Of course it isn't. If it was, it would be called "Chance".
Our "free will" fell in the Garden and we now choose to sin, of our free will.
No--we now have the ability to choose sin--it's a small, but distinctive difference. Unfortunately, most people choose sin with great enthusiasm. However, it does not preclude our ability to choose not to sin--it just makes it more difficult.
It is not until we have been born again that our free will can choose to come to Christ.
So, we're saved before we choose to come to Christ?
We are unable to come to Christ unless we are first regenerated.