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Discussion about eggs and how their rarity affects you.

I did this the other day and I thought some of you guys may like to do the same.

Per the Silph Road hatch rarity chart you can figure out for yourself what the chances are of getting something that you will appreciate from egg hatching. Just make a list of the Pokemon that you want and their rarity tier draw and then divide that number by 315. To explain the rarity draw,to hatch all available Pokemon you should have to hatch 315 eggs (of course in reality, RNG is fickle). In a perfect world this would net you all available Pokemon but more of the more common ones and less of the more rare ones. For example for every 315 eggs hatched you should receive one Snorlax but will also have accumulated 8 EACH of every Pokemon in the common tier.

For me the Pokemon that I want (or at least am OK with getting) are:

Snorlax-1
Lapras-1
Mareep-2
Chansey-2
Larvitar-4
Rhydon-4
Machop-4
Dratini-8

These numbers combined total to 26. 26 divided by 315=8.25%. So I have an 8.25% chance of getting something that I am good with every time I spin a Pokemon from a stop. However, I understand that certain things are more desirable in different biomes due to rarity and to different players for other reasons. So I encourage you to do your own.

Side note: Research on past data accumulations show that there have likely always been these tiers of rarity. If I apply my same thinking to the eggs prior to the recent shake up of available pokemon my chances were 3.8% of getting something that I consider worth the effort. That is quite a step up. More than double and mostly thanks to Dratini being common.

What is your percentage? I know this may be a little confusing to some so feel free to just list the Pokes that you want and I will post your personal percentage.

Please also feel free to criticize my math or ask any questions no matter what. I typed this quickly and I'm sure I've made some mistakes.

Link to Silph Road research:

https://thesilphroad.com/science/secret-egg-rarity-tiers-pokemon-go

Asked by JHVS8 years 1 month ago
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by aSp 8 years 1 month ago

Neat way to work it out....very cool.
I have not looked at it in finer detail, because my first concern is with the accuracy of the 'tier list' for egg hatches.
Don't get me wrong, for the sample group that Silph looked at the numbers all add up...but I am not convinced that it is consistent for all biomes and all locations around the world.
They even say themselves...
"We do not currently believe biome is influencing egg species - but more research is needed!"

I tend to believe that 'more research is needed' regarding biome/region...because what they call Ultra Rare seem to appear more regularly for me and others in my area than some of the hatches in the Uncommon groups, and vice versa.

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I feel like we will go down a rabbit hole discussing the finer points of the study in regards to biome. But what the hell.

The main reason that the study shown above still makes biome depndant draws highly improbable is because the tiers themselves would not have been as plain as they were across the larger data sets. For example, lets say that Dratini are 8 out of 315 where they are common tier. If they were 4/315 in other biome sets the averages would have been much less than 8/315 across other data sets especially if the premise is that stops reference the more rare water biome. Now, there could be many more tiers of rarity that are being averaged to get 8/315 like lets say a 16/315 stop/area. But those reports (which were checked) did not exist. No one reported such singular numbers out of larger sample sizes. In fact as more samples rolled in the anomalies faded to what became closer and closer to the data presented. Now, it cannot be definitively said that biomes do not effect the draw since that was not directly controlled for. However, I think that based on the lack of obvious singularities need to support a full "biome based draw" cannot at all be found it is safe to assume that if the draw is affected it isn't as much as people claim or perceive. We are creatures that like patterns though and it is hard to convince anyone that there is not some bearing.

Plus when this data was reviewed about tiers and balanced with the much older data the tiers also became very apparent thus making this theory in fact spread across not just a large amount of data but a massive one (I think it wound up over 350K hatches).

In reality though there could be some smaller effect than what folks often claim that is biome based. It would be almost impossible to control for a small one, or one that may move (etc) with our general lack of understanding of biomes and no solid theory on how a stop would source them and zero real ability to control incoming info for such research and gain a large enough sample size quickly.

TLDR: I think biomes MAY skew the numbers a bit but not enough to reasonably deny the percentage numbers that I am suggesting toying with here.

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...and this is why I also mention the possibility of regional variations.
There is no indication of where the data was collected, but I would not be surprised if it was all collected in the same region - even the same country.
Without this kind of breakdown and a detailed look no one can really draw any conclusion from the data.

It is entirely possible that if we were to do a study in Japan, another in Australia and another in Europe that the tiers could be vastly different.
No one knows.

To claim that the numbers will not be vastly different from a completely different sample group is nothing but a guess.

All I know for sure is that graphic of tiers is not at all representative of what I and others around me experience...maybe my couple of hundred eggs since gen2 drop have all just been a complete statistical anomalie.
I can say that I am sick of getting Chansey hatches because they are far from Rare for me...and I wish Dratini were actually common, but I have no problem with my hatched Lapras collection - a least I finally got my 3rd Pineco and so I can now evolve Forretress.
Then again, maybe I am just fooling myself into seeing patterns that don't actually exist.

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Actually in some discussion it was noted that the data was known to have different countries and "regions" but it was not directly tracked so you have a point-it is possible that the exact sources used were faulty. But considering that the tiers line up with nearly half a million egg data tiers known from previous data collected it is fine to suggest that the tiers are real. The same as it is reasonable to suggest, as you are suggesting, that they are not absolute.

I also question them as I have posted here before (and I'm sure you have seen) and I would not be surprised if there was more at work than we know. But if we throw out the research we can do (and I'm not accusing you of this) then we may as well never do research. Between the events that skew the data and unannounced egg changes which ruin all of the known data and cause separations in data collected, and the fact that Niantic probably changes these unannounced at a whim, etc etc we can never ever know anything for sure. Add to that trying to track those things changing by biome in between all other changes and it is nearly impossible to study any of this with complete certainty. We can take what we have but do not have to take it as gospel which I think you are doing and would agree with. We can roll which what is reasonable through research and temper those expectations with our own data. I am doing the same tbh.

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I do need to say that I do indeed appreciate the work that players put in for lists like this - and I am not throwing out there findings at all.
And yes, I have seen you question how universal the results are - and is part of why I figured you wouldn't mind a discussion on it, without taking it personally.

I do find the vast majority of the list to be representative of what I (and those around me) find with hatches, but there are some distinct variations too. So it definitley provides everyone with useful information that we can use to base some decisions on.

Getting back on topic...yours is still a very neat way to look at things.

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Snorlax-1
Lapras-1
Chansey-2
Larvitar-4
Abra-4
Exeggcute-4
Machop-4
Togepi-4
Dratini-8
32/315 = 10.16%
This list could change soon with the promised gym rework.

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That is pretty cool. I forgot to add above that since (I think) the perfect IV draw from eggs is 1 per 216 that 315/216=1.45%. If 100% mon are what you are looking for you can add that to your base total.

One other thing that the tiers make interesting is that while we go "wow" when we see a 100% Dragonite. However, based on the percentage of drops and percentages of 100% IV mons, a 100% Dragonite is 8X more common than a 100% Lapras or Snorlax....or Yanma or Quilfish (etc). So folks that have a hatched 100% Quilfish have had a way more "lucky" draw than someone with a 100% Dragonite or Tyranitar. That is hard to wrap my head around but true.

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Although your math seems to work, your logic doesn't....
If the only thing that I want is 1 snorlax, then according to the study done by Silph Road, my chances of getting it a re 2.57%. But if I use your equation, my chances are only 1/315 = 0.31%.
If you take your own example, and do nothing but cut your Dratini count in half, you end up at 22/315 = ~7%. So by your logic, you have a higher percentage chance of getting something from your list if you want 8 dratini than if you only want 4........ But the chances of getting a Dratini do not change just because I want more of them.....

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You are reading it wrong. Your chances of getting a Snorlax from a 10K egg that you already have are 2.57 percent. There are less Pokemon that are hidden in 10K eggs than other eggs.

If you have a 10K egg there is a 2.57% chance it is a Snorlax.

If you draw 315 eggs regardless of the egg type you will be in the correct range to draw one Snorlax.

Thinking of the Pokemon drawn per egg type skews the true rarity in a way since all eggs are not equally common and you do not draw eggs from Pokestops. You draw Pokemon that are concealed within eggs but already predetermined at the time of you spinning and receiving it.

Part of the misunderstanding is that I posted the wrong graphic. Please check my OP again for the correct graphic.

Edit-I did not downvote you fyi.

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I see it now. I apologize for my misunderstanding.

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By "1" and "8" etc. he doesn't mean the amount of pokémon he wants, he's referring to their rarity tiers. 8 out of every 315 hatches will statistically be Dratini, while 1 out of every 315 hatches will be Snorlax.

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by razvan 8 years 1 month ago

Snorlax - 1
Miltank - 1 (will be 0 after first hatch :) )
Lapras - 0 (hatched 4 - four - after nerf)
Chansey - 2
Mareep - 2 (3 more to go, after that 0)
Tangela - 2
Bulba - 4
Charmender - 4
Growlithe - 4 (still like it)
Abra - 4
Machop - 4
Exe - 4
Rhyhorn - 4
Eevee - 4
Tyrogue - 4 (a few more, until get one with higher HP IV)
Larvitar - 4
Geodude - 8
Dratini - 8
Phampy - 8 (in search of a Counter/EQ Donphan)
72/315 = 22.8
So around 1 out of 5, so around 3 good eggs per 2 days for me :). Still several hours, for now only 2 good in last 2 days, geodude and exe.
Before a Machop and a bulba.
Before a Mareep.
So only 2 out of predicted 3.
Odds are that next days should be better in this aspect :) (maybe 4 dratini instead of last 4 consecutive pineco :) )

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