Step 1: Understanding the Concept:
Blood pigmentation is determined by oxygen-carrying metalloproteins in blood cells.
In vertebrates, oxygen transport is mediated by haemoglobin.
Detailed Explanation:
Let us analyze Assertion A:
Blood contains red blood cells (erythrocytes) packed with haemoglobin.
This molecule binds to oxygen to form oxyhaemoglobin.
This complex gives blood its characteristic bright red color.
Thus, Assertion A is true.
Let us analyze Reason R:
Haemoglobin contains a heme group with an iron atom in the $Fe^{2+}$ state.
The coordination complex of iron with protoporphyrin absorbs light in the blue-green spectrum.
It reflects red wavelengths, making it a red-colored biological pigment.
Thus, Reason R is true.
Since the red color of blood is directly caused by the red pigment of haemoglobin, the reason directly explains the assertion.
Step 2: Final Answer:
Both Assertion A and Reason R are true, and Reason R is the correct explanation of Assertion A.