Supreme Victors
For this set, the Pokémon Company significantly increased the pull rates for the Pokémon LV.X. This, as well as the presence of Charizard G LV.X, are possible reasons why this set seems to have been very popular. There are a ton of box opening videos on Youtube, and this is the first set for which I have at least 1000 packs (28 boxes) in my sample.
Nevertheless, I am not certain what the exact ratio for Pokémon LV.X is in this set. The sample yields 3.75 per box (19 boxes with 4, 8 with 3, 1 with 5). Contemporary discussion on the Pokegym forums (SV Box Ratios? | The PokeGym) isn’t really conclusive either. Boxes with 3 Pokémon LV.X seem to be common, as are such with 4 of them. Even though the latter seem to be a bit more prevalent, in my model I am going to assume 3.5 Pokémon LV.X per box (21 per case). This means the individual cards have the same average pull rate as in the next set, Arceus (3 Pokémon LV.X per box, with 6 different ones in the set; Supreme Victors contains 7 different Pokémon LV.X).
As to the reverses, I would assume two sheets were used, with all of the reverse uncommons, rares and rare holos, the three Shining Pokémon and one reverse common printed twice, and the remaining 44 reverse commons printed once. A comparison with observed data looks as follows:
The three secret rare reprints of the Legendary Birds I would guess to be printed 5 times each on the holo sheet; this would make them very close to 1 per box. The rarity table looks as follows:
The raw data for the holos, rares and Pokémon LV.X is shown below (dashed lines signifying where the transition from H8 to H7, etc., would occur). For the rares, I felt confident enough for the first time giving an estimate on which ones have which rarity based on observed pull rates alone; it looks very much like the R3 cards are the 12 Pokémon SP as well as the Legendary Birds (different versions from the secret rare reeprints). (The information I provided for the rares in Great Encounters was based on a near-complete reconstruction of the rares sheet.)
The commons sheet, which I reconstructed, looks as follows (dagger marks signifying that it isn’t clear where the sheet begins and ends):
† Mudkip, Zubat, Beldum, Mime Jr., Surskit, Doduo, Pachirisu, Geodude, Kricketot, Croagunk, Whismur, Buizel, Roselia, Cherubi, Meditite, Gible, Bulbasaur, Starly, Chingling, Sandshrew, Bidoof, Rhyhorn, Nincada, Buneary, Goldeen, Meowth, Magnemite, Turtwig, Chatot, Drifloon, Seel, Growlithe, Chimchar, Shinx, Combee, Piplup, Shroomish, Mankey, Mime Jr., Roselia, Cherubi, Starly, Magnemite, Pikachu, Geodude, Skorupi, Chingling, Corphish, Bulbasaur, Doduo, Sandshrew, Mudkip, Gible, Baltoy, Magikarp, Beldum, Pachirisu, Chimchar, Nincada, Shroomish, Shinx, Drifloon, Piplup, Meowth, Zubat, Whismur, Combee, Kricketot, Feebas, Bidoof, Mankey, Surskit, Buneary, Growlithe, Seel, Chatot, Meditite, Paras, Beldum, Skorupi, Mime Jr., Gible, Magnemite, Zubat, Turtwig, Cherubi, Whismur, Geodude, Bidoof, Shroomish, Kricketot, Surskit, Drifloon, Corphish, Mudkip, Growlithe, Roselia, Baltoy, Pachirisu, Mankey, Doduo, Pikachu, Magikarp, Nincada, Buizel, Croagunk, Starly, Buneary, Paras, Piplup, Feebas, Sandshrew, Shinx, Bulbasaur, Combee, Meowth, Rhyhorn, Goldeen, Chimchar, Pikachu, Corphish †
It is noteworthy that the 14 C2 cards are basically every third common card according to set numbering, with the exception of Mudkip which is a C3 card.