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xepherys, I guess it's not random because if you built a robot just so, that could roll a dice of precise proportions, onto a surface exactly thus, you might be able to predict the outcome of any given throw (either by conducting lots of experiments, or by calculating the trajectory, bounce height and rotation of the die as it hits the surface)
We think of dice-rolls as being random because we normally aren't able to throw with that kind of precision, and because small variations in initial conditions propagate into large variations in eventual outcomes (loosing $1000 on 'snake-eyes') we consider it to be random.
The existence or otherwise of an omnipotent God doesn't hang with the concept of randomness, because for something to be random, it would have to surprise God as well, which, He being omnipotent, is likely to be tricky.
As for cause and effect, if every event has a cause (which I suppose they do), you'd have to go all the way back to the beginning of time and the universe to find an event that occurred spontaneously.
As said before, I don't see a problem with false-random, or pseudo randomness being labelled as 'random' - none of us are capable (or ever will be) of 100% accurate prediction of the future, and as such, will always be open to surprise.
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