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A. Line of Sight (LoS) works in the skirmish game exactly as it does in the D&D role-playing rules. The basic rule falls into two parts. First, a LoS exists if the attacking player can draw a line from any corner of the attacker's square to any corner of the defender's square without crossing a blocking square. Second, the defender has cover if the defending player can draw a line from that same corner of the attacker's square to any part of the target's square so that the line does cross an obstructing square. Obstructing squares contain walls, statues, or other figures. Blocking squares contain walls.
(Taken from the FAQ for the D&D miniature game from WotC)
HC handles Line of Fire (which is traditionally different from Line of Sight) in the more traditional wargame manner, treating the cells (squares) as average occupancy. The D&D mini game you are citing treats the cells as total occupancy. I like average occupancy better because it works for more different cell types than total occupancy.