Just as we are left handed and right handed, one dominates over the other. For persons who identify as right eyed we have the eye of Ra or Sun. It is a blue eye on a field of yellow with one green vertical bar near the hoist. Since the right side is associated with green via starboard, the right side of ship- there is a green.
This is the eye that can things plainly and the nature of the mundane. This eye for gaming, sport, logical doings, and business.