How Many Packs to Pull Umbreon from Aquapolis

Umbreon chase methodology

This page answers exactly one question: how many Aquapolis booster packs does it take to pull Umbreon #H29? The numbers below come from the same per-rarity pull-rate model the PackRip Aquapolis 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 91 per pack

Umbreon sits in the Rare Holo rare-slot pool for Aquapolis. There are 32 Rare Holo cards in the Aquapolis pool, and the Rare Holo slot fires with probability 35.00% per pack. Since the slot is split evenly across the 32 cards in that tier, the per-pack chance of pulling this specific card is 1 in 91 — approximately 1 in 91.

Pulls are independent and identically distributed, so the number of packs until you hit Umbreon follows a geometric distribution with parameter p = 0.010938. The expected number of packs is 1/p — that's ~92 packs on average. But "average" hides huge variance: the median pull lands faster than the mean (~64 packs at 50% confidence), and a long unlucky tail can stretch the wait dramatically. The 95% confidence band — 273 packs — is where 95% of pull-runs finish; the remaining 5% take even longer.

Concretely: if 100 collectors each opened Aquapolis packs until they pulled Umbreon, roughly 50 of them would have it by pack 64, 95 of them would have it by pack 273, 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

Read this table as "what fraction of openers have pulled Umbreon by pack N?". A 25% band of 27 packs means a quarter of openers hit it inside that window; 99% means almost everyone has hit it by pack 419. The dollar column anchors the variance to real-world sealed-pack cost at $5/pack.

Cheaper to buy Umbreon as a single?

Pack-ripping breaks even or beats singles on raw cost for Umbreon — but you'd absorb the rest of the pack contents along the way. Most hunters still mix: rip for the experience, buy the single if RNG turns sour.

Pack-rip expected dollar cost for this specific card: ~$457 at $5 per Aquapolis pack. Compare to $1252.62 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 Umbreon plus the remaining 8 cards in every pack along the way — which is why the EV calculator at /ev/ecard2 spreads the cost across the whole pack contents instead of pinning it to one card.

About Umbreon (Aquapolis)

Umbreon is a Rare Holo card from Aquapolis, the 2003 Pokémon TCG expansion. Aquapolis (2003) is where the Crystal tier begins. Exactly three cards carry the Crystal rarity — Kingdra #148, Lugia #149 and Nidoking #150 — and the engine pulls them from a 1 percent slice of the rare slot, the narrowest tier it models. Aquapolis also runs a 32-card H-numbered holo subset (H1 through H32) parallel to the main 182-card list, which is where Umbreon #H29, Suicune #H25 and Tyranitar #H28 live.

This specific card ranks as one of the top-3 most valuable pulls in Aquapolis 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 Aquapolis ranking shows where Umbreon sits relative to the rest of the chase pool.

Pull odds in context

For reference, a "1 in 91" 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 Aquapolis opener uses the same exact RNG model, so you can stress-test the wait curve without spending real money.

Related chases

• Lugia — Crystal, $2225.00 market
• Nidoking — Crystal, $600.00 market
• All Umbreon printings across 17 sets
• All top-25 Aquapolis chases
• Complete the Aquapolis binder — full calculator

Open Aquapolis free

Rip Aquapolis packs free on PackRip's simulator with the same per-rarity pull rates this page is built from. The Hunt Pack mode boosts the Rare Holo slot if you specifically want to optimise for Umbreon-tier pulls. Coin economy is virtual — no real money on the line.

Strategy: optimising the Umbreon chase

Every experienced Aquapolis 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 $1252.62 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 ($457) 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 Aquapolis (typically 36 packs for vintage sets), enjoy the experience, then if you didn't hit Umbreon in the box, buy the single for $1252.62. A 36-pack box delivers a probability of 1 − (1 − p)³⁶ ≈ 32.7% of pulling Umbreon at least once, where p is the per-pack hit rate of 0.010938. So a sealed box gives you roughly a 33% 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 Umbreon appears. The expected total cost is ~$457, but the 95th percentile pushes that to ~$1,365. 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 Aquapolis, not just acquiring Umbreon, 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 Umbreon from Aquapolis. Mathematically, you'd expect their results to cluster near the 92-pack expectation — but they won't. Roughly 5 will pull Umbreon within the first 64 packs and feel lucky. Roughly 3 will pull between 64 and 92 packs and feel "about average". And roughly 2 will be still pulling past pack 92, with one of them potentially stretching past the 95% bound of 273. 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 Umbreon compares to the broader Aquapolis chase pool

Umbreon sits in the Rare Holo tier of Aquapolis's rare-slot pool. 32 cards share this tier, and the tier itself fires roughly 35.00% of the time per pack. That means the per-pack chance of pulling any Rare Holo card (not just Umbreon) is 35.00%, which makes the expected wait for any Rare Holo 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 Aquapolis" rather than "Umbreon specifically", the math gets dramatically friendlier — the wait drops to ~3 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 Umbreon is no exception.