Does Buddhism allow for true randomness?

Is the law of dependent origination completely deterministic? If everything is dependent, there should be no true randomness. The current mainstream view of the physicists is that true randomness does exist, that is, it is something inherent to the reality, and not just our uncertainty about the current state of the world. In other words, they believe that there is such thing as a true source of randomness. Is this viewpoint incompatible with the Buddhist doctrine? Or does dependent origination allow for some degree of non-determinism?