If my doctor induces my labor what are the chances I give a vaginal birth?

Good. Good chances. Concentrate in giving birh. Let the OB doctor deliver the baby with the best chance of a sucessful delivery for you and baby (vagina or c/s). Good luck.
Very good. Docs induce labor to help vaginal birth along. If they are inducing labor, there is a very good chance that you will have a vaginal birth. Wishing you'all the best.