You will eventually end up with a deck in the same order as the beginning, but that doesn't mean it isn't random.

No, by the definition of shuffle. Maybe you're confusing randomness and disorder? A perfectly ordered deck might've reached that state by pure chance.

Randomness is not a property of the state. It's a property of the transitions.

OP was deleted because it was getting downvoted. Apparently the state is a normal, expected outcome from randomization, and it was a dumb question to ask.

OP asked about shuffling multiple times and having the deck become less random intentionally. AFAIK, the only way to do this deliberately is with the riffle, and it only works from a sorted deck.

A deck can indeed end up more ordered after one or more shuffles than it was before. But if the shuffle has any randomness to it, this is coincidence, and it will only happen as often as it is likely, which is not much. The same way you do have a probability of flipping 10 heads in a row, you can accidentally organize a deck. But the chance of flipping 10 heads in a row is (you know already) slightly lower than one in a thousand. The chance of just happening to organize a randomized deck after one or multiple shuffles is "a lot" lower than that.

If you want to be precise, it doesn't make sense to talk about _one_ shuffled or randomized deck.

Randomness strictly speaking only makes sense for distributions, not for particular instances.

If you have any probability distribution of permutations, then shuffling doesn't make it less random (ie doesn't decrease entropy), no matter how bad your shuffle is. As long as your shuffle does not depend on the state of the cards.

A random shuffle might, by chance, return a specific deck into a fully sorted state.