Membership on the board shall consist of seven professional members and two public members appointed pursuant to section 38-158. The members shall meet the requirements of sections 38-164 and 38-165. Three of the professional members shall be licensed alcohol and drug counselors who may also be licensed as psychologists or mental health practitioners, three of the professional members shall be licensed alcohol and drug counselors who are not licensed as psychologists or mental health practitioners, and one of the professional members shall be a psychiatrist, psychologist, or mental health practitioner.