Wyo. Stat. § 7-3-216: Right of person arrested without warrant to bail.

Unless the offense with which the prisoner is charged is shown to be an offense punishable by death or life imprisonment under the laws of the state in which it was committed, the judge or magistrate shall admit the arrested person to bail by bond or undertaking, with sufficient sureties, and in such sum as he deems proper. The bail or bond shall be conditioned for the appearance of the arrested person before the judge or magistrate at a time specified in the bond or undertaking, and for his surrender, to be arrested upon the warrant of the governor of this state.