# 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 <mark style="color:red;">**Hard Raids**</mark> that do **not** become Legendary Raids. Upon starting a Legendary Raid, the pity values of the participating party members are reset.

When a new <mark style="color:red;">**Hard Raid**</mark> 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:

<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+5)+(1+5)} {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="/files/vqcdD4dFj5jM5RpBkE0O" alt="" width="375"><figcaption><p><em>Legendary Raid Boss</em></p></figcaption></figure>

## Species Pool

<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></tbody></table>


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