Which privileges are granted by a third class medical certificate?

A third-class medical certificate is required for individuals who wish to exercise the privileges of a private pilot. This certificate is the minimum medical requirement for flying as pilot-in-command of an aircraft when holding a private pilot certificate. The vision, hearing, and overall health standards set forth by the FAA ensure that the pilot can safely operate an aircraft under visual flight rules.

The other options refer to higher levels of certification. A commercial pilot privileges require at least a second-class medical certificate, while holding an airline transport pilot certificate necessitates a first-class medical certificate. Hence, the correct answer focusing on the appropriate level of medical certification and associated piloting privileges is the private pilot privileges linked to a third-class medical certificate.