Popa — totally wrong.
ALWAYS bring a small purse, large enough to carry the cellphone (turned off, please), keys, small comb or brush,lipstick, tissues, and either a credit card or at least $20.
Never assume anything. I went out with someone 35 years ago who met me after work and sent me home by LIRR. I had no idea he had no car, and I certainly had no inkling I was paying for and taking a train home late at night. I needed money for a cab from the train station also, because I was not going to disturb my dad late at night to come get me. Fortunately, I had $50 on me, but what if I had not taken money along?
When I go out with my husband, I like to carry a small purse with a long enough strap so that I can put the strap over my head on one side, with the purse dangling at the opposite side. This frees my hands when necessary, and it is in no way intrusive. It is not a bad idea to always carry ID, and even a health insurance card.