When a corn bites, does it let go, or will it hold on?
That depends on why the snake bit you. If it was a defensive or warning bite, it will be over in a split second. You won't even have time to think "I'd better not pull back!"
If the snake bites because it wants to eat you, then it will either bite slowly and thoughtfully (funny in a hatchling, not so amusing in an adult) or it will strike and coil your hand. Usually you have to change something to break that cycle at that moment- put the snake in its feeding bin, put the snake down and wash your hands.
If you have a snake that you know hunger bites, then it's best to get the snake out first thing and put it in its feeding bin, _then_ start thawing mice. Even if I haven't touched mice, or have washed my hands, snakes _know_ if it is a feeding time by the change in activity. So you need to get a hunger biter in its feeding bin before you let everyone know you're going to feed.
Sometimes snakes stay in hunting mode after they have swallowed their mouse and are likely to strike when you go to put them back in their vivs. Generally this is a fast bite and the snake realizes you are not a mouse. I have one or two (out of 48) that sometimes I will use a hook to pick up the front end when moving back after feeding. And no, you shouldn't use a hook with a baby or juvenile snake even if it is biting- you could injure it.
I also have a couple snakes that head butt but have never bitten me. You'll see this often with moms who have just clutched, too.
So that makes it sound like I get bit all the time, but I really don't. Maybe once every few months by an adult, more frequently with hatchlings until they settle down and learn not to fear humans.