How Many Packs to Pull Mega Lucario ex from Mega Evolution
| Card | Mega Lucario ex — Mega Evolution #188 |
|---|---|
| Rarity tier | Hyper Rare |
| Per-pack odds | 1 in 71 |
| Expected packs to pull | 72 |
| 50% confidence band | 50 packs |
| 95% confidence band | 213 packs |
| TCGplayer market | $266.11 |
| Pack-rip break-even | 53 packs @ $5 |
Mega Lucario ex chase methodology
| Formula | Specific-card odds = Hyper Rare tier rate (2.80%) ÷ 2 cards; confidence bands solve 1 - (1 - p)^N. |
|---|---|
| Assumptions | Independent pack rolls, uniform selection within the rarity tier, no pity timers, no box mapping, no first-edition/condition split, no duplicate protection. |
| Data source | Card identity and rarity from the bundled Pokemon TCG API catalog; pull-rate constants from the live simulator; market price from the bundled TCGplayer snapshot. |
| Update cadence | Regenerated by prerender; price values update when the TCGplayer snapshot is refreshed through the data pipeline. |
| Limitations | The page estimates probability and raw market cost only; it does not model grading premiums, counterfeit risk, sealed-product appreciation, or individual print-run collation. |
This page answers exactly one question: how many Mega Evolution booster packs does it take to pull Mega Lucario ex #188? The numbers below come from the same per-rarity pull-rate model the PackRip Mega Evolution simulator runs on, mirrored from packGenerator.ts. TCGplayer pricing refreshes every build, so the buy-vs-rip verdict at the bottom reflects current market.
The math: ~1 in 71 per pack
Mega Lucario ex sits in the Hyper Rare rare-slot pool for Mega Evolution. There are 2 Hyper Rare cards in the Mega Evolution pool, and the Hyper Rare slot fires with probability 2.80% per pack. Since the slot is split evenly across the 2 cards in that tier, the per-pack chance of pulling this specific card is 1 in 71 — approximately 1 in 71.
Pulls are independent and identically distributed, so the number of packs until you hit Mega Lucario ex follows a geometric distribution with parameter p = 0.014000. The expected number of packs is 1/p — that's ~72 packs on average. But "average" hides huge variance: the median pull lands faster than the mean (~50 packs at 50% confidence), and a long unlucky tail can stretch the wait dramatically. The 95% confidence band — 213 packs — is where 95% of pull-runs finish; the remaining 5% take even longer.
Concretely: if 100 collectors each opened Mega Evolution packs until they pulled Mega Lucario ex, roughly 50 of them would have it by pack 50, 95 of them would have it by pack 213, and a handful would still be chasing past that. Expected ≠ guaranteed; the geometric distribution is famously long-tailed on the right side.
Confidence bands — packs vs cumulative probability
| P(pulled by N packs) | Packs needed | Sealed cost at $5/pack |
|---|---|---|
| 10% | 8 packs | ~$40 sealed cost |
| 25% | 21 packs | ~$105 sealed cost |
| 50% | 50 packs | ~$250 sealed cost |
| 75% | 99 packs | ~$495 sealed cost |
| 90% | 164 packs | ~$820 sealed cost |
| 95% | 213 packs | ~$1,065 sealed cost |
| 99% | 327 packs | ~$1,635 sealed cost |
Read this table as "what fraction of openers have pulled Mega Lucario ex by pack N?". A 25% band of 21 packs means a quarter of openers hit it inside that window; 99% means almost everyone has hit it by pack 327. The dollar column anchors the variance to real-world sealed-pack cost at $5/pack.
Cheaper to buy Mega Lucario ex as a single?
Buying Mega Lucario ex as a single (~$266.11) edges out pack-ripping on raw cost. Pack-rip expected value is ~$357 for this specific pull.
Pack-rip expected dollar cost for this specific card: ~$357 at $5 per Mega Evolution pack. Compare to $266.11 for the single on TCGplayer (Unlimited / non-graded copy at current market). The single buy obviously delivers exactly this card; the pack-rip approach delivers Mega Lucario ex plus the remaining 9 cards in every pack along the way — which is why the EV calculator at /ev/me1 spreads the cost across the whole pack contents instead of pinning it to one card.
About Mega Lucario ex (Mega Evolution)
Mega Lucario ex is a Hyper Rare card from Mega Evolution, the 2025 Pokémon TCG expansion. Mega Evolution (September 2025) is the first set of the Mega Evolution series at 188 cards and revives Mega Evolution for the modern game as Mega Pokemon ex — two-Prize ex Pokemon that Mega Evolve to enormous HP. Mega Lucario ex, Mega Gardevoir ex, Mega Venusaur ex and Mega Kangaskhan ex headline a roster carried by Double Rare ex cards, Illustration Rare and Special Illustration Rare art chases, and the new gold Mega Hyper Rare top tier. Pack composition is the 10-card modern layout (1 Rare + 3 Uncommon + 4 Common + 1 Energy + 1 Reverse Holo).
This specific card ranks as one of the top-3 most valuable pulls in Mega Evolution by TCGplayer market value, which is part of why the chase math is what it is — high market value tends to track with rarity-tier depth, since lower pool sizes concentrate value into fewer cards. The complete top-25 Mega Evolution ranking shows where Mega Lucario ex sits relative to the rest of the chase pool.
Pull odds in context
For reference, a "1 in 71" pull is roughly comparable to a moderate chase — you should expect to crack a couple of boxes. The variance is the killer: any one pack could be the one. The simulation on PackRip's Mega Evolution opener uses the same exact RNG model, so you can stress-test the wait curve without spending real money.
Related chases
- Mega Lucario ex — Special Illustration Rare, $241.56 market
- Mega Gardevoir ex — Hyper Rare, $226.48 market
- All Mega Lucario ex printings across 3 sets
- All top-25 Mega Evolution chases
- Complete the Mega Evolution binder — full calculator
Open Mega Evolution free
Rip Mega Evolution packs free on PackRip's simulator with the same per-rarity pull rates this page is built from. The Hunt Pack mode boosts the Hyper Rare slot if you specifically want to optimise for Mega Lucario ex-tier pulls. Coin economy is virtual — no real money on the line.
Strategy: optimising the Mega Lucario ex chase
Every experienced Mega Evolution hunter eventually picks one of three approaches for a specific chase card. The cheapest is the snipe: skip pack-ripping entirely, set a TCGplayer alert at or below the current $266.11 market, and wait for a motivated seller. This is the route most efficient-frontier collectors take when the chase is locked behind a deep rarity tier — and the math above shows why. The expected pack-rip cost ($357) is typically multiples of the single price, and the variance on that expectation is wide enough that a single bad streak can blow past the 95% confidence bound. The single buy is dollar-for-dollar cheaper and emotionally cheaper too — no more refreshing pack-pull videos at 3am.
The middle path is the box-rip-then-snipe: open a sealed booster box of Mega Evolution (typically 36 packs for vintage sets), enjoy the experience, then if you didn't hit Mega Lucario ex in the box, buy the single for $266.11. A 36-pack box delivers a probability of 1 − (1 − p)36 ≈ 39.8% of pulling Mega Lucario ex at least once, where p is the per-pack hit rate of 0.014000. So a sealed box gives you roughly a 40% chance of hitting this card "for free" alongside the rest of the box contents, plus the rip experience. If you miss, you backstop by buying the single — total worst-case cost is the box price plus the single. Most rational hobbyists end here.
The expensive path is pure-rip-to-pull: keep opening packs until Mega Lucario ex appears. The expected total cost is ~$357, but the 95th percentile pushes that to ~$1,065. Almost nobody who does this comes out ahead financially — but it produces the binder story, the YouTube content, and the cumulative pulls of the entire pack contents along the way. If your real goal is collecting all of Mega Evolution, not just acquiring Mega Lucario ex, the pure-rip path has an internal logic the singles path doesn't.
Variance is the entire story
Here's a concrete illustration of how wild the geometric distribution gets at low p. Consider 10 hypothetical openers all chasing Mega Lucario ex from Mega Evolution. Mathematically, you'd expect their results to cluster near the 72-pack expectation — but they won't. Roughly 5 will pull Mega Lucario ex within the first 50 packs and feel lucky. Roughly 3 will pull between 50 and 72 packs and feel "about average". And roughly 2 will be still pulling past pack 72, with one of them potentially stretching past the 95% bound of 213. The unlucky ones will swear the simulator is rigged, the rates are wrong, or that they have terrible RNG — but the math says exactly this distribution should happen every time. The geometric distribution has no memory: each pack is an independent draw, and a 100-pack dry streak does not increase the odds of the next pack hitting.
How Mega Lucario ex compares to the broader Mega Evolution chase pool
Mega Lucario ex sits in the Hyper Rare tier of Mega Evolution's rare-slot pool. 2 cards share this tier, and the tier itself fires roughly 2.80% of the time per pack. That means the per-pack chance of pulling any Hyper Rare card (not just Mega Lucario ex) is 2.80%, which makes the expected wait for any Hyper Rare card much shorter than the wait for this specific one. Pull-rate intuition: a single chase from a 6-card tier is 6× rarer than the tier itself. The deeper the pool, the longer the chase. This is also why "wide" sets with many chase cards in a single tier feel grindier per individual card despite the tier hit rate being identical — a thicker tier dilutes each card's specific share.
If your real goal is "any chase card from Mega Evolution" rather than "Mega Lucario ex specifically", the math gets dramatically friendlier — the wait drops to ~36 packs on average for the tier as a whole. Most binder collectors approach it this way: chase the tier broadly across multiple sets, accept whatever pulls, and snipe the specific holes via TCGplayer later. Targeting one card from a thick tier is the most expensive way to play the chase, and Mega Lucario ex is no exception.