Simple question. Is rolling a six-sided dice that has 5 sides with a 1 and 1 side with a 6 random? Not a 1-6 dice. Or is rolling two dice random?

Yes. You cannot state with any certainty whether a six or a one will appear. It could be either. There is clearly a higher probability of rolling a one (a five in six chance), but despite that difference in probability the outcome is still random (at least, according to the definition of "random" which I've always used).

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