After 8 p.m. on election day, each local board shall randomly select for post-election verification and auditing, the greater of: Three precincts with at least 300 registered voters; or 5 percent of all precincts used in the election. Each local board shall: Select the precincts at an open session of the local board; and Provide notice of the open session as required under State Government Article, §10-506, Annotated Code of Maryland. Within 3 days of selecting the precincts, the election director shall forward to the State Administrator a list of the selected precincts. The State Administrator may require the local board to conduct the audit and verification procedures on additional precincts.