OutRip: pay-to-rank, but you’re opening packs

Maker here. Pay-to-rank boards have one shape: the number is the bid, so first place belongs to whoever spends most, and everybody below the top is watching a wall they cannot climb. OutRip keeps the paying and throws out the bidding. You buy a pack, five cards come out, and your single best card's rating is your rank. Rating is 1/√p — one over the root of how likely that card was — off six trait frequency tables published on the site, which makes it continuous. There is no top card and no ceiling, so first place is always beatable by a good enough pull, and rank 10 is roughly ten times cheaper to take than rank 1 because the empirical to-beat is about one pull in 5/r. Two things I decided up front and put on the site rather than in a FAQ: every pack returns at least what you paid in card value, so there is no losing outcome, only how far above the floor you land; and the crown species is pull-only — never on the pity ladder, never in the dust shop — so money buys you into contention and never buys first place. The trade-in shop is deliberately a bad deal, and the exact size of the bad deal, 4.29x on the round trip, is printed on its own page. Happy to answer anything about the math.