Final answer:
The Tuition Assistance Program is the initiative that provides sailors with financial assistance to attend college classes voluntarily during off-duty hours, covering part of their tuition costs.
Step-by-step explanation:
The program that entitles sailors to receive financial assistance to attend college classes on a voluntary basis during off-duty hours is the B) Tuition Assistance Program. This education program is designed to support active duty, National Guard, and Reserve Component service members by covering the costs of tuition for post-secondary courses. Each branch of the military has its own policies and procedures regarding the Tuition Assistance Program, usually covering a portion of the tuition expenses up to an annual limit.