> 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 **Hard** and **Wildcard** [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 :shield_sapphire:

[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.

Party Size	Chance Bonus
1	0%
2	5%
3	10%
4	15%
5	20%

Legendary Boss Chance Formula

\begin{aligned} P(\text{Legendary}) &= \frac{ \sum_{i=1}^{n}(1 + p_i) }{ n \cdot d \cdot (1 - b_n) } \\[0.75em] \text{where } n &= \text{party size},\\ d &= \text{difficulty tier base chance denominator},\\ p_i &= \text{legendary pity of player } i,\\ b_n &= \text{party-size bonus for a party of size } n. \end{aligned}

b_n \;=\; \begin{cases} 0 & \text{if } n = 1, \\ 0.05 & \text{if } n = 2, \\ 0.10 & \text{if } n = 3, \\ 0.15 & \text{if } n = 4, \\ 0.20 & \text{if } n = 5. \end{cases}

## Legendary Pity Each player builds **Legendary Pity** by completing **Hard** and **Wildcard** 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 :shield_sapphire:

**Platinum** raid, which has a base chance of $$\frac{1}{400} = 0.25%$$.

Party Size	0 pity/player	5 pity/player	15 pity/player
1	0.25\%	\frac{1+5}{1\times400} \Rightarrow \frac{1}{66.\overline{6}} \approx 1.5\%	\frac{1\ +\ 15}{1\times400} \Rightarrow \frac{1}{25} \approx 4\%
2	0.263\%	\frac{(1+5)+(1+5)} {2\times380} \Rightarrow \frac{1}{63.\overline{3}} \approx 1.57\%	\frac{(1+5)+(1+5)} {2\times380} \Rightarrow \frac{1}{23.75} \approx 4.21\%
3	0.277\%	\frac{18}{3\ *\ 360} \Rightarrow \frac{1}{60} \approx 1.66\%	\frac{48}{3\times360} \Rightarrow \frac{1}{22.5} \approx 4.44\%
4	0.294\%	\frac{24}{4\times340} \Rightarrow \frac{1}{56.\overline{6}} \approx 1.75\%	\frac{64}{4\times340} \Rightarrow \frac{1}{21.25} \approx 4.7\%
5	0.312\%	\frac{30}{5\times320} \Rightarrow \frac{1}{53.\overline{3}} \approx 1.87\%	\frac{80}{5\times320} \Rightarrow \frac{1}{20} \approx 5\%

## Species Pool 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.


Xerneas
Yveltal
Rayquaza
Groudon
Regigigas
Regieleki
Regidrago
Zarude
Iron Leaves
Iron Boulder
Iron Crown
Walking Wake
Gouging Fire
Chien-Pao
Chi-Yu
Palkia
Giratina
Dialga
Mewtwo

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