Coincidence Doesn't Equal Causation

It looks like Pope John Paul II isn't going to outlive Terri Schiavo by more than a couple of days. The news shows are already speaking about him in the past tense, although they are still watching the lit windows in his Vatican City apartments. If we lived in a more superstitious age, we might try to link the two deaths together. We are more enlightened, however, so we know that it's all just coincidence. Right?