns when they know it's a zombie apocalypse? My group > others, so those supplies are totally mine. I won't kill any of them if they don't do anything stupid, and I'd give them helpful advice like "hey idiots, get guns."5: you find a box of supplies but a small group of survivors have already claimed it, they have no guns and your group does. both groups need the supplies and there is only enough for one group to make use of it. do you take it? or leave it to the group that might not survive anyway with no weapons.
I'd threaten her with my weaponry, and if she doesn't give up the car then she dies or gets injured. Again, in a zombie apocalypse, my survival > everyone else.6: your car breaks down in a dangerous part of the city, luckily an old woman is passing with a working car, you ask for petrol but she will not part with it, if you want the fuel or car you will have to kill this person..she is old and wont survive longer than a younger healther person anyway right?
Sucks for them, not worth the burden and risk to help them. Millions of other mothers and young children have probably died by this point in the zombie outbreak, why should I take special care of yet another set?7: a young mother and her young child is roaming the empty street, its clear she is distressed and his little knowledge of survival, you are sleeping in a near by building, laying low to avoid detection by any zombies in the area. you could go out and get her but you would give up your secure spot and probably be responsable for both her and the young child from then on which presents all kinds of problems..or you let them pass by knowing deep down that they probably wont survive much longer.
These are all easy answers. As I said before, in an apocalyptic situation there is one simple fact: survival is all important. Anything that would compromise your own chances of survival is a stupid risk to take. Humanity is a useless luxury when you're fighting to survive.