There are choices even if there's no chance, so prediction of anything will be very hard.
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What if I knew all these factors.
Beyond humanly possible, yeah but that kinda makes it too much theoretical. If you knew everything, then you would know how everything works in this universe too.
If you know the seed of the randomness, then because you know it could you still call it random? (I'm talking about knowledge of the 'infinite seed for the randomness, combined with it's 'random' outcome', quite impossible for us to know. And still random if you knew imho.)
Randomness in a computer function isn't random, because it's seed isn't random (or the seed is not random enough, not sure exactly, but I heard it's not really random.), but this has it's advantages too.
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It will always do the same thing, in the same situation.
Problem is, every situation is unique. Yes, it may be similar, but it can't be the same. So, there you go. The evidence that proves randomness. 
Cheers
