Ascended Heroes Pokemon ex Pull Rate — 16.70% per pack (1 in 6)
16.70% of Ascended Heroes booster packs contain a Pokemon ex card — roughly 1 in 6 packs. Ascended Heroes ships 39 Pokemon ex cards in the pool, so the chance of pulling any specific Pokemon ex is 0.0043 (≈1 in 234). These percentages come from PackRip's own rate table (the same constants the simulator runs on) — they are a model of the product, not a measurement of it. The Pokemon Company has never published pull rates.
Ascended Heroes Pokemon ex pull-rate methodology
| Formula | Tier odds = 16.70% per pack; per-card odds = tier odds ÷ 39 Pokemon ex cards = 1 in 234. |
|---|---|
| Assumptions | One independent rare-slot roll per pack; uniform selection within the tier; no pity timers, box mapping, short-print correction, or edition/condition split. |
| Data source | Set checklist and rarity labels from the bundled Pokemon TCG API catalog; tier rates from rareSlotRates(), mirrored from the live pack opener. |
| Update cadence | Regenerated by prerender whenever set metadata, catalog data, or pull-rate constants change. |
| Limitations | This is a theoretical per-pack rate. Real sealed product can show print-run variance, collation quirks, and market-specific edition differences. |
Pokemon ex cards in Ascended Heroes
How the 16.70% rate is computed
Every Ascended Heroes booster pack rolls one rare-slot card (plus uncommons, commons, and energy in fixed slots). The rare slot is itself a weighted random draw across 6 tiers — Rare, Holo Rare, Pokemon ex, and the era's other chase rarities. The Pokemon ex tier captures 16.70% of those rare-slot draws (= 16.70 packs out of every 100). Within the Pokemon ex tier, all 39 cards share the slot uniformly, so per-card odds are 16.70% ÷ 39 = 0.0043 = 1 in 234.
This is the same math PackRip's live Ascended Heroes simulator uses to roll packs — open as many as you want for free, watch the empirical hit rate converge to the theoretical 16.70% over a large enough sample. Source code lives in src/utils/packGenerator.ts and the per-rarity drift is build-time-asserted against the published rates so the simulator and this landing page can never disagree.
Cumulative probability — how many packs to hit Pokemon ex
Pokemon ex pulls follow a geometric distribution with per-pack rate 0.167000. The expected number of packs until your first Pokemon ex hit is 6; at 95% confidence you'll have one within 17 packs. Most experienced openers crack a sealed booster box (36 packs) and hit Pokemon ex with probability 99.9% — so the average box yields just over 6.0 Pokemon ex pulls.
Related on PackRip
- Open Ascended Heroes packs free — same pull rates, live RNG
- Ascended Heroes binder completion calculator
- Ascended Heroes per-pack expected value
- Top 25 most valuable Ascended Heroes cards
- Every Pokemon ex card across all 140 booster sets