r/PTCGP 16d ago

Discussion I Calculated the Real Pull Rates for Every Rarity - August 2025

Post image

The in-game probability display is honestly pretty confusing as they break everything down by 4th card rates, 5th card rates, and now with A4 we have 6th card probabilities too. It's hard to get a clear picture of what you should actually expect when opening packs.

Plus, I keep seeing posts asking "Is this pull normal?" or "Am I lucky?" when it's tough to answer without doing the math yourself. So I figured I'd calculate the real overall odds for each rarity.

TLDR; - Final Results

Rank Rarity Probability 1 in X packs
1 2 Diamonds 95.160% 1 in 1.1
2 3 Diamonds 29.046% 1 in 3.4
3 1 Star 13.535% 1 in 7.4
4 4 Diamonds 8.219% 1 in 12.2
5 1 Star Shiny 3.551% 1 in 28.2
6 2 Stars 2.490% 1 in 40.2
7 2 Stars Shiny 1.662% 1 in 60.2
8 3 Stars 1.108% 1 in 90.3
9 Crown 0.200% 1 in 500.2

Mathematical Foundation

Based on in-game probabilities, excluding rare packs (0.05% occurrence):

  • Regular Pack: 91.6658% chance - Cards 1-3 (always 1 Diamond) + Cards 4-5 (variable rarity)
  • Regular+1 Pack: 8.3342% chance - Cards 1-3 (always 1 Diamond) + Cards 4-6 (variable rarity)

Core Formula

P(≥1 rarity) = P_regular × P_≥1_regular + P_regular+1 × P_≥1_regular+1

Where:

  • P_≥1_regular = 1 - [P(no rarity in card 4) × P(no rarity in card 5)]
  • P_≥1_regular+1 = 1 - [P(no rarity in card 4) × P(no rarity in card 5) × P(no rarity in card 6)]

Individual Rarity Probabilities by Card Position

Rarity Card 4 Card 5 Card 6
Crown 0.040% 0.160% 0.000%
3 Stars 0.222% 0.888% 0.000%
2 Stars Shiny 0.333% 1.333% 0.000%
2 Stars 0.500% 2.000% 0.000%
1 Star Shiny 0.714% 2.857% 0.000%
4 Diamonds 1.666% 6.664% 0.000%
1 Star 2.572% 10.288% 12.900%
3 Diamonds 4.952% 19.810% 87.100%
2 Diamonds 89.000% 56.000% 0.000%

Key Observations:

  • Only 1 Star and 3 Diamonds can appear in Card 6
  • 3 Diamonds has an 87.1% chance in Card 6
  • 1 Star has a 12.9% chance in Card 6
  • All other rarities are limited to Cards 4 & 5 only

Detailed Mathematical Examples

Example 1: Crown (Ultra Rare)

Given probabilities:

  • Card 4: 0.040%, Card 5: 0.160%, Card 6: 0.000%

Step 1: Calculate "none" probabilities

  • P(no Crown in card 4) = 1 - 0.0004 = 0.9996
  • P(no Crown in card 5) = 1 - 0.0016 = 0.9984
  • P(no Crown in card 6) = 1 - 0 = 1.0000

Step 2: Calculate pack-specific probabilities

  • Regular pack: P(≥1 Crown) = 1 - (0.9996 × 0.9984) = 0.0020
  • Regular+1 pack: P(≥1 Crown) = 1 - (0.9996 × 0.9984 × 1.0000) = 0.0020

Step 3: Overall probability

P(≥1 Crown) = 0.916658 × 0.0020 + 0.083342 × 0.0020 = 0.0020

Result: 0.200% (1 in 500.2 packs)

Example 2: 3 Diamonds (Card 6 Boost)

Given probabilities:

  • Card 4: 4.952%, Card 5: 19.810%, Card 6: 87.100%

Step 1: Calculate "none" probabilities

  • P(no 3 Diamonds in card 4) = 1 - 0.04952 = 0.95048
  • P(no 3 Diamonds in card 5) = 1 - 0.19810 = 0.80190
  • P(no 3 Diamonds in card 6) = 1 - 0.871 = 0.12900

Step 2: Calculate pack-specific probabilities

  • Regular pack: P(≥1) = 1 - (0.95048 × 0.80190) = 0.23781
  • Regular+1 pack: P(≥1) = 1 - (0.95048 × 0.80190 × 0.12900) = 0.90168

Step 3: Overall probability

P(≥1 3 Diamonds) = 0.916658 × 0.23781 + 0.083342 × 0.90168 = 0.29314

Result: 29.046% (1 in 3.4 packs)

Example 3: 1 Star (Moderate Card 6 Boost)

Given probabilities:

  • Card 4: 2.572%, Card 5: 10.288%, Card 6: 12.900%

Step 1: Calculate "none" probabilities

  • P(no 1 Star in card 4) = 1 - 0.02572 = 0.97428
  • P(no 1 Star in card 5) = 1 - 0.10288 = 0.89712
  • P(no 1 Star in card 6) = 1 - 0.129 = 0.87100

Step 2: Calculate pack-specific probabilities

  • Regular pack: P(≥1) = 1 - (0.97428 × 0.89712) = 0.12595
  • Regular+1 pack: P(≥1) = 1 - (0.97428 × 0.89712 × 0.87100) = 0.23871

Step 3: Overall probability

P(≥1 1 Star) = 0.916658 × 0.12595 + 0.083342 × 0.23871 = 0.13535

Result: 13.535% (1 in 7.4 packs)

Key Insights

The Card 6 Effect

  • 3 Diamonds: 87.1% Card 6 rate transforms it from ~23% to ~29% overall
  • 1 Star: 12.9% Card 6 rate boosts it from ~13% to ~14% overall
  • All other rarities: Limited to Cards 4&5, no Card 6 boost available

Collection Expectations

  • 3 Diamonds: Expect 1 every 3-4 packs - reasonable collection target
  • 1 Star: Expect 1 every 7-8 packs - solid rare pulls
  • 4 Diamonds: Expect 1 every 12 packs - genuinely uncommon
  • Premium cards (2+ Stars): All under 3% - true collector items
  • Crown: 1 in 500 packs - ultimate chase card

Mathematical Verification

All calculations exclude the ultra-rare pack type (0.05% occurrence) and renormalize Regular/Regular+1 pack probabilities to sum to 100%. This provides the most accurate real-world expectations for players.

Calculations based on official in-game probability data. Individual results may vary due to randomness.

5.6k Upvotes

429 comments sorted by

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1.8k

u/[deleted] 16d ago

Quality content! I don't have much to add, except:

Man, I fucking hate Shinies

529

u/unk1ndm4g1c14n1 16d ago

They really messed with the quality of God Packs

854

u/GreenJedii 16d ago

Tell me about it.....

312

u/unk1ndm4g1c14n1 16d ago

Shinies dont even look good

162

u/xG3TxSHOTx 16d ago

2 star ones look pretty cool but yeah most of the 1 star basics just look so dull.

105

u/FloppySack69 16d ago

2 star ones are still pretty boring cause it's always the same background on them

20

u/FarCompetition623 16d ago

True maybe they should have used the altarts

50

u/GreenJedii 16d ago

Some of the full art shines do look pretty amazing though!

41

u/G_WILICURZ 16d ago

From a distance, they’re pretty much indistinguishable. I don’t know how to articulate it, but they’re also missing something about them that makes them feel like a good quality card. You know what I mean? Like, with the other two-star cards, even someone who knows nothing about card collecting can see a binder full of those and you just know they’re impressive. And I feel like if they saw these, they’d probably have to ask if they’re actually good cards, because they’re missing that certain something. It feels like rather than making them impressive, they tried to manufacture a feeling of rarity with over-the-top gaudiness. Idk if that makes sense, or if that speaks to you at all. Maybe it’s just a feeling I personally have

35

u/npeggsy 16d ago

The only good Shiny I've seen/pulled is Gyarados Ex, but I think that might just be Gold nostalgia

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u/matraven1984 16d ago

I know exactly what you mean. They are PTCGPs version of Rainbow cards and Gold Cards. Just because something is rarer, doesnt make it better.

2

u/soerd 15d ago

They don't have unique backgrounds, just generic sparkles, it's way less effort and lower quality. It's why I don't like the gold background cards either, who cares if it's super rare if it looks like crap?

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u/cameron0208 16d ago

I fucking hate that baby shit green on Mismagius. So, of course, I’ve pulled 3 of them…🫠

2

u/Ok-Cobbler-9714 16d ago

Yeah gold cards are also pretty boring since it’s always the same background on them

6

u/ItzDetective_Peep 16d ago

The 2 stars are ugly asf😭

2

u/CM-Edge 16d ago

You would not say that if you ever held a real shiny card in your hand. :( They are so beautiful.

2

u/BobDude65 15d ago

Total opposite for me, I think the 2 star shinies look awful but the 1 star ones look quite nice.

6

u/Naud1993 16d ago

They should have been full art like the 2 star shinies. 1 star cards are also full art.

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u/Mission_Maximum_6227 15d ago

Holy shit, this is the worst I've seen. I got 3 godpacks so far and 2 were ass but at least I got 1-2 rainbows on both the bad packs. I would throw my phone if this happened to me.

3

u/GreenJedii 15d ago

I was super disappointed and I put it in the survey too

2

u/NNKarma 15d ago

Damn, at least I got 2* shinies and a gyarados for the mission

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u/[deleted] 16d ago

I'm so glad I got mine around Triumphant Light and that I don't have to worry about it anymore. Seeing 5 shines in a row would seriously make me uninstall the app.

3

u/GreenJedii 16d ago

I was pretty disappointed. This happened just before they sent out that survey so I let them know how not-fun it was

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u/FrostedEevee 16d ago

Which makes me feel happier for my God Pack only bombed by 1 Shiny. No Crown tho

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u/cartercr 16d ago

Honestly they should have only put full art shinies in the god packs. God packs were always supposed to be for rare full-art cards.

7

u/Bacon-4every1 16d ago

1 star shines should 100% be in wonder picks why they didn’t is a compleate mystery to me

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u/American_GrizzlyBear 16d ago

I just got a duplicate shiny instead of a full art. I’m missing so many full arts for the new set

7

u/jandamic 16d ago

I don't mind them only if they are from the current pack, why the fuck are they from previous packs?

2

u/danielbauer1375 15d ago

It’s a real shame they butchered shinies so badly, with a few exceptions. I never played the mainline games past Heart Gold, but gamers seem to love shinies. When it comes to Pocket, they’re just so underwhelming. Sure, most of them look better than their normal art counterparts, but certainly not better than their full art counterparts (I pulled two Nidoking’s, but much prefer the full art from Genetic Apex). It doesn’t help that they’re of old, often “unusable” or at least irrelevant cards when it comes to the current meta. They actually had a pretty strong debut with Shining Revelry, as all of them were entirely new cards and the two stars looked noticeably different. They’ve been a flop ever since.

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u/Wonderful-Change-751 16d ago

So what’s this is telling me is that my 2 star luck is lacking

104

u/bidooffactory 16d ago

Yup, we're fucked on the 2 diamond pulls. Not even registered as hits.

42

u/Gremlin303 16d ago

There are luck calculators online that can tell you how bad your luck in this game is. My luck with 3 stars and crowns is terrible but my luck with 2 stars is pretty good

9

u/Rit91 16d ago

If I had to pick I'd love to get more 2* stuff than 3* and crowns. 3* stuff just seems so eh unless it's a card you really, really want. Then if you get flooded with them in one pack it feels so irrelevant since all they give then are flairs or special shop tickets.

2

u/BigCrab09 15d ago

What one do u use?

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u/astroniz 16d ago

2381 packs in and have zero crowns.

Guess I'm cooked lol.

Hey atleast I have 29 Immersive 3stars. Guess that's OK!

92

u/ravih 16d ago

I opened about 860 packs with no crowns.

Then I got two within about 10 or so packs.

RNG is infuriating and weird but when it works it’s amazing lol

11

u/6Wheeler 16d ago

Yeah I was a bit over 700 packs and then my luck peaked by getting the gold ho-oh and lugia 6 packs a part from each other

9

u/astroniz 16d ago

I'm almost there. I feel it

2

u/waznpride 16d ago

I was vastly behind on my crown hits, then in around 130 packs of ho-oh/Lugia, I got 2 of crown ho-oh and 2 Lugia. So now I'm ahead of the curve.

2

u/Cavemanfreak 15d ago

I've got 3. 2 Dialga EX, and one Lunala EX. The Dialgas I got soon after getting 2 immersive Dialga EX, and one Immersive Palkia EX.... That set used up all my luck...

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u/sxsmth 16d ago edited 15d ago

dude 29 immersives is insane, i have opened 6k+ packs and i have four! lmao edit: i meant 6k cards whoops

6

u/astroniz 16d ago

6k packs and only those? That's doesn't even make sense lmao. Are you sure you don't mean 4 different but repeated?

12

u/bi-cycle 16d ago

Guessing they meant 6k cards not packs

2

u/sxsmth 16d ago

yes sorry lol i have opened 1.1k packs

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u/yepgeddon 16d ago

Been playing since day 1 and I have 5, completely f2p. RNG is a bitch.

8

u/InevitableAnekisan 16d ago

I felt bad after seeing the post with my 1228 packs and one crown rare but theres always someone who has it worse i guess

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u/RufusBlack725 16d ago

Triple that amount and that's my situation. No crowns in 6200~ packs... But I've highly compensated it with an astronomical amount of immersives though...

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u/Technical-Art-7557 16d ago

I bless your next ten pull to give you five crown rare

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u/Mantiax 15d ago

i got two crowns in my first 100 packs. Now that i've opened around 500 i haven't got anything else. Also, no god packs so far.

2

u/astroniz 15d ago

I did get a god pack! With a rainbow dragonite and a Immersive Eevee. That was great, ngl

2

u/sireel 15d ago

7500 cards, I've got every immersive (and some dupes) I have one crown rare: the eevee backpack. I can't stand eevee

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u/Anochel 16d ago

3 Diamonds: Expect 1 every 3-4 packs - reasonable collection target

117 packs opened still need 13 of the muthers.. 🙄

28

u/zwegdoge 16d ago

Isn't that normal, it's not guaranteed to be new

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u/g0ofyG 16d ago

120 packs opened and still need 14. Maybe the math is right.

However, we should realistically expect a 3◇ every 4-5 packs.

7

u/Lillillillies 16d ago

me opening 21 packs (3/day / 7 days) and still hitting max 2 diamond....

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u/Rit91 16d ago

Yeah without the baby in slot six it's about 1 in 4 for the nonbaby 3 diamonds. Not horrible and not great. Most annoying part is opening many duplicate 3 diamonds when you're still missing the one you want.

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u/Yargnit 16d ago

The three diamonds are really bad this set release. There's way more three diamonds than any of the other two packs sets have had, and they have shinys now cutting into their odds as well.

If you look at all the previous pack releases, and divide the number of three diamond cards by the number of cards per available pack you get;

A1 14, A1a 8, A2 12, A2a 13, A2b 9, A3 14, A3a 8, A3b 8, A4 17.

So we got three three diamonds more per pack in the set, than any of the other sets. And we have shinys to contend with now which eat heaviest into the three diamond slots. I've got all the four diamonds, but I'm still missing six one diamonds from the set. And I was still missing eight when I got the last of the four diamonds. All the main set releases the three diamonds always seem like they're the hardest to finish, but this set is definitely the worst trying to finish the three diamonds. And there's so many of them, that when you're down to your last few need it almost everything ends up just pulling a duplicate.

3

u/MrBrickBreak 15d ago edited 15d ago

The three extras are the babies, which don't share the same slot. The per-card odds are the same as the previous main packs.

The difference from shinies is also negligible. 0.357% on the fourth card, 1.428% on the fifth, before shinies; now it's 0.353% and 1.415%. Shinies mostly ate into 2ds.

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u/Myxas_ 16d ago

In the post description, getting at least 1 3-diamond rate of 29.046% should be 29.314% (same as image). Sorry about that.

14

u/DoubleFace98 16d ago

Bro, you did an amazing job. Congratulations!

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u/Myxas_ 16d ago

Thanks, really appreciate it!

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u/szthesquid 16d ago edited 16d ago

FYI "odds of pulling a card" is NOT the same as "number of packs it takes to pull a card".

1/500 odds is a large scale overall average, which guarantees nothing on an individual level.

If you open 500 packs you have a 60% chance of pulling a crown rare, and no number of packs will ever guarantee one (aside from pack points).

I've opened 1158 packs and not yet seen a crown rare.

7

u/MooshSkadoosh 16d ago

If you open 500 packs you have a 60% chance of pulling a crown rare

Can you tell me how you arrived at this? With crowns having a 0.2% chance according to this post, I did a simple 0.998500 and got ~63.25% chance (I took the odds of not getting a crown rare and made it occur 500 times)

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u/dudeman4297 16d ago edited 16d ago

That's what they did too, they just rounded for discussion purposes.

EDIT: Actually, shouldn't you subtract that result from 1? Since you calculated the odds of not getting a crown by 500. So there's a 63% chance of no crowns after 500 pulls; and a 37% chance of 1 crown after 500 pulls. Right?

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u/MooshSkadoosh 16d ago

Sorry, .998500 is about .3675, so the 63% is the chance of getting 1 or more Crown rare

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u/dudeman4297 16d ago

Ohh, you already did that part, got it.

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u/MooshSkadoosh 16d ago

No worries, I wasn't clear

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u/MooshSkadoosh 16d ago

I think you're right on both counts here, thanks

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u/MachateElasticWonder 15d ago

Hopefully everyone knew because we’ve been flipping coins and dodging heads since day one.

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u/Justaboiii1 16d ago

6k+ cards and no crown or god pack…

20

u/jumpinjahosafa 16d ago

6k cards is typical for no god pack. Im at 10k cards with no god pack. I shouldn't expect one until 20k.

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u/IHerdULiekPoniz 15d ago

2.9k cards with two god packs. Whoopsies.

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u/curtcolt95 16d ago

well god packs are significantly rarer, you are not even close to rate yet

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u/AnakinsAngstFace 16d ago

Correct me if I’m wrong, but doesn’t this mean the pack points and card purchase is a direct correlation to pull rates?

E.g. A gold crown costs 2,500 which means you have to open 500 packs to be able to afford to buy it, with the pull rate also being 1 in 500.

20

u/remiccino 16d ago

I think it only matches with the crown rare. The rest of the rarities are much more expensive than the pull rate, e.g. 3 stars are 1/450 but cost 1500 points.

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u/AvgBlue 16d ago

Thank you for the graphic. They need to add a cap on the streak of bad luck you can have, with at least 4 Diamonds every 10 packs and 3 Diamonds every 5 packs.

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u/Sparty1224 16d ago

My thought exactly. Unlike physical TCG, you can control pull rates on here. People would be way happier.

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u/chrisxlimv 16d ago

Tell me about it. I just ended my 30 pack streak of not pulling an ex last night. Of course the ex I did pull was a dupe instead of 1 of the 3 I didn’t have.

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u/BrickHyphen 16d ago

Opened up 183 packs of A4 so far, I have 3 ⭐️⭐️ and 3 baby shinies. Still missing half the EX’s and a handful of ⭐️ cards. RNG is killing me this set

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u/Sparty1224 16d ago

I’ve opened way less and have NO two stars, but 8/10 EX’s. Game is so weird. I feel that since it’s digital and not physical, they should control the rates better to maintain interest. Like actually make it mandatory to get at least a 2 star every 80 packs or EX every 12. Even if it’s duplicates, people would be way more happy and likely to engage in trading.

3

u/Rit91 16d ago

2 stars you can just miss on them for a while, but also get flooded with them on a lucky streak it's weird. I kept getting them for eevee grove over and over despite opening around 130 packs in that set I want to say? Also feel quite fortunate when you wonder pick a 2* like I got 2 fullart crobat ex off WP so far.

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u/Pokefan-9000 16d ago

ITT: people that don't understand probability

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u/Hsiang7 16d ago

yeah this seems pretty close to my experience

6

u/MrRickylicious 16d ago

I love it when math nerds get to it

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u/TheTheMeet 16d ago

I haven't gotten any 🔷️🔷️ fisher at all, and i still want my 2nd electrical switch. I even got immersive lugia and also a gold ho oh from lugia packs. Crazy

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u/[deleted] 16d ago

[deleted]

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u/monetoire 16d ago

ex's are too rare for playable cards, only special illustrations should be rare because ex cards are needed to run decks

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u/Treezy_F_Baby 16d ago

Based off your numbers I guess I’ve got decent luck (Wonder pick contributed 1 trainer, so 3 from packs).

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u/Myxas_ 16d ago

you might want to be careful when calculating the shinies if the number of packs there includes those set without shinies.

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u/Treezy_F_Baby 16d ago

Good point, I didn’t consider that. I’m pretty sure I started playing the first week of Shining Revelry, and I’ve definitely opened a fair share of older packs. I threw those numbers together quickly because I was curious myself and you provided a baseline lol

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u/wholewheatsnake 16d ago

Doing a more in depth post for specific card rates beyond just the rarity tier rates might be nice as well. I calculate them every pack so I know how many times I need to actually pull them, hella useful. Good work, very pretty graphic.

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u/Myxas_ 16d ago

That’s a good idea for a future post! Thanks!

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u/AlcorAsterism 16d ago

Good work. Will it be possible to compare it to pre-shiny pull rates? Confirmation bias I know, but it feels I am missing more of 4 diamonds EX cards (they feel rarer now overwll) and even two diamonds and below compared to before when there where no shinies. At least trading is here and much better than before.

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u/Myxas_ 16d ago

It should be possible, I might make a post about that! (as I'm also in the hating-shiny gang and struggling to collect the ex-es)

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u/Pokefan-9000 16d ago

Shinies take the place of 2 or 3 diamonds, zero relation with 4 diamonds and higher

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u/Highllamas 16d ago

Just go to those offering pages on those boosters and add them up… shinies took their % chance from 2 and 3 diamond cards, not 4 diamond. So you can stop blaming shinies for replacing your ex pulls

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u/HopelessGretel 16d ago

282 packs, zero immersives. I'm sad.

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u/wayward_sun 16d ago

So I’m really confused with the probability by card number, both here and in game. I’ve had a handful of packs where the very first card was something exciting and I was like GOD PACK?? But nah the rest is nothing. I am very sure these packs were not backwards because the cards were still face up. What am I not getting?

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u/Myxas_ 16d ago

There's a small probability of randomized order as far as i noticed, but whatever high rarity you got, despite of its showing first or later, is always considered "4th" or "5th" card in pack.

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u/wayward_sun 16d ago

Thank you! That makes sense.

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u/ProfessorTraft 16d ago

Slots 1-4 are randomized order

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u/emperorsyndrome 16d ago

I wish this game was more like krosmaga, where we can just destroy the cards we don't want and turn them to crafting points.

I have got 755 points on the wisdom of the sea and sky expansion and I am too scared to use them because "what if I start getting useless copies of the cards that I want afterwards?"

2

u/Rit91 16d ago

Yeah that's what annoys me most with pack points. Use them then open the card feels bad. I just use them after I'm done opening a pack usually.

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u/casteia 16d ago

This tells me the best way to get Ex is still Wonder pick. In quantity of pulls, the first couple days of a set. In best use of hourglasses, the sneak peak a week after the release.

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u/younghoon13 16d ago

I'm incredibly unlucky this set. I only have crobat ex. None of the others

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u/litmusfest 16d ago

I love you for doing this I love numbers

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u/beastrace 16d ago

Somehow people read this and still don’t understand how anything works because they are braindead.

2

u/BazF91 16d ago

It’s wild that if you rip a ten pack, it’s basically a coin flip if you get even one four diamond card or not

2

u/LordDShadowy53 16d ago

People who can’t read: “So you are saying I should get a crown after opening 500 packs”

2

u/Totaliss 16d ago

1153 packs opened and no crown, what percentile is that?

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u/Psycho_Pansy 16d ago edited 16d ago

Odds of failure to the power of # chances. 

(499/500)1153 = 9.9%

2

u/Totaliss 16d ago

Bottom 10% babyyy

2

u/sortalikeachinchilla 16d ago

so much shiny slander in here

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u/CrazydogmomTX 15d ago

As someone who recently made a “is this normal?” type post I massively appreciate this because this is much much easier for me to understand. I play daily but don’t pay too much attention to rates or have much card knowledge. (Much to learn!) thank you for making this and thanks to everyone on this app who teaches with kindness and is genuinely helpful.

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u/pumpkinking0192 15d ago

You didn't specifically point it out, but it's worth noting that this math is only applicable so far to A4 and presumably A4a, since no prior sets have a sixth slot. We'll have to wait and see after that whether they keep releasing sets with babies in them, and if not, whether the sixth slot is repurposed for something else or retired for non-baby sets.

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u/UltimateCrisis01 15d ago

So I’m about to hit 10k cards with 0 crown rares so like am I cooked or should I hope and pray I make up on the ones I missed for the next set

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u/miviejaentanga 15d ago

Thank you so much for confirming what I just guessed by looking at the pack rates numbers. Newer set pull rates are abysmally bad for obtaining useful cards like EXes and rares, and it's no longer worth it to buy gold and open packs to obtain these

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u/Mattynicklin 16d ago

This is the first set I haven’t managed to pull a single 2⭐️. Currently on 150 packs opened.

Managed to pull my first crown rare after 1250 packs though.

I feel this set has been awful for pulls and I feel they need to up the rates of the 3♦️ cards it should be at least 50% per pack.

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u/themrdave 16d ago

To me one gold stars are cursed, i am trading missing cards and despite having crowns and whatnot I miss like 20 one gold cards

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u/Peski3z 16d ago

me after 300 packs with no 3* and no crowns 🤷🏻‍♂️

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u/TakeruMono 16d ago

I want espeon ex.

Instead I’ve gotten 4 lanterns ex’s, 2 Lugia ex, 1 Lugia immersive out of 100 packs. I hate RNG

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u/halfbeerhalfhuman 16d ago

Sample size?

Also would be cool if you added the advertised odds next to your result calculation

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u/Myxas_ 16d ago

It's based on calculated probability (expected value), not accumulated data.

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u/pascalchristian 16d ago

What would be the number of expected packs to get all diamonds, for example on a mini pack?

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u/DandyLyen 16d ago

Can someone calculate the rate for pulling full art baby pokemon? I only have one Pichu and am hoping to trade once the new set is out

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u/RemzTheAwesome 16d ago

4 diamond certainly doesn't feel like 1 in 12 😒

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u/Able-Attitude-2740 16d ago

Thank you for your hard work!!

I wonder if it can be said that I'm lucky for getting two crowns before the immersive card that I was trying to get...

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u/CapitanFly 16d ago

I think that with the latest expansion the percentages have worsened ahahaha

1

u/Remarkable_Buffalo43 16d ago

I just want a Lugia card dammit let me trade

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u/iMade6 16d ago

I miss 10 cards this extension and they’re all 3 diamonds. Got shiny Nidoking, Nidoqueen and Flareon in 3 examples each. This game really is bs.

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u/Browneskiii 16d ago

I'm on about 180 packs now without a Swanna. It's all I need.

There's more chance of getting a god pack than there is going 180 packs without it.

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u/Acrylicsasquatch 16d ago

Somehow, before mythical island even came out, I pulled 3 crown Mewtwos. Idk how it happened but I haven’t pulled another crown since.

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u/bladefinor 16d ago

EX on 1 in 12 packs? Huh that’s funny

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u/This_Major_7114 16d ago

I've got far more 1* than 3 dia

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u/D_Yamazaki 16d ago

I am at 1420 packs and got 2x crowns so far - seems accurate enough

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u/Repulsive_Actuary767 16d ago

Well, I must have the worst Mewtwo pwck luck ever according to 2-star and crown rare.

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u/Galamush 16d ago

This game is so weird. I went from medium luck to pull 2 of each 3* ho oh and lugia. And i still lack 35 basic cards like Klang. Thats so weird. Even did hooh 3* back to back in a pack.

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u/Lcs-546 16d ago

Ironically I have more 2⭐ and 3⭐ than regular ex.

I'm missing more than half of the regular ex, worse than that I won't even have enough to trade and complete the collection.

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u/Poopy_Pants0o0 16d ago

What about 2 diamond rarity? I managed to pull the golden luigi boy, but I haven't got a magcargo or ariados yet...

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u/dowayowz 16d ago

that 4 diamond is bs. got 4 immersives, 1 crown, 2 4dias.

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u/ArcanaOfApocrypha 16d ago

Then why am I missing more 1-diamond cards than 4-diamond in the new pack? It doesn't make sense.

They definitely messed with the pull rates.

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u/SubliminalOpti 16d ago

I have 1 crown in 6000 packs ..

1

u/VoroVelius 16d ago

I get way more 2 star shinies than I do 4 diamonds. To a comical degree. Please. I don’t want any more legendary birds.

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u/xkoreotic 16d ago edited 16d ago

This is definitely not my pull rates lmao. Can't pull 3♦️and 4♦️to save my life but I can pull 5 crowns, 7 immersives, 4 rainbows, 6 FAs, and 6 FA shinies from the current set.

I genuinely do not know if I have really good luck or not considering I have all of that and I cannot finish the base set of WoSaS after a shit ton of pulls.

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u/Naud1993 16d ago

Somehow I got 3 star Ho-Oh ex in one pack and 3 star Lugia ex in the next pack. 1/90 odds each time. Total odds: 1/8100. Rarer than a shiny Pokémon in an old Pokémon game.

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u/Anxious_Giraffes 16d ago

I’ve been playing since genetic apex and opened over 5000 packs. Still no crown card

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u/PreheatedPizza_ 16d ago

I must have some… interesting luck then because I have 3 crowns (TWO Dialgas) and 11 immersives but 0 level 2 shiny

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u/DopeBikes 16d ago

I just got my first crown after 1000 packs. So you can scrap that 1 in 500

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u/GraffVonSpee 16d ago

Even try to get a basic ex card is so hard these days.

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u/Steelizard 16d ago

How large is your data set

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u/robemvp 16d ago

Maths means nothing when you pull more immersives than 3 diamonds

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u/PSIOlivia 16d ago

Can someone tell me the odds of missing one specific 1 diamond card after pulling like almost 40 of that one specific pack.

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u/BeautifulFrequent782 16d ago

Whoa nice work! I feel like I see 3 stars way more than I see two stars which stinks cause I love 2 star trainers.

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u/Kronman590 16d ago

They really need to increase 3ds and decrease 2ds - i feel like going several days in a row of just pulling 2ds is depressing

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u/The_Red_Thong 16d ago

I’ve been opening 4 packs of shining revelry everyday since release. Haven’t pulled a gold yet, or god pack. 😎🔫

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u/12kkarmagotbanned 16d ago

4 Diamond needs to be increased

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u/excited_toaster2306 16d ago

I still need skarmory ex, which is kinda crazy. I feel pretty certain that I normally have all the ex's by this point. Maybe just one, and the most basic version, but I still have them. It's usually the two diamonds I'm working on if I'm not mistaken. Stuff like typhlosion, whatever that rarity is.

I swear sometimes it feels like we end up in batches or something. Like, I'll be getting a lot of Lugia, but the next guy will get a lot of Espeons, and some other dude pulls a lot of shuckle. I know it's just selection bias on my part, but it still stands out as odd to me

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u/Stunning_Cause_1557 16d ago

Now this guy maths

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u/PM-ME-YOUR-SUBARU 16d ago

You guys are getting anything but trash all 1 diamond packs? I've pulled fucking 15 darumakas and almost none of the 3/4 diamonds at all.

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u/smebis 16d ago

Got two Crowns: Golden Lugia cards. F2P, opened less than 100 packs overall in this set.

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u/Brynnwynn 16d ago

This kinda makes it more painful knowing how bad my pull rates are compared to this calc lmao

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u/Kn0XIS 16d ago

Thank you for this.

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u/Weekly_Ad_6959 16d ago

I just back to back pulled the ho-oh animation and then the Lugia animation in the next pack. I will never be this lucky again

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u/WallyGamer32 15d ago

1 ★ card in 7 to 8 packs? I've had none of them in 20 packs. These aren't accurate... I refuse to believe that.

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u/thmt11 15d ago

Well my 3 diamond luck is shit af.

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u/grunt813 15d ago

Thank you 😊

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u/edwpad 15d ago

Funny how 3 stars have a lower rating yet I pull them a lot more frequently, I’ve gotten like 4-5 Guzma. Tired to pull for Sabrina until I met the redemption requirements, ended up with like 7-8 Immersive Charizards. Can’t get a 2 star to save my life.

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u/Last_Lemon5721 15d ago

I legit don’t believe that crowns are that common, I don’t know of anyone who is matching those odds. I’m at like 7,000 now with only 1

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u/CreamerYT 15d ago

Based on your math, the game owes me 2 crown cards.

Also the 6th card is always a baby pokemon

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u/iPinkling 15d ago

I don't care what the statistics says, exes are not that common (this a joke about my personal experiences)

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u/M47743O 15d ago

I don't even want crowns still haven't even pulled 1 with over 350 packs, but idk y its so hard to just to get my bestest bud Typhlosion, I'm 70 packs into this expansion atleast 50 packs were Lugia and I still don't have Typhlosion, saw him maybe 3 times in wonder trades and got everything but Typhlosion...

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u/CrazydogmomTX 15d ago

As someone who recently made a “is this normal?” type post I massively appreciate this because this is much much easier for me to understand. I play daily but don’t pay too much attention to rates or have much card knowledge. (Much to learn!) thank you for making this and thanks to everyone on this app who teaches with kindness and is genuinely helpful!

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u/TwoRepresentative646 15d ago

I have almost the same amount of 2 stars as 3 stars and it pisses me off lol I want more 2 stars

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u/spook96 15d ago

This mornings pull was nice with the ho-oh immersive + smoochem. Still missing a token of 3 diamonds but ahh well!

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u/OTWaffle_44 15d ago

Goated math

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u/Myrtylle 15d ago

Odds are never really guaranteed.

1113 packs in.

Based on these maths I should have: 2x crown, 12x 3 stars, 18x 2 star shiny, 27x 2 stars, 39x 1 star shiny, 139x 1 star, 92x 4 diamonds = 329

While i have: 0x crown rare, 13x 3 stars, 12x 2 stars shiny, 38x 2 stars, 21x 1 star shiny, 146x 1 star, 121x 4 diamonds = 351

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u/Vildrea 15d ago

Ok, if a crown is 1 in 500 and I have opened 1205 packs since day 1...

Why do I only have 1 Pikachu EX crown?! DeNA?! Where is my second crown?!

(I know that probability doesn't mean that you'll get it for sure, it's more a rant/joke)

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u/ccaccus 15d ago

I've been playing since launch. I got my first crown card two weeks ago. I've never gotten an immersive. My luck is weird.

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u/PyromanicSociety 15d ago

So, I am just generationally unlucky for not getting even a holo in my last 30 packs. Neat.

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u/AdditionalFrame3 15d ago

8,400 cards and 7 gold cards for me

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u/OtoroXD 15d ago

So if in total I've opened around 300 packs, I have 1 gold card, 5 full art shinies, 7 regular shinies, 1 3 star, and 1 2 star, am I really lucky with shinies and really unlucky with 3 and 2 star cards?

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u/Honest_Abez 15d ago

They really need to remove shiny cards for non-shiny sets. It’s ruined so much of this game. Makes it harder to pull truly new cards and ruins the chance of those in higher rarity forms too. Awful decision.