TBH, no one can say what chance you have.
If they know about it then be prepared to be asked about it. Understand why that accident happened, and how it has changed your perspective, thoughts and actions. What did you learn from it? I think with anything like an accident they want to see you have matured and learnt from the event and taken steps to prevent it happening again.
Hope that gives you a start as to one approach you could take.