> For the complete documentation index, see [llms.txt](https://wiki.apexcobblemon.com/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://wiki.apexcobblemon.com/features/battling/raids/legendary-bosses.md).

# Legendary Bosses

[Legendary Pokémon](/pokemon-spawns/legendary-pokemon.md) can occasionally spawn as the [Raid Boss](/features/battling/raids/raid-phases/battle.md#raid-boss) during <mark style="color:red;">**Hard**</mark> and <mark style="color:blue;">**Wildcard**</mark> [mode](/features/battling/raids/modes.md) raids. They function as the rare high-value outcome of the standard raid system, giving players a chance at raid-exclusive species, Shiny Legendaries, and Hidden Abilities.

{% hint style="success" %}
Bring your own Master Ball to guarantee a successful Legendary Boss catch! (see [**Catch Chance**](/features/battling/raids/raid-phases/catch.md#catch-chance))
{% endhint %}

The chance for a Legendary Boss is dependent on the <img src="https://cdn.discordapp.com/emojis/1508742571696853034.webp?size=128" alt=":shield_sapphire:" data-size="line">[Difficulty Tier](/features/battling/raids/difficulty-tiers.md), size of the [raid party](/features/player/parties.md), and the [Legendary Pity](#legendary-pity) value of each party member.

<table><thead><tr><th width="120" align="center">Party Size</th><th width="120" align="center">Chance Bonus</th></tr></thead><tbody><tr><td align="center">1</td><td align="center">0%</td></tr><tr><td align="center">2</td><td align="center">5%</td></tr><tr><td align="center">3</td><td align="center">10%</td></tr><tr><td align="center">4</td><td align="center">15%</td></tr><tr><td align="center">5</td><td align="center">20%</td></tr></tbody></table>

<details>

<summary>Legendary Boss Chance Formula</summary>

<p align="center"><span class="math">\begin{aligned} P(\text{Legendary}) &#x26;= \frac{ \sum_{i=1}^{n}(1 + p_i) }{ n \cdot d \cdot (1 - b_n) } \\[0.75em] \text{where } n &#x26;= \text{party size},\\ d &#x26;= \text{difficulty tier base chance denominator},\\ p_i &#x26;= \text{legendary pity of player } i,\\ b_n &#x26;= \text{party-size bonus for a party of size } n. \end{aligned}</span></p>

<p align="center"><span class="math">b_n \;=\; \begin{cases} 0 &#x26; \text{if } n = 1, \\ 0.05 &#x26; \text{if } n = 2, \\ 0.10 &#x26; \text{if } n = 3, \\ 0.15 &#x26; \text{if } n = 4, \\ 0.20 &#x26; \text{if } n = 5. \end{cases}</span></p>

</details>

## Legendary Pity

Each player builds **Legendary Pity** by completing <mark style="color:red;">**Hard**</mark> and <mark style="color:blue;">**Wildcard**</mark> Raids that do **not** become Legendary Raids. Once a Legendary Boss is spawned, the pity values of the participating party members are reset.

Here are some example scenarios for a <img src="https://cdn.discordapp.com/emojis/1508742571696853034.webp?size=128" alt=":shield_sapphire:" data-size="line">**Platinum** raid, which has a base chance of $$\frac{1}{400} = 0.25%$$.

<table><thead><tr><th width="109.7999267578125" align="center">Party Size</th><th width="109.7999267578125" align="center">0 pity/player</th><th align="center">5 pity/player</th><th align="center">15 pity/player</th></tr></thead><tbody><tr><td align="center">1</td><td align="center"><span class="math">0.25\%</span></td><td align="center"><span class="math">\frac{1+5}{1\times400} \Rightarrow \frac{1}{66.\overline{6}} \approx 1.5\%</span></td><td align="center"><span class="math">\frac{1\ +\ 15}{1\times400} \Rightarrow \frac{1}{25} \approx 4\%</span></td></tr><tr><td align="center">2</td><td align="center"><span class="math">0.263\%</span></td><td align="center"><span class="math">\frac{(1+5)+(1+5)} {2\times380} \Rightarrow \frac{1}{63.\overline{3}} \approx 1.57\%</span></td><td align="center"><span class="math">\frac{(1+15)+(1+15)} {2\times380} \Rightarrow \frac{1}{23.75} \approx 4.21\%</span></td></tr><tr><td align="center">3</td><td align="center"><span class="math">0.277\%</span></td><td align="center"><span class="math">\frac{18}{3\ *\ 360} \Rightarrow \frac{1}{60} \approx 1.66\%</span></td><td align="center"><span class="math">\frac{48}{3\times360} \Rightarrow \frac{1}{22.5} \approx 4.44\%</span></td></tr><tr><td align="center">4</td><td align="center"><span class="math">0.294\%</span></td><td align="center"><span class="math">\frac{24}{4\times340} \Rightarrow \frac{1}{56.\overline{6}} \approx 1.75\%</span></td><td align="center"><span class="math">\frac{64}{4\times340} \Rightarrow \frac{1}{21.25} \approx 4.7\%</span></td></tr><tr><td align="center">5</td><td align="center"><span class="math">0.312\%</span></td><td align="center"><span class="math">\frac{30}{5\times320} \Rightarrow \frac{1}{53.\overline{3}} \approx 1.87\%</span></td><td align="center"><span class="math">\frac{80}{5\times320} \Rightarrow \frac{1}{20} \approx 5\%</span></td></tr></tbody></table>

<figure><img src="https://722257079-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FDZYUul2mf9zcdDxeTpsK%2Fuploads%2FjA6nSzFDw7xNKgNiS6P4%2Fimage.png?alt=media&amp;token=0583fadc-6874-4a24-a39f-ade9c028663b" alt="" width="563"><figcaption><p><em>Legendary Raid Boss</em></p></figcaption></figure>

## Boss Sets

Each Legendary Boss uses a fixed competitive set, with its own moves, nature, EV spread and held item.

* **IVs** depend on the boss's base stat total. A Legendary with a base stat total of **570** or lower has **31** IVs in every stat, with **1** IV less for every **10** points above that, down to **20** for Legendaries such as Mewtwo, Dialga and Palkia.
* **EVs** are spread across HP, Defense, Sp. Def, and either Attack or Sp. Atk to match the boss's moves.
* **Giratina** knows **Roar** and **Ting-Lu** knows **Whirlwind**, which they use once your Pokémon has raised its stats by **2** stages (see [Boss Moves and AI](/features/battling/raids/raid-phases/battle.md#boss-moves-and-ai)).

{% hint style="info" %}
The boss's IVs and EVs do not carry over to the Legendary you catch.
{% endhint %}

## Species Pool

{% columns %}
{% column width="58.333333333333336%" %}
Five [Legendary Pokémon](/pokemon-spawns/legendary-pokemon.md) are included in the Legendary Boss pool at a time. Every Sunday at midnight PT, the pool rotates with a new set of species. View the current pool in the Legend Rotations tab of the `/raids` menu.
{% endcolumn %}

{% column width="41.666666666666664%" %}

<figure><img src="https://722257079-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FDZYUul2mf9zcdDxeTpsK%2Fuploads%2FWTtGsoX4BIMqfScamQ2f%2Fraid_legends.png?alt=media&amp;token=2a3b62d2-c376-4fce-beef-67e192008443" alt="" width="308"><figcaption><p><em>Legend rotations menu</em></p></figcaption></figure>
{% endcolumn %}
{% endcolumns %}

<table data-view="cards"><thead><tr><th align="center"></th></tr></thead><tbody><tr><td align="center">Xerneas</td></tr><tr><td align="center">Yveltal</td></tr><tr><td align="center">Rayquaza</td></tr><tr><td align="center">Groudon</td></tr><tr><td align="center">Regigigas</td></tr><tr><td align="center">Regieleki</td></tr><tr><td align="center">Regidrago</td></tr><tr><td align="center">Zarude</td></tr><tr><td align="center">Iron Leaves</td></tr><tr><td align="center">Iron Boulder</td></tr><tr><td align="center">Iron Crown</td></tr><tr><td align="center">Walking Wake</td></tr><tr><td align="center">Gouging Fire</td></tr><tr><td align="center">Chien-Pao</td></tr><tr><td align="center">Chi-Yu</td></tr><tr><td align="center">Palkia</td></tr><tr><td align="center">Giratina</td></tr><tr><td align="center">Dialga</td></tr><tr><td align="center">Mewtwo</td></tr><tr><td align="center">Genesect</td></tr><tr><td align="center">Ting-Lu</td></tr><tr><td align="center">Wo-Chien</td></tr></tbody></table>


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