Final answer:
The program designed to provide financial assistance to sailors for college classes during off-duty hours is the Tuition Assistance (TA) program.
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 Tuition Assistance (TA). This program allows sailors to enhance their education while still fulfilling their duties in the Navy. A key aspect of Navy life is not only to see the world and serve their country, but also to learn a trade and advance in their careers. This dedication to professional and personal development reflects the Navy's commitment to its service members. Sailors starting without a trade have a chance to learn one, and with a trade, they can further develop their skills, thanks in part to programs such as TA which provides them with clear money support for educational pursuits.