(a) If a member of the board of trustees of a school district is a stockholder, officer, director, or employee of a bank, the bank is not disqualified from bidding, submitting a proposal, or becoming the depository of the district if the bank is selected by a majority vote of the board of trustees of the district or a majority vote of a quorum when only a quorum is present.
(b) If a member of the board of trustees of a school district is a stockholder, officer, director, or employee of a bank that has bid or submitted a proposal to become a depository for the district, the member may not vote on awarding a depository contract to the bank, and the contract must be awarded by a majority vote of the trustees as provided by Subsection (a) who are not either a stockholder, officer, director, or employee of a bank receiving a district depository contract.