Odds of Hanging On
Your odds of hanging on are also very good, as long as you don't try separating any Siamese twins by your method of "sheer brute strength."
Because your personality has a lot to do with your success with children (some are simply not "kid people"), you will have a better shot of sticking around if you can open up to them, come down to their level, and convince them to feel comfortable confiding in you and, perhaps most importantly, to not badmouth you to their parents.
Be a good and caring doctor, take care of your patients, and they will take care of you. (By not asking their parents to sue you.)