
Summon calculator
| Reward | Base chance | Rolls on average |
|---|---|---|
| 0.010% | 10,001 | |
| 0.1% | 1,000 | |
| 1% | 100 | |
| 4% | 25 | |
| 15% | 7 | |
| 30% | 3 | |
| 49.9% | 2 |
Click a row to work out the rolls for that reward.

Where the odds come from
The banner's towers and weights are read from the game while it runs, and the crates from their configs. Luck is applied with the game's own formula: rewards at or under 2% of the pool's weight are multiplied, the common ones give up the difference, so the total stays at 100%. That's why 2x luck doubles the Special Grade but barely moves the Common.
Each tower on the banner links to its page with full stats; the towers table compares them all.
Questions
How does luck work in Sorcerer Tower Defense?
Luck only boosts the rare end of a pool: anything with 2% of the total weight or less gets its weight multiplied, and everything above that shrinks to make room. Luck sources multiply together, so the gamepass with a Super Luck Boost is 6x. The boost is capped so the common rewards always keep at least 1% between them.
What are the odds of Mass Sorcerer on the banner?
0.010% a roll with no luck, 0.020% with the 2x Luck gamepass and 0.060% with the gamepass and a Super Luck Boost.
Does luck change crate odds?
The game client doesn't show which rolls go through the luck formula, so the calculator applies luck to the banner only and shows each crate's odds as the crate lists them.

