Strong side vs. weak side back mount

When you take someone's back and you have back mount control, falling to the over-hooked arm (strong side) generally means your control is not as strong, although it's better for chokes. Conversely, falling to the under-hooked arm (weak side) means that your control is better. Also, falling to the under-hooked arm means that you not only have chokes, but arm isolation techniques, triangles, and arm locks.