It really is impossible to compare one area with another.
When we applied, we would have got in to any of the 5 primary schools within walking distance. They were all possibilities as non were over subscribed.
But families living 2 miles away, also within walking distance of 3 schools, could not get places at all, even the family living 50 yards from the door. The reason? They all lived on a new development, and the council had not allowed for any extra school places. Their local school were filled with siblings. They all ended up being given places in our school, which added a bulge class on that year.
My point is that your local situation is always unique and so our experiences aren't going to give you your answer.
As pp said, you need to contact the council. They will tell you who was admitted last year. So they will say that the child furthest away who was admitted, lived 1.3 miles away (or whatever) If you live 1.8 miles away, you should probably be worried. If you live 0.6 miles away, then it is pretty likely that you will get in.
You are doing the right thing by applying to schools close to home. That is really your best option.