How Many Packs to Pull Magikarp from Paldea Evolved
| Card | Magikarp — Paldea Evolved #203 |
|---|---|
| Rarity tier | Illustration Rare |
| Per-pack odds | 1 in 647 |
| Expected packs to pull | 648 |
| 50% confidence band | 449 packs |
| 95% confidence band | 1,939 packs |
| TCGplayer market | $403.55 |
| Pack-rip break-even | 81 packs @ $5 |
Magikarp chase methodology
| Formula | Specific-card odds = Illustration Rare tier rate (5.56%) ÷ 36 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 Paldea Evolved booster packs does it take to pull Magikarp #203? The numbers below come from the same per-rarity pull-rate model the PackRip Paldea Evolved 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 647 per pack
Magikarp sits in the Illustration Rare rare-slot pool for Paldea Evolved. There are 36 Illustration Rare cards in the Paldea Evolved pool, and the Illustration Rare slot fires with probability 5.56% per pack. Since the slot is split evenly across the 36 cards in that tier, the per-pack chance of pulling this specific card is 1 in 647 — approximately 1 in 647.
Pulls are independent and identically distributed, so the number of packs until you hit Magikarp follows a geometric distribution with parameter p = 0.001544. The expected number of packs is 1/p — that's ~648 packs on average. But "average" hides huge variance: the median pull lands faster than the mean (~449 packs at 50% confidence), and a long unlucky tail can stretch the wait dramatically. The 95% confidence band — 1,939 packs — is where 95% of pull-runs finish; the remaining 5% take even longer.
Concretely: if 100 collectors each opened Paldea Evolved packs until they pulled Magikarp, roughly 50 of them would have it by pack 449, 95 of them would have it by pack 1,939, 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% | 69 packs | ~$345 sealed cost |
| 25% | 187 packs | ~$935 sealed cost |
| 50% | 449 packs | ~$2,245 sealed cost |
| 75% | 897 packs | ~$4,485 sealed cost |
| 90% | 1,490 packs | ~$7,450 sealed cost |
| 95% | 1,939 packs | ~$9,695 sealed cost |
| 99% | 2,980 packs | ~$14,900 sealed cost |
Read this table as "what fraction of openers have pulled Magikarp by pack N?". A 25% band of 187 packs means a quarter of openers hit it inside that window; 99% means almost everyone has hit it by pack 2,980. The dollar column anchors the variance to real-world sealed-pack cost at $5/pack.
Cheaper to buy Magikarp as a single?
Buying Magikarp as a single on TCGplayer (~$403.55) is dramatically cheaper than chasing it through packs — the expected pack-rip cost is roughly $3237, well above the market price.
Pack-rip expected dollar cost for this specific card: ~$3,237 at $5 per Paldea Evolved pack. Compare to $403.55 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 Magikarp plus the remaining 9 cards in every pack along the way — which is why the EV calculator at /ev/sv2 spreads the cost across the whole pack contents instead of pinning it to one card.
About Magikarp (Paldea Evolved)
Magikarp is a Illustration Rare card from Paldea Evolved, the 2023 Pokémon TCG expansion. Paldea Evolved (2023) is a 279-card set with 49 ex cards. Its Illustration Rare tier is 36 cards and its Special Illustration Rare tier 15 — both roughly half again what the base set carried. Grass and Water lead the types at 38 and 35. Ninety-four illustrators contributed.
This specific card ranks as one of the top-3 most valuable pulls in Paldea Evolved 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 Paldea Evolved ranking shows where Magikarp sits relative to the rest of the chase pool.
Pull odds in context
For reference, a "1 in 647" pull is roughly comparable to a deep chase — multi-box territory, often case-level commitment. The variance is the killer: any one pack could be the one. The simulation on PackRip's Paldea Evolved opener uses the same exact RNG model, so you can stress-test the wait curve without spending real money.
Related chases
- Raichu — Illustration Rare, $116.91 market
- Maushold — Illustration Rare, $107.81 market
- All Magikarp printings across 36 sets
- All top-25 Paldea Evolved chases
- Complete the Paldea Evolved binder — full calculator
Open Paldea Evolved free
Rip Paldea Evolved packs free on PackRip's simulator with the same per-rarity pull rates this page is built from. The Hunt Pack mode boosts the Illustration Rare slot if you specifically want to optimise for Magikarp-tier pulls. Coin economy is virtual — no real money on the line.
Strategy: optimising the Magikarp chase
Every experienced Paldea Evolved 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 $403.55 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 ($3,237) 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 Paldea Evolved (typically 36 packs for vintage sets), enjoy the experience, then if you didn't hit Magikarp in the box, buy the single for $403.55. A 36-pack box delivers a probability of 1 − (1 − p)36 ≈ 5.4% of pulling Magikarp at least once, where p is the per-pack hit rate of 0.001544. So a sealed box gives you roughly a 5% 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 Magikarp appears. The expected total cost is ~$3,237, but the 95th percentile pushes that to ~$9,695. 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 Paldea Evolved, not just acquiring Magikarp, 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 Magikarp from Paldea Evolved. Mathematically, you'd expect their results to cluster near the 648-pack expectation — but they won't. Roughly 5 will pull Magikarp within the first 449 packs and feel lucky. Roughly 3 will pull between 449 and 648 packs and feel "about average". And roughly 2 will be still pulling past pack 648, with one of them potentially stretching past the 95% bound of 1,939. 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 Magikarp compares to the broader Paldea Evolved chase pool
Magikarp sits in the Illustration Rare tier of Paldea Evolved's rare-slot pool. 36 cards share this tier, and the tier itself fires roughly 5.56% of the time per pack. That means the per-pack chance of pulling any Illustration Rare card (not just Magikarp) is 5.56%, which makes the expected wait for any Illustration 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 Paldea Evolved" rather than "Magikarp specifically", the math gets dramatically friendlier — the wait drops to ~18 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 Magikarp is no exception.