I'm not certain why I used the word "bias". I think I was getting at that the data isn't representative of the population of interest.
Regardless, no other method can solve the problem specified without additional information (which you claimed). And with additional information, it's straightforward prediction again.
That is, condition on their prior health status, not just the fact they've been given the drug. And prior probabilities.
Yann LeCun, now of Facebook, was interviewed by The Register. It is interesting that his view of AI is apparently that of a prediction tool:
"In some ways you could say intelligence is all about prediction," he explained. "What you can identify in intelligence is it can predict what is going to happen in the world with more accuracy and more time horizon than others."
rather than of a world optimizer. This is not very surprising, given his background in handwriting and image recognition. This "AI as intelligence augmentation" view appears to be prevalent among the AI researchers in general.