# Legendary Raids Legendary Raids are a special variant of **Hard Raids** where the Raid Boss is replaced with a Legendary Pokémon. 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. | Party Size | Legendary Chance | Shiny Legendary Chance | Legendary HA Chance | | :--------: | :--------------: | :--------------------: | :-----------------: | | 1 | 1/400 | 1/100 | 1/30 | | 2 | 1/380 | 1/100 | 1/30 | | 3 | 1/360 | 1/100 | 1/30 | | 4 | 1/340 | 1/100 | 1/30 | | 5 | 1/320 | 1/100 | 1/30 | ## Legendary Pity Each player builds **Legendary Pity** by completing **Hard Raids** that do **not** become Legendary Raids. Upon starting a Legendary Raid, the pity values of the participating party members are reset. When a new **Hard Raid** starts, the party’s Legendary chance is calculated as follows: $$ \text{Legendary chance} ======================= \frac{\sum (1 + \text{player pity})}{\text{party size}\times\text{base chance denoninator}} $$ Here are some example scenarios:

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


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