Yep. A bike is self stabilizing due to the design of the dropout on the fork. If you lean left it automatically turns left which will push you upright again. I

Yep. A bike is self stabilizing due to the design of the dropout on the fork. If you lean left it automatically turns left which will push you upright again. It is hard to not stay balanced on a bike. Unless you are on uneven or slippery surface, or do other stunts, the only way you can really fall is if you are moving too slow or you are deliberately forcing your handlebars to turn very hard.