How many mystery packs do I need to open before my results mean anything?

Between about 77 and 231 rips of the same pack, depending on how volatile that pack is. Pokémon Starter Pack has a coefficient of variation of 0.45 and needs 77 rips to pin its average within 10%; Pokémon Ultra (Spicy) at 0.77 needs 231. Below roughly 30 rips your personal average tells you almost nothing about the pack.

Why does my pack average look nothing like the published EV?

Because you have a small sample of a long-tailed distribution. With ten rips, the range of averages you could plausibly see spans most of the pack's value range. The published EV is not wrong and your results are not unlucky — ten observations simply cannot distinguish the two.

How many pulls does PullValue need before publishing a verdict?

We refuse any verdict below 5 indexed pulls and label anything under 30 as a provisional early read. The honest confidence threshold is higher still: 77 pulls on a low-variance pack and over 200 on a volatile one. Every pack page prints its sample size so you can judge the number by the evidence behind it.

What is coefficient of variation and why does it matter here?

It is the standard deviation divided by the mean — a measure of spread that is comparable across packs at different prices. A $25 pack and a $500 pack cannot be compared on standard deviation alone, but they can on CV. It is the input that decides how many observations any average needs.

Why does wanting twice the precision cost four times as much?

Because sample size scales with the square of precision. In n = (1.96 × CV ÷ margin)², halving the margin quadruples n. Moving from a ten percent confidence interval to a five percent one on Pokémon Starter Pack goes from 77 rips to 308. That quadratic is why statistical confidence about a pack gets expensive faster than most people expect.

Is a pack with a small sample size a bad pack?

No — it is an unknown pack, which is different. A thin sample means the published figure carries a wide confidence interval, not that the underlying pack is poor. It could be better or worse than it currently looks. That is why we label anything under thirty pulls as provisional rather than hiding it or presenting it as settled.

Does opening more packs improve my odds?

No. Each rip is independent, so more packs do not make any single one more likely to hit. What more packs do is make your realised average converge toward the pack's true expectation — which on most Courtyard packs means converging toward a loss, faster and more reliably.

How many packs until the EV is real?

By PullValue Research · Updated September 18, 2026 · Numbers computed per our methodology

“How many packs do I need to open before my results mean anything?” is asked constantly and almost never answered with a number. It has one. The moment you know a pack's variance it is a solved problem, and we know the variance of every pack we track.

The answer, for a typical Courtyard pack, is between 77 and 231 rips. Most people open fewer than twenty.

Rips to pin Pokémon Starter Pack within 10%

231

Rips needed for Pokémon Ultra (Spicy)

6,004

Rips to pin the whole catalogue

Where we start calling a number provisional

The arithmetic, in one line

To know an average within a margin you need n = (1.96 × CV ÷ margin)², where CV is the coefficient of variation — the standard deviation divided by the mean. The 1.96 is the 95% confidence multiplier. That is the entire formula, and every input is measurable from indexed pulls.

How many rips each pack actually needs

Plugging real variances in gives real answers, and they differ by a factor of three between packs that look similar on a product page.

Fig. 1

Rips needed to pin a pack's average within ±10%, at 95% confidence

n = (1.96 × CV ÷ 0.10)². CV measured from every indexed pull for each pack. Catalogue-wide CV is 3.95, hence 6,004. Measured 18 September 2026.

Pokémon Starter Pack is the most predictable pack we track, at CV 0.45. It needs 77 rips. Pokémon Ultra (Spicy), at CV 0.77, needs 231 — three times as many, for the same confidence, because its outcomes are spread over a far wider range.

Note what this does not say. It does not say a volatile pack is worse. It says a volatile pack takes longer to be sure about — for you and for us.

Why the whole catalogue needs 6,004

Measured across every pack together, the catalogue's coefficient of variation is 3.95 — a mean of $66.24 against a standard deviation of $261.86. The spread is four times the average.

Run that through the formula and pinning the catalogue-wide mean within ±10% takes 6,004 pulls. Within ±5% it takes 24,014. Even ±20% needs 1,501.

This is the strongest argument against any single “Courtyard average”. Individual packs behave far better than the catalogue does, which is exactly why we publish 51 separate per-pack figures rather than one platform number — a platform number would need six thousand pulls to mean anything and would still describe no pack anybody can actually buy.

What this says about our own verdicts

It would be inconsistent to publish this and not apply it to ourselves. PullValue refuses any verdict below 5 indexed pulls and marks anything under 30 as a provisional early read. Both thresholds are lower than the numbers above, and that is a deliberate trade rather than an oversight: a well-labelled early read is more useful than silence, provided the label is honest.

The clearest case in the catalogue right now is Basketball Mythic Pack. It carries a $5,770.39 average — the highest of any pack we track — from 9 indexed pulls. It would need about 208 to be confident in that figure. So the number is real, it is the best estimate available, and it is nowhere near settled. All three of those are true at once, and the sample size printed beside it is what lets you tell.

A worked example, with the numbers filled in

Take Pokémon Starter Pack, the most predictable pack we track. Its mean pull is $24.95 and its coefficient of variation is 0.45. Suppose you want to know its true average within ten percent — that is, to be confident the real figure sits between about $22.45 and $27.45.

Substituting into n = (1.96 × CV ÷ margin)² gives (1.96 × 0.45 ÷ 0.10)² = 77 rips. At $25 a pack, that is $1,925 spent to establish one number — for a pack whose published figure already rests on 6,177 pulls.

Now halve the margin. Wanting ±5% instead of ±10% does not cost twice as much; it costs four times as much, because n scales with the square of the precision you want. That quadratic is why confidence gets expensive so fast, and why sample sizes that feel large — fifty rips, a hundred — still leave wide intervals on a volatile pack.

Run the same calculation on Pokémon Ultra (Spicy) at CV 0.77 and you need 231 rips of a $249 pack — over $57,000. Nobody is doing that, which is precisely why an indexed feed is worth having.

What it means for your own results

Turn the question around. If you have ripped a pack twenty times and your average is well below the published EV, the honest reading is not that the EV is wrong or that you are unlucky. Twenty observations of a CV-0.45 distribution simply cannot tell those apart — the confidence interval on your own average is wide enough to contain both.

Three practical consequences:

1. Do not update your beliefs on ten rips. Not about the pack, not about your luck, not about whether something is rigged. That question is covered in the odds guide, and the answer usually lies here rather than there.

2. Record everything, not the memorable ones. The only way a personal sample becomes usable is if it is complete — which is what the decision journal and portfolio tracker are for.

3. Prefer packs with large published samples. A pack with thousands of indexed pulls is telling you something a pack with thirty cannot, whatever the two headline numbers look like side by side. The sample size is on every rankings row for precisely that reason.

The uncomfortable summary: reaching statistical confidence about a pack costs more than the information is worth to most buyers. Seventy-seven rips of a $25 pack is $1,925 spent to learn something we already publish for free — which is, in the end, the whole argument for reading the number instead of buying it.

Quick answers

How many mystery packs do I need to open before my results mean anything?: Between about 77 and 231 rips of the same pack, depending on how volatile that pack is. Pokémon Starter Pack has a coefficient of variation of 0.45 and needs 77 rips to pin its average within 10%; Pokémon Ultra (Spicy) at 0.77 needs 231. Below roughly 30 rips your personal average tells you almost nothing about the pack.
Why does my pack average look nothing like the published EV?: Because you have a small sample of a long-tailed distribution. With ten rips, the range of averages you could plausibly see spans most of the pack's value range. The published EV is not wrong and your results are not unlucky — ten observations simply cannot distinguish the two.
How many pulls does PullValue need before publishing a verdict?: We refuse any verdict below 5 indexed pulls and label anything under 30 as a provisional early read. The honest confidence threshold is higher still: 77 pulls on a low-variance pack and over 200 on a volatile one. Every pack page prints its sample size so you can judge the number by the evidence behind it.
What is coefficient of variation and why does it matter here?: It is the standard deviation divided by the mean — a measure of spread that is comparable across packs at different prices. A $25 pack and a $500 pack cannot be compared on standard deviation alone, but they can on CV. It is the input that decides how many observations any average needs.
Why does wanting twice the precision cost four times as much?: Because sample size scales with the square of precision. In n = (1.96 × CV ÷ margin)², halving the margin quadruples n. Moving from a ten percent confidence interval to a five percent one on Pokémon Starter Pack goes from 77 rips to 308. That quadratic is why statistical confidence about a pack gets expensive faster than most people expect.
Is a pack with a small sample size a bad pack?: No — it is an unknown pack, which is different. A thin sample means the published figure carries a wide confidence interval, not that the underlying pack is poor. It could be better or worse than it currently looks. That is why we label anything under thirty pulls as provisional rather than hiding it or presenting it as settled.
Does opening more packs improve my odds?: No. Each rip is independent, so more packs do not make any single one more likely to hit. What more packs do is make your realised average converge toward the pack's true expectation — which on most Courtyard packs means converging toward a loss, faster and more reliably.

PullValue is independent and not affiliated with Courtyard. This guide is statistics and education, not financial advice. See live numbers on the pack rankings.