Updated

Updated · The Conversation · Aug 2

Simulation Finds 110-130 Pokémon Packs Needed for Base Set, With 771 for Ascended Heroes

Updated

Updated · The Conversation · Aug 2

Simulation Finds 110-130 Pokémon Packs Needed for Base Set, With 771 for Ascended Heroes

Q: What hidden rarity trap forces collectors to open over 700 packs just to complete the base checklist of certain Pokémon expansions?

The hidden trap is an unusually large number of **double rare cards embedded in the base set**. In the simulation, **Ascended Heroes** was the only major outlier, requiring a median of about **771 packs** to complete its numbered base checklist because it contains **39 double rares**, compared with only about **nine or 10** in the other sets. That matters because these double rares are still counted as part of the “base” collection, even though they are pulled much less often than commons, uncommons and standard rares. So collectors may think they are only chasing the ordinary checklist, but the set quietly includes a large block of harder-to-hit cards that function like bottlenecks. The result is a classic **coupon collector’s problem**: early progress feels fast, but the last few missing cards—especially rare base-set cards—take disproportionately long to find. In Ascended Heroes, that rarity structure, not just the set’s overall size, is what pushes pack counts from the usual **110 to 133 range** to well over **700**.

1 articles · Updated · The Conversation · Aug 2

10,000 simulated collectors needed about 110-130 booster packs to finish the numbered base set in five of six recent Pokémon TCG releases, with medians ranging from 111 for Perfect Order to 133 for Chaos Rising.
Ascended Heroes was the outlier at roughly 771 packs because it includes 39 double-rare cards, versus nine or 10 in the other sets, making the final missing cards far harder to pull.
Freshness also faded quickly: after about 15 packs, fewer than half the cards in a new booster were typically unseen, and by 30 packs most sets yielded only one or two new cards.
The model used published pull rates from thousands of real pack openings and focused on base sets of around 100 cards, excluding ultra-rare secret and illustration cards that are much harder to complete.
The findings frame Pokémon's 30th-anniversary card hype through the classic coupon collector problem: novelty drops fast even as full completion remains distant.