# How many Dragonite eggs to open to get 6 basic troops?

**URL:** <https://community.gemsofwar.com/t/how-many-dragonite-eggs-to-open-to-get-6-basic-troops/80576>\
**Category:** Feature Requests and Game feedback\
**Created:** [July 22, 2023, 7:22am UTC](https://community.gemsofwar.com/t/how-many-dragonite-eggs-to-open-to-get-6-basic-troops/80576 "2023-07-22T07:22:28Z")\
**Posts on this page:** 1\
**Showing post:** 9

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**Author:** ![Stratelier](https://avatars.discourse-cdn.com/v4/letter/s/977dab/32.png) [@Stratelier](https://community.gemsofwar.com/u/Stratelier)\
**Post date:** [July 22, 2023, 11:33pm UTC](https://community.gemsofwar.com/t/how-many-dragonite-eggs-to-open-to-get-6-basic-troops/80576/9 "2023-07-22T23:33:40Z")

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> [@JustSayin](#):
>
> This is statistically impossible and very annoying.

Annoying? Yes.

“Statistically impossible”? _(laughs in combinatorial probability spreadsheet)_

Here’s how the overall probability of having Y unique dragons after X eggs _actually_ maps out:

![gemsof-dragons-vs-eggs](https://us1.discourse-cdn.com/flex019/uploads/gemsofwar/original/3X/0/7/072e0aa5235c4cdb9f5b2ef8a4fd109d654b05c3.png)

(Ask me how this is calculated. I dare you.)

15 eggs is the “expected value”, but as you can see there is a significant chance of NOT having a full set by then, and even a 3% chance of not even having 5 dragons yet!

Even by 30 eggs, there’s still a ~2.5% chance of NOT having the full set.

So it really is more likely than you think.

> **Alternative plots of the same data**
>
> Here’s a non-stacked version:
> 
> ![gemsof-dragons-vs-eggs-scatter](https://us1.discourse-cdn.com/flex019/uploads/gemsofwar/original/3X/b/c/bc86e3ff8c015c2318be1d2d2c807391c5183493.png)
> 
> And here’s a Y-logarithmic plot:
> 
> ![gemsof-dragons-vs-eggs-log](https://us1.discourse-cdn.com/flex019/uploads/gemsofwar/original/3X/d/a/daaf7662789234de0a0c2856decb5e7a3ba55251.png)
> 
> Note how in a logarithmic plot, each series converges to a “straight line” aka. an exponential decay of \* (# dragons / 6) per egg crafted, which is of course the basic probability of getting a duplicate.

> [@JustSayin](#):
>
> I have already opened 26 Dragonite Eggs and have only got 5 out of the 6 basic Dragonite troops.

(PS - if you are tracking your craft dates for individual eggs, or at least the sequential order, I’d love to add them to my spreadsheet data.)

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