Within fifteen days after July 1, 2009, the county law library resources board shall hold its initial meeting at the office of the board of county commissioners at a time that the chairperson of the county law library resources board determines. Thereafter, the board shall meet at least four times a year, as determined by the chairperson or at any other time as determined by a majority of the board. A majority of the members of the county law library resources board constitutes a quorum at any regular or special meeting.