In a large bowl, slice the cabbage finely with a mandolin or carefully with a chef's knife. Add the carrots and the scallions in the same bowl.
Whisk together in a measuring cup, vinegar, water, sugar, paprika, salt and pepper. Taste the dressing to see if you need additional sweetness, and if so, add a little more sugar.
Mix the dressing into the sliced cabbage mixture, tossing to make sure the cabbage, carrots and scallions are well coated with the dressing. Chill in the refrigerator for a least one hour before serving.
Garnish with parsley and thin slices of green onion. This salad is delicious with pork dishes.
