Wyo. Stat. § 21-3-128
The board of trustees of each school district within the state may save harmless and protect all board members, teachers, and other personnel from financial loss arising out of any claim, demand, suit, or judgment by reason of alleged negligence or other act resulting in accidental bodily injury or death to any person within or without the school building; provided, such board member, teacher, or other personnel at the time of the accident was acting in the discharge of his duties within the scope of his employment. Each board of trustees may procure appropriate policies of insurance to maintain this protection, or it may elect in its discretion to act as a self-insurer. This section shall not be construed as creating or tending to create a liability of the school district so protecting or insuring board members, teachers, or other personnel, nor shall the failure to procure such insurance as is authorized by this section be construed as creating any liability of the school district.
W.S. 21-3-128