I have been robbed, so I'd never assume that!
It's definitely more precarious for a woman, and predators tend to believe they are easy prey... so unfortunately you need to deal with that somehow.
I will say that I spent some time with an attractive 35 year old woman, who seemed to take zero precautions. She enjoyed things like strolling through the worst parts of large cities, hitch-hiking to Alaska and all over, sleeping under a bush if that was all that was available, etc. The most fearless person I ever met. I believed her when she said she never had an encounter that ended badly. She knew that someday she might, but she simply wasn't worried. If anything happened then she'd deal with it. This is something I understood very well, but I'd never met anyone who lived this way so completely. Oddly, when you allow yourself to be completely vulnerable and surrender to the universe, it makes you invulnerable in a sense... whatever happens will be met openly, no resistance. A lack of fear and an abundance of "presence" has a profound affect on others.