In quantum mechanics, probability is wonderful. Do Experiment A and you receive a very good series of events that can be described by probability and statistics.

Is it ever possible to run an experiment that has "Effect A" happen at x% and "Effect A" has a chance of causing "Secondary Effect B", y% of the time (and so on)?

(Edit) Basically, I was wondering if quantum mechanics ever could build a chain of probabilities for a chain of events where you could say with some certainty that if A happens, B has a good chance of happening and if A and B happens then C is also very likely to happen and so on.

I can't formulate a reasonable real word example, but is that reasonable?