In order to get 99.9% certainty, 1) you are saying you are willing to have one in a thousand death penalties against innocents, and 2) that requires a system made of people to do their job correctly 99.9% of the time. I dont think there is a job on earth that people in a large group can do that well.
Even when it is not deterministic at a single event, it is at a group of events. I know that sounds contradictory, and there is probably a better way to word that, but for example - if quantum randomness means that you cannot predict where a specific particle will go each time you measure it, you can predict the distribution curve of where the particle will be if you measure it some arbitrarily large number of times.