Ever eat a medium rare piece of beef????/or beef tartar????...blood
Oh, come on TC! Where did you learn your butchering facts? The blood is DRAINED from the animal right after it is killed otherwise, the meat will be contaminated and distasteful. NO one would eat it! That "juice" you must think is blood is actually "myoglobin".
To start with, the red, or dark, juice from red meat is not, in fact, blood, which is a common misconception. Most blood is drained from red meat when it is butchered. It is, rather, a protein (myoglobin) and a lot of water. (http://cooking.stackexchange.com/questions/8952/how-should-i-deal-with-blood-released-while-thawing-meat-in-the-refrigerator)