That is not the definition that biologists are using. For biologists, they are talking about the independence between the specific mutation the organism needs and the processes that cause mutations.
I would also have to conclude that you think craps is not random because it has a built in mechanism to make 7 more likely than 2 or 12. If craps were purely random then 7 would be just as likely as 2 or 12, right? Most physicists think quantum events are random, yet it would seem you would claim they are non-random because certain events are more likely than others. In fact, I doubt there are few, if any, process in nature where all possible outcomes have equal probability.