Mal may have different advice, but I'd say if you have a busy place with dogs and people coming and going - noise and bustle - the snake was most likely passing through. Their thirst will overcome their fear of dogs. But if your dogs have stopped and looked instead of jumping straight in to grab they should always give a snake time to move away.
They really don't want to waste their venom on people or dogs or anything that is not prey. It is costly in terms of energy for them to manufacture, and using it up will result in them starving.
If it was a little one too it is probably not established in a territory yet and will be constantly on the move to stay away from bigger snakes that will make a meal of it.
Red bellied blacks are actually good to have around, they are calmer and not so easily startled as browns. They are also territorial - will keep browns away.