Black Bolt Special Illustration Rare Pull Rate — 2.80% per pack (1 in 36)

Zekrom ex — Black Bolt

2.80% of Black Bolt booster packs contain a Special Illustration Rare card — roughly 1 in 36 packs. Black Bolt ships 7 Special Illustration Rare cards in the pool, so the chance of pulling any specific Special Illustration Rare is 0.0040 (≈1 in 250). 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.

Black Bolt Special Illustration Rare pull-rate methodology

How PackRip computes this page
FormulaTier odds = 2.80% per pack; per-card odds = tier odds ÷ 7 Special Illustration Rare cards = 1 in 250.
AssumptionsOne independent rare-slot roll per pack; uniform selection within the tier; no pity timers, box mapping, short-print correction, or edition/condition split.
Data sourceSet checklist and rarity labels from the bundled Pokemon TCG API catalog; tier rates from rareSlotRates(), mirrored from the live pack opener.
Update cadenceRegenerated by prerender whenever set metadata, catalog data, or pull-rate constants change.
LimitationsThis is a theoretical per-pack rate. Real sealed product can show print-run variance, collation quirks, and market-specific edition differences.

Special Illustration Rare cards in Black Bolt

#CardTCGplayer marketPer-card odds
1Zekrom ex #166$261.151 in 250
2Kyurem ex #165$79.251 in 250
3N's Plan #170$72.441 in 250
4Serperior ex #164$56.881 in 250
5Genesect ex #169$47.261 in 250
6Meloetta ex #167$42.851 in 250
7Excadrill ex #168$24.901 in 250

How the 2.80% rate is computed

Every Black Bolt 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, Special Illustration Rare, and the era's other chase rarities. The Special Illustration Rare tier captures 2.80% of those rare-slot draws (= 2.80 packs out of every 100). Within the Special Illustration Rare tier, all 7 cards share the slot uniformly, so per-card odds are 2.80% ÷ 7 = 0.0040 = 1 in 250.

This is the same math PackRip's live Black Bolt simulator uses to roll packs — open as many as you want for free, watch the empirical hit rate converge to the theoretical 2.80% 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 Special Illustration Rare

Special Illustration Rare pulls follow a geometric distribution with per-pack rate 0.028000. The expected number of packs until your first Special Illustration Rare hit is 36; at 95% confidence you'll have one within 106 packs. Most experienced openers crack a sealed booster box (36 packs) and hit Special Illustration Rare with probability 64.0% — so the average box yields just over 1.0 Special Illustration Rare pulls.

Related on PackRip

Other rarity tiers in this set