How to Calculate Sealed Booster Box Expected Value
Expected value per pack is the average raw price of each rarity tier divided by that tier's pull rate, summed across every measured tier and multiplied by the pack count, worked here start to finish on a real Surging Sparks box.
A booster box's expected raw-card value is the sum, across every measured rarity tier, of that tier's average raw card price divided by its pull rate in packs, then multiplied by the packs in the box. Run that on Pokemon TCG: Scarlet & Violet-Surging Sparks and one pack returns about $2.07 of expected raw-card value. Scaled to a full 36-pack box, that comes to about $74.39, against a live box price of $303.23 as of September 27, 2026, a ratio of roughly 25 percent.
Everything after this paragraph is the same four-step calculation, worked once in full so it is checkable against its own sources. The two inputs it needs are a published pull rate and a live average price for every rarity tier in the set, and both exist for Surging Sparks.
For one rarity tier, expected value per pack equals that tier's average raw market price divided by its pull rate in packs per hit. Add every tier's contribution together and the sum is the pack's total expected raw-card value. Multiply that by the number of packs in a box, bundle, or case and the result scales to the whole product.
Nothing in that formula is set-specific. What changes from set to set is which two numbers you plug in, and where you get them.
The four steps, at a glance:
Step 1: Find the pull rate for every rarity tier, in packs needed per hit.
Step 2: Find the average raw market price for every card printed at that rarity.
Step 3: Divide price by pull rate for each tier, then add the results.
Step 4: Multiply the per-pack total by the pack count of the product you're pricing.
Step 1: Get each tier's pull rate
TCGplayer's Authentication Center has published pull-rate articles for recent Pokemon sets, built from packs it opened itself rather than from a printed specification. For Surging Sparks, its article published November 8, 2024 reports six tiers measured across more than 8,000 opened packs.
TCGplayer states each rate as a share of packs, such as 16.94 percent for Double rare. The table converts each share to packs per hit, so 1 divided by 0.1694 gives 1 in 5.90.
Rarity tier
Pull rate
Double rare
1 in 5.90 packs
Illustration rare
1 in 13.04 packs
Ultra Rare
1 in 14.84 packs
ACE SPEC Rare
1 in 19.88 packs
Special illustration rare
1 in 86.96 packs
Hyper rare
1 in 188.68 packs
Commons, uncommons, and base Rares are not in this table because TCGplayer's article publishes rates only for these six tiers. On the same September 27, 2026 read, Cardboard Alpha's ledger averaged about $0.10 per common, $0.11 per uncommon and $0.15 per base Rare, so the method below prices the chase tiers only and understates a pack's full listed card value.
Step 2: Get each tier's average raw price
The second input is a live average raw market price for every card printed at that rarity, not the price of any one card in it. Cardboard Alpha's ledger read the same six tiers on September 27, 2026: Double rare $1.27, Illustration rare $8.60, Ultra Rare $3.23, ACE SPEC Rare $1.26, Special illustration rare $70.16, and Hyper rare $19.45.
An average is the only honest input here, because a pack that hits a given rarity can land on any card printed at it, and TCGplayer's own per-card odds assume an equal population of each card at a rarity. A later section shows what that averaging can hide.
Step 3: Divide, then add it up
Divide each tier's average price by its pull rate and the result is that tier's expected contribution to a single pack.
Rarity tier
Pull rate
Avg. raw price
EV per pack
Double rare
1 in 5.90
$1.27
$0.22
Illustration rare
1 in 13.04
$8.60
$0.66
Ultra Rare
1 in 14.84
$3.23
$0.22
ACE SPEC Rare
1 in 19.88
$1.26
$0.06
Special illustration rare
1 in 86.96
$70.16
$0.81
Hyper rare
1 in 188.68
$19.45
$0.10
Added together, those six tiers come to $2.07 of expected raw-card value per pack, or $2.066 before rounding.
Surging Sparks: EV contribution per pack by rarity tier
Double rare0.22USD
Illustration rare0.66USD
Ultra Rare0.22USD
ACE SPEC Rare0.06USD
Special illustration rare0.81USD
Hyper rare0.1USD
TCGplayer pull rates (published 2024-11-08) divided into Cardboard Alpha live raw-price averages, read September 27, 2026.
The Special illustration rare tier contributes the most of any single tier, $0.81, even though it hits less often than every tier except Hyper rare. Its average price is simply high enough to outweigh its rarity.
Step 4: Scale to the product
A pack's EV scales by simple multiplication once you know the pack count of the product being priced.
Single pack: $2.07 expected raw-card value against a live ledger price of $8.41.
Booster Box (36 packs): $74.39 expected raw-card value ($2.066 times 36) against a live ledger price of $303.23.
Both comparisons land at almost the same ratio, about 25 percent, because on this read the box is priced at almost exactly 36 single packs. Neither number says the box is worth opening. It says that if every pull within a rarity tier were equally likely, that is the average raw-card return the math would predict.
The box price itself works out to about $8.42 per pack, $303.23 divided across 36 packs, essentially the same as the $8.41 single-pack market price. On this read, the box carries no meaningful per-pack discount over single packs at market price.
Why one card can swallow the total
The averaging in Step 2 is where this method is most honest about what it does not know. Surging Sparks' Special illustration rare tier holds 11 printings averaging $70.16, but Pikachu ex 238/191 alone carries a live raw price of $281.03, four times the tier average, while Latias ex 239/191 sits at $188.12 and several tier-mates guide under $15.
A single 36-pack box's $74.39 EV is smaller than the price of that one card bought outright. The tier average that feeds the calculation blends a $281.03 outlier together with printings worth a fraction of that, and no box is guaranteed to contain the outlier at all.
What this number does not tell you
The finished calculation answers one specific question, not a broader one about whether a box is a good purchase.
It assumes even odds within a tier. Every printing at a given rarity is treated as equally likely to be pulled, which real packs do not guarantee.
It is not a guaranteed payout. TCGplayer's pull rates are measured from a sample of more than 8,000 opened packs, not a published print specification, and each carries a 95 percent confidence interval.
It prices raw chase-tier cards only. Commons, uncommons, base Rares, graded premiums, sealed-collecting demand, and the value of opening a box on camera are not part of this math.
It is not a forecast. The $303.23 box price and the $8.41 pack price are both dated reads from September 27, 2026, not a prediction of where either will sit later.
None of this rates whether Surging Sparks or any other set is worth buying into, and nothing here is instruction to open or avoid a box. It is one formula, run once, on numbers dated the day they were read.
What two numbers does a booster box EV calculation actually need?
Each rarity tier's pull rate, expressed as packs needed per hit, and that tier's average raw card price. TCGplayer's Authentication Center has published measured pull rates for recent sets, Surging Sparks among them, from packs it opened itself, and Cardboard Alpha's live ledger tracks raw card prices. Without both numbers for the same set, the calculation cannot run.
Why divide by an average price across a whole rarity tier instead of pricing one card?
A pack pulling a hit at a given rarity can land on any card printed at that rarity, not a specific one. Surging Sparks' Special Illustration Rare tier averages $70.16 across 11 printings, but Pikachu ex 238 alone guides at $281.03 while several tier-mates guide under $15, so the average describes the tier, not any single pull.
Are TCGplayer's published pull rates guaranteed odds?
No. TCGplayer's Surging Sparks rates come from more than 8,000 packs its Authentication Center opened ahead of release, not from a published print specification. Each is stated with a 95 percent confidence interval, such as 1.15 percent plus or minus 0.22 percent for Special Illustration Rares, and TCGplayer notes that individual results will vary.
Does a 25 percent EV-to-price ratio mean the box is a good buy?
The ratio describes one set's raw-card math on one dated read, nothing more. It is not investment guidance, it does not predict what the box or its cards will be worth later, and it says nothing about a specific pack, since real pulls do not land on the tier average.
Sources
Pokemon TCG: Surging Sparks Pull Rates, TCGplayer (Authentication Center) Official / primary source · accessed September 27, 2026
Ryan Shugars is an avid Pokémon card collector who builds the market-data tooling behind Cardboard Alpha. He collects across multiple eras, tracks population reports and price movement as a matter of habit, and started building Cardboard Alpha to get a straight answer to questions the existing price guides couldn't: what's actually trading, what's just an asking price, and what a grade is really worth on a given card right now. He writes from that same collector's vantage point, close to the data, skeptical of hype, and always checking a claim against the ledger before it goes in an article.
Ryan Shugars is a collector and the builder of Cardboard Alpha's data systems, not a licensed financial advisor. Articles he writes or edits describe market history and mechanics; they are informational and are not personalized investment advice.
