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While I will be the first person to admit that I don't completely understand either, the concept is pretty simple.
Think of a digital recording being something like sheet music. Sheet music is a set of instructions on how to play a song that anyone who knows how to read music can reproduce.
Digital recordings work in a similar fashion. The playback device reads the instructions which include things like frequency and volume, and is able use that information to make a perfect playback of the digital recording.
Could it be recreated by random chance? Sure. Would it? Probably not. At least not easily.