A drape suitable for use with a multi-tier back table has a first fabric portion configured to substantially cover a lower table surface and a second fabric portion configured as a pocket that receives at least a substantial portion of an upper table surface. By one approach this pocket includes at least one hand slot configured to receive a user's hand such that the user can lift the second fabric portion and slide the pocket over the upper table surface. A third fabric portion having a vertical panel connects the first and second fabric portions.