Booster Box Expected Value Calculator: Is the Box Worth Opening?
Booster box EV from pull rates and card prices: expected value per box and per pack, net value after selling fees, the typical (median) box, the chance a box returns its price, odds of each chase tier and of one specific card per box or case, and the break-even box price.
How it works
EV per pack = Σ (tier value ÷ packs per hit) + bulk per pack · EV per box = EV per pack × packs · net EV = EV × (1 − selling costs) · P(at least one hit in n packs) = 1 − (1 − 1/rate)^n · packs for 90% = ln(0.1) ÷ ln(1 − 1/rate) · hits per box ~ Binomial(packs, 1/rate) for the median and the spread
A booster box is a lottery with published or well-sampled odds. Its expected value (EV) is each chase card’s price divided by the number of packs it takes to find one, summed over the tiers, plus the small, near-certain value of the rest of each pack. Comparing the EV with the box price says whether opening or buying singles is the cheaper way to the cards. Enter pull rates as "1 in N packs": the publisher’s stated odds, or community data from large openings; enter values as recent sold prices, not asking prices. The average hides the spread. Because most of the value sits in rare hits, the typical (median) box is usually worth well below the EV, and many boxes contain no top-tier card at all. The calculator models the number of hits of each tier in a box as a binomial count, which gives the median box, the 10th to 90th percentile range and the chance that a box returns its price, at market value and after selling costs (marketplace fees run about 10–15% before shipping and price cuts). Through 2026 most modern sets have traded at roughly 30–80% of the sealed price in after-fee pull value; boxes beat singles mainly at pre-order prices or early in a hyped release. If you want one specific card, the odds are usually so long that buying the single is far cheaper; the difference is what the fun of opening costs.
Worked example
Default box: 36 packs at $140; tier 1 at 1 in 288 packs worth $300 ($1.0417 per pack), tier 2 at 1 in 24 worth $18 ($0.75), tier 3 at 1 in 4 worth $2 ($0.50) and $0.40 of bulk. EV per pack = $2.6917, so the box EV is $2.6917 × 36 = $96.90, 69% of the price, and $77.52 (55%) after 20% selling costs. Only 12% of boxes hold a tier 1 card (1 − (287/288)^36 = 11.8%), so the median box is only about $60 (43% of the price) and 12.0% of boxes are worth $140 or more. A specific 1-in-1,200 card appears in 3.0% of boxes (16% of 6-box cases), and 90% certainty takes about 76.7 boxes, roughly $10,780.
Sources: Pokémon Price Tracker: booster box EV guide 2026 (pull-rate tiers, fees, bulk) · Gamer Tweak: is that Pokémon booster box worth opening? (pull value after fees, Oct 2026) · Cardmarket Insight: box math, the expected value of a set
Frequently asked questions
How do you calculate the expected value of a booster box?
For each rarity tier, divide the average card value by the number of packs per hit to get its value per pack, add those up with the bulk value per pack, and multiply by the packs in the box. Compare the result with the box price, and take off selling costs if you plan to sell the pulls.
Why is EV usually below the box price?
Sealed product is priced on demand, collecting and the chance of a big hit, while singles prices fall after release as more product is opened. Pre-order windows and under-priced older product are the main exceptions; a steady-state EV well under the box price is normal.
Why is my box worth less than the expected value?
Because the average includes the rare boxes that hit a top chase card. Most boxes miss it, so the median box sits well below the EV. Opening several boxes narrows the spread but does not raise the average per pack.
Should I open a case instead of a box?
A case only averages out variance; it does not raise EV per pack. Some products have guaranteed hits per box or case, which narrows the spread; check the publisher’s distribution notes.
Where do I find pull rates?
Some publishers print or post the odds; otherwise use community data from large openings and price trackers. Treat community rates as estimates; they can shift with print runs.
Related calculators
Probability and rule-of-thumb figures for card games, tabletop and collecting hobbies. Game rules, product pull rates, grading standards and market prices change — treat outputs as planning estimates, not guarantees.