Final answer:
Mary's Medical Payments coverage will be used to pay for her friend's broken nose incurred during the accident, as this coverage applies regardless of fault.
Step-by-step explanation:
Mary has insured her car under a Personal Auto Policy (PAP) with various coverages. When she collides with a tree, resulting in her own and her friend's injuries, we need to determine which coverage will apply to her friend's broken nose, given that Mary's friend does not intend to sue and lacks insurance. The correct statement is that Mary's Medical Payments coverage will pay for her friend's broken nose. The Medical Payments coverage is designed to cover medical expenses for injuries sustained by the driver and passengers in the insured's vehicle, regardless of fault. Liability coverage would come into play if there was a legal responsibility to a third party, and Uninsured Motorist coverage protects against injuries caused by uninsured drivers, which is not the case here.