For sure, but I think it's more helpful to this about "classes" of sequences. Sequences which have a uniform distribution of digits (within some margin of error), sequences which do not have repeating patterns, sequences that do not contain the same digit twice in a row etc... Any single one of these sequence is as likely as any other, but some "classes" are vastly bigger (and therefore, more probable) than others. By deciding which classes of sequence any result belongs to, you can decide if it's likely to have been produced by a fair die or not.
This intersects with the concept of entropy: assuming that you have a box containing a gas whose particles move randomly about the volume of the box, then at some point you take a snapshot of the position of every single particle in the box and you discover that they're all in the right half of the box, the left side being in a vacuum. Would you assume that it's just random chance? It could be. It certainly isn't.
Meanwhile any of the trillions and trillions of snapshots showing particles more or less uniformly distributed within the box are all more "random looking" and are what is expected from such an experiment. These configurations as a group occupy the vast majority of the phase space for the contents of the box.
This intersects with the concept of entropy: assuming that you have a box containing a gas whose particles move randomly about the volume of the box, then at some point you take a snapshot of the position of every single particle in the box and you discover that they're all in the right half of the box, the left side being in a vacuum. Would you assume that it's just random chance? It could be. It certainly isn't.
Meanwhile any of the trillions and trillions of snapshots showing particles more or less uniformly distributed within the box are all more "random looking" and are what is expected from such an experiment. These configurations as a group occupy the vast majority of the phase space for the contents of the box.