HS—Undaunted Prime Pull Rate — 11.10% per pack (1 in 9)
11.10% of HS—Undaunted booster packs contain a Prime card — roughly 1 in 9 packs. HS—Undaunted ships 6 Prime cards in the pool, so the chance of pulling any specific Prime is 0.0185 (≈1 in 54). 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.
HS—Undaunted Prime pull-rate methodology
| Formula | Tier odds = 11.10% per pack; per-card odds = tier odds ÷ 6 Prime cards = 1 in 54. |
|---|---|
| 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. |
Prime cards in HS—Undaunted
| # | Card | TCGplayer market | Per-card odds |
|---|---|---|---|
| 1 | Umbreon #86 | $575.30 | 1 in 54 |
| 2 | Espeon #81 | $360.30 | 1 in 54 |
| 3 | Houndoom #82 | $297.40 | 1 in 54 |
| 4 | Raichu #83 | $138.33 | 1 in 54 |
| 5 | Scizor #84 | $120.07 | 1 in 54 |
| 6 | Slowking #85 | $83.19 | 1 in 54 |
How the 11.10% rate is computed
Every HS—Undaunted 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 5 tiers — Rare, Holo Rare, Prime, and the era's other chase rarities. The Prime tier captures 11.10% of those rare-slot draws (= 11.10 packs out of every 100). Within the Prime tier, all 6 cards share the slot uniformly, so per-card odds are 11.10% ÷ 6 = 0.0185 = 1 in 54.
This is the same math PackRip's live HS—Undaunted simulator uses to roll packs — open as many as you want for free, watch the empirical hit rate converge to the theoretical 11.10% 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 Prime
Prime pulls follow a geometric distribution with per-pack rate 0.111000. The expected number of packs until your first Prime hit is 10; at 95% confidence you'll have one within 26 packs. Most experienced openers crack a sealed booster box (36 packs) and hit Prime with probability 98.6% — so the average box yields just over 4.0 Prime pulls.
Related on PackRip
- Open HS—Undaunted packs free — same pull rates, live RNG
- HS—Undaunted binder completion calculator
- HS—Undaunted per-pack expected value
- Top 25 most valuable HS—Undaunted cards
- Every Prime card across all 140 booster sets