False.
While hemoglobin and carotene can affect skin color to some extent, the three primary pigments that contribute to skin color are actually melanin, hemoglobin, and carotene.
Melanin is a pigment produced by specialized cells called melanocytes, which are located in the epidermis of the skin. Melanin is responsible for the brown, black, and yellow tones of skin, and it helps protect the skin from the damaging effects of the sun's ultraviolet (UV) rays.
Hemoglobin is a protein in red blood cells that carries oxygen throughout the body. It can also contribute to skin color, especially in individuals with fair skin, where the pink or red tones of the blood vessels underneath the skin can show through.
Carotene is a yellow or orange pigment found in some vegetables, such as carrots, and it can accumulate in the skin and contribute to a yellow or orange tint, especially in individuals with a diet high in carotene.