(a) In the event of the death of a duly appointed guardian, the judge of the probate court shall have the discretionary authority to appoint a successor guardian. The judge shall notify the nearest of kin of the ward to appear before him at the next term of court. If the judge is satisfied after a hearing that the appointment of a successor guardian will not be detrimental to the best interests of the ward and no good cause is shown against it, he shall be authorized to enter an order appointing a successor guardian.

(b) The ward shall have the privilege, within five years after he becomes of age or his disabilities are removed, to call for an accounting.