Chris Brown finally off probation

Chris Brown just caught a big break ... the probation dept. has backed off its recommendation that Chris be thrown in jail ... TMZ has learned.

As you recall ... the judge revoked Chris' probation after the probation dept. issued a scathing report, claiming Chris had a knack for finding trouble, and they highlighted the fact that he was present during 2 shootings ... one in San Jose and another at 1OAK where Suge Knight got shot.