The vast majority of newspaper images are taken either by staff photographers who work for that particular paper (or an affiliate paper within the same company), or they are sourced from the AP . . . and almost all AP photos were taken by staff photographers, as well.
I have done freelance work for a few papers. Freelance means you are not on staff - you just contribute on an as-needed basis, and get paid per image, for each image used. There is very little money in this. One paper would occasionally send me to "cover" events that their staff photographers could not get to. I was paid $10 for each image they ran in the paper. Basketball game (high school) - they would use one or two pics, so I would get ten or twenty bucks. Homecoming football game? They'd use 3 to 5 pics, so I'd get as much as fifty bucks - that was a huge payday for a freelance newspaper photographer!
Back east where the papers were much bigger, I received as much as $50 for each image used, but they would only use one photo from each event - and sometimes they didn't use any at all. If they send you somewhere to shoot an event, then decide they don't have room to run anything about that event, you get nothing - not even a reimbursement for mileage. Nothing. (there was never any reimbursement for mileage, regardless of the paper I "worked" for, whether images were used or not)
If you want to get into it because you think it would be fun, then go for it!
If you want to get into it to earn some extra cash, then you'd probably be better off searching the gutters for dropped change - there is probably more money in that!
"Your" and "you're" are different words with completely different meanings - please use the correct one.
"They're", "their", and "there" are different words with completely different meanings - please use the correct one.
"Fare" and "fair" are different words with completely different meanings - please use the correct one. The proper expression is "moot point", NOT "mute point".