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GuideMar 25, 2026 · 14:30 CET

How Expected Value Actually Works

The math behind pack opening, explained simply. Why a €400 card might barely move your EV.

Everyone in the Pokémon TCG space talks about "expected value." Most people use it wrong. They spot a €300 chase card and assume the set must be incredible to open. It doesn't work that way.

Here's what EV actually means, how the math works, and how to use it to pick smarter packs.

What Is Expected Value?

Expected Value is the average value you'd pull from a single pack if you opened an infinite number of them. It's a statistical average, not a promise.

The formula for one rarity tier:

EV contribution = (1 ÷ pull rate) × (average card value in that tier)

Calculate this for every rarity tier, add them up, and you've got the card value per pack.

A Real Example: Ascended Heroes

Ascended Heroes

Let's run through it with simplified numbers from Ascended Heroes.

Double Rarepull rate: 1 in 5 · 38 cards in tier · avg value ~€1.50 · EV contribution: €0.30
Ultra Rarepull rate: 1 in 21 · 14 cards · avg value ~€4 · EV contribution: €0.19
Illustration Rarepull rate: 1 in 9 · 33 cards · avg value ~€8 · EV contribution: €0.89
MARpull rate: 1 in 29 · 7 cards · avg value ~€15 · EV contribution: €0.52
Special Illustration Rarepull rate: 1 in 70 · 22 cards · avg value ~€50 · EV contribution: €0.71
Mega Hyper Rarepull rate: 1 in 540 · 2 cards · avg value ~€350 · EV contribution: €0.65

Total EV per pack ≈ €3.26

These numbers are simplified to illustrate the concept. Real prices move daily on Cardmarket and TCGPlayer. Check the live calculator for current values.

Why a €400 Card Barely Matters

This is where it gets interesting. Those Mega Hyper Rares are worth €350+, but they only add €0.65 to your per-pack EV. You'll pull one roughly once every 540 packs — about 15 booster boxes.

The Illustration Rares tell a different story. At "only" €8 average, they contribute €0.89 per pack because you actually pull them. One every 9 packs.

Frequency beats magnitude, every time. A rarity tier with decent value and a high pull rate will always matter more than one chase card buried behind terrible odds.

The Variance Problem

EV gives you the average. It doesn't tell you what happens when you open one box. That gap is variance, and it's why pack opening feels like gambling.

Say a set has €3.50 EV per pack and you buy a booster box (36 packs). On paper, that's €126 of card value. If you paid €105 for the box, sounds decent.

In practice, most of your value comes from 2 or 3 key pulls. Hit a SIR and you're well above EV. Miss, and you're probably sitting at €40 to €60 total, well below what you paid.

Your odds of pulling at least one SIR from a single booster box:

Standard SV rate (1-in-86), 36 packsabout 34%
Prismatic Evolutions rate (1-in-45), 36 packsabout 55%
Illustration Rare rate (1-in-9), 36 packsabout 98%

This is why sets with generous IR and DR pull rates feel so much better to open. You hit something in almost every box. Consistency beats ceiling.

EV by Product Type

The product you buy matters just as much as the set you pick. The key number is cost per pack.

Booster Box36 packs · varies by set · lowest cost per pack for main sets
Elite Trainer Box9 packs · includes accessories · higher cost per pack

Poster Collection — 10 packs — includes promo — good value for special sets

3-Pack Blister — 3 packs — ~€14 MSRP — decent at retail

Single Pack — 1 pack — varies — sometimes the best deal for premium sets

Prices vary wildly by set. A PRE single pack is €9.60, while a Perfect Order booster is €2.95. Always check the live prices on PackVerdict for current cost per pack.

The cheapest pack wins on pure EV. But ETBs tend to appreciate faster as sealed product. If you're holding and not opening, the ETB is the better long-term play because of its collector-friendly packaging.

When Is a Set Worth Opening?

A set is EV positive when card value per pack exceeds cost per pack. In practice, this is rare at secondary market prices.

At MSRP (€4-5 per pack): several sets are EV positive, including 151 (€6.14 card EV), Evolving Skies (€4.47), and many SWSH/SM sets.

At market prices: almost everything is negative EV. You're paying a premium for sealed product that exceeds the card value inside.

The takeaway: if you can find packs at or near MSRP, the math can work in your favor. At secondary market prices, you're paying for the experience.

Singles vs. Sealed

If you want a specific card, buying the single is almost always cheaper than chasing it through packs.

The Umbreon ex SIR from Prismatic Evolutions costs about €840 on Cardmarket. To get a 50% chance of pulling that exact card, you'd need around 1,440 packs. At €9.60 per pack, that's €13,824.

Pack opening is entertainment. EV helps you pick which entertainment gives the best return, but it's not an investment strategy. The math doesn't lie.

Using the PackVerdict Calculator

Every set page on PackVerdict has a live EV calculator. It pulls daily prices from Cardmarket, applies verified pull rates for each rarity tier, and shows the card value per pack alongside the current market pack price.

Pick your set, check the numbers, and know what you're getting into before you rip.

Try it yourself

Ascended HeroesAscended Heroes →Prismatic EvolutionsPrismatic Evolutions →Perfect OrderPerfect Order →
Prices based on Cardmarket NM English as of Mar 25, 2026 · 14:30 CET. Pull rates from community-verified data. Visit PackVerdict for live calculations.

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