Final answer:
The statement is true; osmosis and simple diffusion do not require carrier proteins as they are passive transport processes that move substances along their concentration gradients without using cellular energy.
Step-by-step explanation:
It is true that simple diffusion and osmosis do not depend on carrier protein activity. Osmosis and simple diffusion are examples of passive transport methods that don't need energy or carrier protein activity to take place. Osmosis, for example, is the energy-free transfer of water across a semipermeable membrane from a high water concentration area to a low water concentration area. The phospholipid bilayer of the cell membrane is directly penetrated by nonpolar molecules and small polar molecules via simple diffusion as they travel along the concentration gradient (from high to low concentration).
It's critical to differentiate facilitated diffusion from the previously discussed simple diffusion and osmosis processes, even though it does involve transport proteins such as channel and carrier proteins.