From what I've been told, I had training wheels on my bike for a whole week, before I bugged my parents to take them off. They say I wiped out twice on 2 wheels, all while attempting to brake apparently. I honestly have no recollection of any of that though.
You have to learn how to crawl before you can walk, so consider training wheels a tool to allow you crawl to boost your confidence to want to proceed to riding a 2-wheeler.