A guess would be equally good without dice throwing. Indeed if you have access to the dice that generated the result we want to know about you can infer distribution information. But if you have a different die and determine that it’s weighted it doesn’t tell whether the orignal die is weighted. If you knew the dice came from the same factory you could infer something. But you manufacturing a fresh dice is justified to assume to not be distributionally connected. If you have information that you know to correlate your manunfacturing process to be similar then that contains your information and the actual rolling of the die doesn’t tell you anything.
A guess would be equally good without dice throwing. Indeed if you have access to the dice that generated the result we want to know about you can infer distribution information. But if you have a different die and determine that it’s weighted it doesn’t tell whether the orignal die is weighted. If you knew the dice came from the same factory you could infer something. But you manufacturing a fresh dice is justified to assume to not be distributionally connected. If you have information that you know to correlate your manunfacturing process to be similar then that contains your information and the actual rolling of the die doesn’t tell you anything.