Since 1912, there have been six instances in which this happened, although Bruce Babbitt acceded to the post while serving as attorney general, as Rose Mofford had only been appointed as Secretary of State due to the death of Wesley Bolin five months earlier.
In 1994, Arizona voters rejected proposition 100, which would have created the office of lieutenant governor to be elected on a joint ticked with the governor, with 65.3% of voters being against the measure.
Section 9 provides that the state legislature may prescribe further duties for the lieutenant governor.
The proposition—through a law pre-passed by the Legislature—will also task the governor with assigning a job to her or his running mate, such as chief of staff, the director of the state Department of Administration, or "any position" to which the governor can appoint someone by law.
[1] Italics indicate next-in-line of succession for states and territories without a directly elected lieutenant governor or whose lieutenant governor office is vacant: