Which is the correct sleeve insignia for a Private?

The sleeve insignia for a Private is indeed none, reflecting their position as the lowest rank in the enlisted hierarchy. A Private does not wear any chevrons or insignia on their uniform sleeves. This absence of insignia signifies their entry-level status and the fact that they are in training and developing their skills. In many military organizations, including the Navy, the rank structure clearly delineates responsibilities and seniority, and the lack of insignia for a Private aligns with this system by indicating that they are still in the process of learning and acclimating to military standards.