You were a hell of a lot more likely to die of dysentery, or break a wagon wheel and starve to death, than you were to die in a gunfight, but gunfights could and did happen. If you were a homesteader then you had all sorts of wild shit to deal with, since you were literally living in the wild. Attacks from natives who didn't like the idea of you just claiming their land and fencing it off, wild animals stealing your livestock that you needed to live. Drought killing your crops that you needed to live. It was fraught with peril on all sides. But you were free as fuck.