Comment by tsimionescu

> My view is that probability is not an objective fixed thing, but that it is something relative to the observer of experiments.

This is basically the Bayesian view of probability - that probability is a measure of the knowledge of an agent, not a property of a system. There are even some interpretations of QM that try to find a way to apply this to the measurement problem.

However, for this particular case, I don't think there is anything all that mysterious. If a process is more or less equally likely to produce any of a huge number of outcomes, it stands to reason that you can't predict which outcome will happen, even while knowing some outcome is fully guaranteed.