Sealed product & breaks
Pull Rate Calculator
A 1-in-200 pull rate does not mean you get one in 200 packs. This works out what the odds actually are over any number of packs, how many packs it takes for the chance to reach a coin flip, and what that many packs costs — the three numbers that turn a printed pull rate into a decision.
Why "one in 200" is not "one every 200"
Packs have no memory. Each one is an independent draw at the same odds, so the chance of
missing entirely after 200 packs at a 1-in-200 rate is
(199/200)200, which is about 36.7%. Open exactly
the number of packs the odds are quoted at, and you still fail more than a third of the
time. That figure converges on 1/e — roughly 36.8% — for any long-odds rate, which is why
it feels the same whether you are chasing a 1-in-50 or a 1-in-5,000 card.
The number worth internalising
The median is not the mean. At a 1-in-200 rate you need about 139 packs for a coin-flip chance of a single hit, but 460 packs to be 90% sure of one. That last stretch — from a coin flip to near-certainty — costs more than three times what the first half did, and it is where sealed-product budgets go to die.
Where printed odds mislead
- Odds are usually per box or per case, not per pack. "One per box" means a guaranteed slot, which is a different mathematical object from a probability. This calculator models independent per-pack draws.
- Collation is not random. Manufacturers distribute hits across a print run so a sealed case contains a designed spread. Buying a full sealed case behaves differently from buying the same number of loose packs.
- Searched packs exist. Loose packs from an unreliable source have already had the odds removed from them. Weight-based searching is a real practice.
- "One in 200" often covers a group. If the rate is for any card in a 15-card subset, your specific card is at 1 in 3,000.
Questions people ask about this
If the pull rate is 1 in 200, how many packs do I need?
About 139 packs for a 50% chance and 460 for a 90% chance. Opening exactly 200 gives you roughly a 63% chance of at least one — and a 37% chance of nothing at all. There is no number of packs that guarantees the pull, because each pack is an independent draw.
Does opening more packs improve my odds?
It improves the cumulative odds across the session, but not the odds of any individual pack, which stay exactly the same. This is the distinction behind the gambler's fallacy: a hundred misses in a row does not make the hundred-and-first pack more likely to hit.
Is it cheaper to buy the card than chase it?
Almost always for a specific card. Multiply the packs needed for a 50% chance by the pack price: at a 1-in-200 rate and $4.50 a pack, that is about $625 for coin-flip odds. Very few chase cards sell for more than that, and buying one costs $625 once rather than on average.
What are the odds of pulling two of the same card?
Far worse than twice as hard. At a 1-in-200 rate over 200 packs, the chance of at least one is 63% but the chance of at least two is only 26%. The calculator handles this — set the number of copies you want and it computes the full binomial rather than doubling the single-copy figure.
Where these numbers come from
Rates on this page were last checked against the published price lists on . Grading companies change fees and pause tiers without notice — confirm the total on the submission form before you pay.
- Binomial distribution — the model behind every figure on this page; no external data is used