Induction question

Who has had successful inductions without a c section and who has had inductions with a c section? I’m curious if my ob/gyn pushes for an induction if I should avoid it as ideally I want to try to have a vaginal birth. I get the impression that an induction significantly increases the chances of a c section but I could be wrong. I’m having my baby at the NYU Tisch so any feedback on that hospital is also helpful! Many thanks