Tools
Summoning odds calculator
Pick a Shard and a rarity to see your chance of summoning a Champion, using the game's own default chances and its Mercy System. It is an estimate of chances, not a promise: every Shard is a separate roll, and nothing here can make a summon more likely.
Your Shards
Needs JavaScript. The game's numbers are in the table below.
How the numbers are worked out
- The default chance of each rarity, the point at which the Mercy System starts and how much it adds per Shard are the game's own data for build 11.85.5. Only the maths is ours.
- Once the Mercy System has started, the chance of the next Shard is the default chance plus the increase for every Shard since it started, up to 100%. For example, if it starts after 20 Shards and adds 2% per Shard, on a default of 8% the 21st Shard has 10% and the 22nd has 12%. This is our reading of the game's own explanation; the game does not publish a formula.
- Every Champion of one rarity has the same chance, as the game says, so the chance of one particular Champion is the chance of the rarity divided by the number of Champions that can drop (last column of the table below).
- Each rarity is worked out on its own. The game says the Mercy counters of two rarities on one Shard type are tracked separately (a Legendary does not reset your Epic counter), and each Shard type has its own counters. How a raised chance for one rarity shares out the rest of the roll is not published, so that is not modelled.
- Not included: event boosts (such as double chances), Targeted Champion Boosts and guaranteed Champion offers. Count your own Shards in the game; this page cannot see your account.
The game's numbers
Game build 11.85.5. Names and most headings are the game's own text; the numbers are the game's data.
| Shard Type | Rarity | Default Summoning Chances | Starts after this many Shards without it | Chance Increase (per Shard) | Champions that can drop |
|---|---|---|---|---|---|
| Mystery | Common | 74.2% | – | – | 19 |
| Mystery | Uncommon | 24.4% | – | – | 72 |
| Mystery | Rare | 1.4% | – | – | 168 |
| Ancient | Rare | 91.5% | – | – | 168 |
| Ancient | Epic | 8% | 20 | +2% | 227 |
| Ancient | Legendary | 0.5% | 200 | +5% | 251 |
| Sacred | Epic | 94% | – | – | 215 |
| Sacred | Legendary | 6% | 12 | +2% | 247 |
| Void | Rare | 91.5% | – | – | 62 |
| Void | Epic | 8% | 20 | +2% | 60 |
| Void | Legendary | 0.5% | 200 | +5% | 84 |
| Primal | Rare | 82.5% | – | – | 168 |
| Primal | Epic | 16% | – | – | 215 |
| Primal | Legendary | 1% | 75 | +1% | 247 |
| Primal | Mythical | 0.5% | 200 | +10% | 30 |
See also the upgrade cost calculator and artifact sets. Found a mistake? Use "Report a problem" at the bottom of the page. See Data quality for what has and has not been checked.