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No.
Nothing is random.
Random is a word we, as humans, use to describe the outcome of circumstance which we do not fully comprehend. As suggested above, if you were to measure and analyze every single atom in a flipping coin you would be able to say precisely what the outcome is. Most often, we don't do this, so the outcome is said to be random.
This is more of a philosophical response, but for those of you interested in physics, I suggest you read up on chaos theory and quantum mechanics.
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