Platinum
Like Stormfront, Platinum contains secret rares which are reprints from earlier sets (Electabuzz, Hitmonchan and Scyther - the “Haymaker” trio from the early days of the TCG), as well as Shining Pokémon (Lotad, Swablu and Vulpix). Pokémon LV.X, just like in the previous two sets, appear to be about two per box; for the secret rares, I am making the same assumption as for Stormfront, namely that they are printed four times each on the holo sheet.
For the reverses, there are two conceivable variant. There are a total of 121 reverses which would exactly fit onto one sheet, but with the addition of the three Shining Pokémon, a second sheet must have been required. The variants are:
- One sheet for the reverses, one for the Shining Pokémon, with the latter being one per box.
- Two sheets, containing 115 of the reverses and all three Shining Pokémon printed twice, and six reverses printed once; the Shining Pokémon would have a rarity of 6 / 242 * 36 = 0.89 per box if both sheets were printed in equal quantities.
The first variant is more elegant, and it appears to be the one that was chosen. I observed some footage on Youtube and noted down the position of the packs and the pack art (Dialga, Palkia, Giratina and Shaymin) - see figure below. The overlapping sequences (marked in yellow) make it look like all the reverses in the boxes were coming from one single sheet (if two sheets were used, I would expect them to be inserted alternatingly, or in some similar pattern). Also, the orange marking denotes the place a Shining Pokémon was inserted in pack L2 (featuring Palkia artwork) of the first box, interrupting the sequence.
The rarity table looks as follows (SP denoting the Shining Pokémon):
The raw data for the holos, rares and Pokémon LV.X looks as follows (dashed lines indicating where the transition from H7 to H6, etc., would occur):
As to the Shining Pokémon, I saw 4 Lotad, 3 Swablu and 3 Vulpix pulled - which obviously has no statistical significance whatsoever.