All North American Coral Snakes do not have fangs (per say), like Rattler have. In order for a Coral Snake to inject it's venom, it will grab you, skake it's head (like a dog does), and then releases you. I believe that it's fangs are located toward the back of it's mouth, and must ensure that it has broken the skin really good for it's venom to work.
I have heard that a bits from a Coral Snake can be worse than a bite from a Rattler, but not sure if that is true. Also Coral Snakes are very timid snakes. They will run and hide from you if they can.