If you served probation you were found guilty. Deferred or not, the police dept will see the arrest and prosecution in the court records. They have access to all of them.
I'd say your chances are pretty much zero. Remember, you compete against a whole lot of other applicants without such a history. It's a pretty major hit.
Don't try and outweird me, I find weirder things than you in my breakfast burrito.
fishing (fish-ing)
1.n.the art of casting,trolling,jigging,or spinning while freezing,sweating,swatting,or swearing.