4. administration of an estate - the probate process the probate process when people die, they usually own property, owe debts, and may be owed money by other people. the probate process is often required to settle an estate. if the decedent has a valid will, he or she may have appointed a personal representative known as an to supervise the probate process and settle the estate. however, if the decedent does not have a valid will, the probate process is usually supervised by a court-appointed . the probate process