Will an out of state probation officer find out about a drunk in public?

Consult a criminal lawyer. The laws in each state are different from one another, and only a lawyer well-versed in the law of the state in which you on probation can give you a useful answer. That said, if you are asked a question in court, whether or not you are under oath, you have no choice but either to tell the truth, or respectfully refuse to answer.

In this day and age, with computer access being what it is, there is a very good chance that your probation officer is going to find out. The fact that you got a "drunk in public" while being on probation for a DUI leads me to believe that you have not yet learned anything, and perhaps you have a substance abuse issue.

You should hire an attorney to handle the out-of-state ticket immediately. It's possible that your probation officer won't find out about the out-of-state ticket if you get it reduced to a lesser offense. But if you just plead guilty to the out-of-state ticket, the conviction of "Drunk in Public" will be reported on your criminal record and your probation officer will see it. It's up to you, but in general it's always best to tell your probation officer about violations before they find out about it on their own.

Instead of worrying about the probation, you need to focus your attention on how you can avoid being convicted. You should hire a lawyer and get this relatively minor charge dismissed.

Very tough question. First, did you have permission to travel? Probably not so that is a violation. You are also required to report contact with the police to your p.o. so if you don't, that is a violation. You are not supposed to be drinking, so that is a violation.... If you were arrested, then they can find it because you fingerprints and your new criminal history are in a database that all probation officers can access and they generally do just before they turn the file over to the judge for him to sign the order ending probation. you are in deep trouble.