I am not saying that cause and effect are completely absent. In fact, to a large extent, what we call cause and effect is due to statistical effects from having Avogadro's number of atoms around. The averages are *very* well determined in such situations.
But, we know of many situations that are not 'caused'. Such events can then be causes of other events, especially in the sense above. So, for example, an individual nuclear decay is not a caused event. But having a macroscopic sample of a radioactive material provides enough decays to allow causal connections. We use such in many fields, from medicine, to fossil dating, etc.
But what we have found is that while we can predict the *probabilities* of quantum events, we cannot predict the specifics of any given event and our description goes as far as to say such prediction is impossible.
So, for example, when an electron is emitted from a beta decay (like for tritium), that electron interacts with a fairly large number of surrounding atoms. The resulting current is large enough and predictable enough to say it is caused by the passing of that electron. But, for example, the *direction* of the electron cannot be predicted ahead of time.