Ex Legend Maker
Ex Legend Maker is pretty well documented as far as Youtube videos go, I found no less than 20 videos of complete English box openings. A box typicall contains either 10 holos and 2 Pokémon-ex or 9 holos, 2 Pokémon-ex and 1 Gold Star. There are no Delta Species Pokémon except the box topper, Pikachu δ. (In Japan, this set was released before Ex Delta Species.) This means that this is the first set for which the Gold Stars could have been printed on the same sheet as the holos, since they take the place of a holo and also have the same holofoil pattern and card border.
Whether or not they were is impossible to tell for sure with the available data. In order to assess how such a combined holo/Gold Star sheet may have looked, we need to first determine its size. As mentioned earlier, I am assuming all holofoil sheets switched from 10x11 to 11x11 sheets at the same time, though this is by no means certain.
Looking at some raw data for the reverses, it fits very well with a model in which all 27 commons and 1 of the 26 uncommons were printed twice on a 10x11 sheet:
Now, let’s at how the Gold Stars may have been printed, assuming a 10x11 sheet for all holofoil cards in the set. The average number of observed pulls (for all 20 boxes) was 0.35 per box, or about 1 in 3 boxes. The possible sheet layouts are as follows:
- A separate sheet for the Gold Stars, with two of them printed 37 times and the third printed 36 times on the sheet. The average number of Gold Stars can be fixed at 1 in 3 boxes (0.33 per box), the individual cards have pull rates of 1:321.1 and 1:330.0.
- Each Gold Star is printed once on the holo sheet. With 10 cards from that sheet per box, the average number of Gold Stars is 0.27 per box, the individual cards have pull rates of 1:396.0
- Each Gold Star is printed twice on the holo sheet. The average number of Gold Stars is 0.54 per box, the individual cards have pull rates of 1:198.0.
- Two Gold Stars are printed once on the holo sheet and one is printed twice. The average number of Gold Stars is 0.36 per box, the individual cards have pull rates of 1:198.0 and 1:396.0.
I would rule out the third option as that would make the Gold Stars significantly more common than in other sets, and I think the second one is unlikely at it would make them too rare. The fourth one is plausible but I personally don’t like it - the differences in rarity between the cards are too high for my taste -, so I will be going with the first one (separate sheet for the Gold Stars) in my model.
The rarity table looks as follows (“O” is the box topper, Pikachu δ):
The raw data for the holos, rares and Pokémon-ex is as follows (dashed lines indicating where transition from H8 to H7, R9 to R8 and EX16 to EX15 would occur):
For the Gold Stars, the sample yielded 4 Regice, 3 Registeel and 0 Regirock. I did not look at the commons and uncommons.