More educational than MTV, but, man, you've opened a can of worms.
Erythrocytes contain no DNA, however, having lost their nuclei during maturation.
Hope you were paying attention, 'cuz we'll revisit this later. This is different from whole blood, per se, which contains other components, such as serum, white blood cells, platelets, and antibodies. White blood cells, a.k.a. leukocytes, contain nuclei and are the agents that provide a DNA profile from blood. In whole blood transfusions, the whole soup is transfused from one person to another. Be that as it may, in actual observation, the DNA profile of a blood donor has not been detected in the peripheral blood of a recipient, regardless of how much was transfused.