Reversed time randomness

So assuming the viewpoint of traveling backwards through time, what happens to the random events of quantum physics? I'm thinking that stuff like radioactive decay would be a predictable event, in that you'd see the particle/ray colliding with the nucleus, popping it a place up on the decay chain.
Are there any events that are deterministic forward-time that would look non-deterministic in reverse-time? Maybe the ejection of matter from black holes?