FLORENCE, Ariz.  One of the newest residents on Arizona’s death row, a convicted serial killer named Dale Hausner, poked his head up from his television to look at several visitors strolling by, each of whom wore face masks and vests to protect against the sharp homemade objects that often are propelled from the cells of the condemned.

It is a dangerous place to patrol, and Arizona spends $4.7 million each year to house inmates like Mr. Hausner in a super-maximum-security prison. But in a first in the criminal justice world, the state’s death row inmates could become the responsibility of a private company.

State officials will soon seek bids from private companies for 9 of the state’s 10 prison complexes that house roughly 40,000 inmates, including the 127 here on death row. It is the first effort by a state to put its entire prison system under private control.

The privatization effort, both in its breadth and its financial goals, demonstrates what states around the country  broke, desperate and often overburdened with prisoners and their associated costs  are willing to do to balance the books. Arizona officials hope the effort will put a $100 million dent in the state’s roughly $2 billion budget shortfall.