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Btw whatever you did i take your word for it i can't be bothered with doing the math to either confirm or deny your claim, just making sure that you took the multiple cards per packs into consideration, eitehr way thanks for the numbers and the effort.
Your math is WAY off. Here are the starting percentages given a box that hasn't had any packs opened from it. This is on a per pack count because of how Rare+ cards work.
Main Box
UR cards, 5% draw chance minimum
SR cards, 12% draw chance minimum
R cards, 83% draw chance minimum
Mini Box:
UR Cards: 3% draw chance minimum
SR cards: 10% draw chance minimum
R cards: 87% draw chance minimum
What you're guaranteed in each pack is one R or higher card per pack. However, in mini boxes, there are more R cards than there are packs. So out of those packs, there will be a couple that contain an additional rare card (for 4 cards instead of 3). Those start at 2% chance.