[AndrewC]

Just because the experiment may be replicated, the results may still be random. Many experiments on the sub-atomic level are like this. Young's two slit experiment is a good example.

Are you saying that no prediction can be made about the results? If the results are random how can this applet mean anything?

[Doctor Stochastic]

Are you saying that no prediction can be made about the results?

Random results do not mean that everything is unpredictable. One may have a system wherein one of outcomes has a probability of one-half but which outcome occurs at a given time is completely undetermined. One can compute means, variances, first passage times, etc.