But it could, perhaps, compute something like the degrees of freedom the prompt allowed. If, in choosing how to complete the prompt, it had to choose between a

But it could, perhaps, compute something like the degrees of freedom the prompt allowed. If, in choosing how to complete the prompt, it had to choose between a huge number of different responses, perhaps that's an indication that the prompt is not precise enough? (Of course, even the most precise prompt is still going to allow for a huge number of variations in response, so you'd have to scale the actual numbers down quite a bit for them to be useful.)