Chance of getting visitation?

So my ex just plead guilty to domestic assault against me and has only seen our 2 year a handful of times since he was born and hasn't seen him in over a year. My son has always been legally in my full custody and the father has never had any visitation rights or anything but I know he's going to try to get them. I don't want him anywhere near either of us so what do you think the chance is of the judge giving him visits?