If a vacancy shall occur in the appointed membership of the Banking Board, the vacancy shall be filled by appointment of the Governor, and the appointee shall hold office until the Senate meets and passes on the appointment. If the appointment is disapproved by the Senate, another appointment must be made by the Governor, and appointments must be made in like manner until an appointment is confirmed by the Senate. The six appointed members of the Banking Board shall be persons of good character. Four of the six must have had at least five years' experience in the 10 years next preceding their appointment to the Banking Board either as an officer of a bank, a director of a bank or an examiner or other officer in a federal or state bank supervisory agency, including the Office of the Comptroller of the Currency, the Federal Reserve System, the Federal Deposit Insurance Corporation and the banking departments of the various states or other equivalent experience. Three of the members of the board, during the time they hold office, shall be connected with some state bank doing business as a bank under the laws of the State of Alabama as an officer or director of such bank.