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Dragon Tower Defense

Summon Calculator

Luck and passes
Luck
x1
100 summons cost
9,000
Shiny chance
1 in 100
A Shiny in 100
63.4%

Luck doubles every slot under 10% once per doubling, never past 10%, and takes the difference out of Common. The pass and the potion stack to x4.

  • Secret0.01% a summon (1 in 10,000)Average wait 10,000 summons, 90% by 23,025. Shiny Secret: 1 in 1,000,000. One of 2: Prism, Titan.1%in 100
  • Mythic0.1% a summon (1 in 1,000), guaranteed by summon 1,000Average wait 632 summons, 90% by 1,000. Shiny Mythic: 1 in 100,000. One of 3: Void, Minigunner, Nuke.9.52%in 100
  • Legendary1% a summon (1 in 100), guaranteed by summon 100Average wait 63 summons, 90% by 100. Shiny Legendary: 1 in 10,000. One of 6: Fire, Moon, Sun, Dragoness, Assassin, Bomb.100%in 100
  • Epic4% a summon (1 in 25)Average wait 25 summons, 90% by 57. Shiny Epic: 1 in 2,500. One of 6: Ice, Storm, Magma, Spirit, Gold, Boulder.98.3%in 100
  • Rare15% a summon (1 in 7)Average wait 6.7 summons, 90% by 15. Shiny Rare: 1 in 667. One of 3: Wind, Rock, Shadow.100%in 100
  • Uncommon30% a summon (1 in 3)Average wait 3.3 summons, 90% by 7. Shiny Uncommon: 1 in 333. One of 3: Earth, Thorn, Lightning.100%in 100
  • Common49.9% a summon (1 in 2)Average wait 2 summons, 90% by 4. Shiny Common: 1 in 200. One of 4: Leaf, Water, Cloud, Mushroom.100%in 100

Where the odds come from

The base table and the pity counters are the game's own summon settings, and luck runs the game's summonOdds: each slot under 10% doubles once per luck doubling and stops at 10%. The Secret slot (0.01%) is taken out of Common. Which dragon a slot holds this hour is on the Summon board.

Lucky Summon odds

Rarity10x luck20x luck50x luck
Secret0.1%0.2%0.5%
Mythic1%2%5%
Legendary10%20%50%
Epic40%77.8%44.5%
Rare48.9%0%0%
Uncommon0%0%0%
Common0%0%0%

Questions

What are the summon odds in Dragon Tower Defense?

Common 49.89%, Uncommon 30%, Rare 15%, Epic 4%, Legendary 1%, Mythic 0.1%, Secret 0.01%. The rarity is rolled first; the dragon is whichever one the Summon board holds in that slot this hour.

How does pity work?

Two counters run on your summons. You're guaranteed a Legendary by summon 100 since your last one and a Mythic by summon 1,000. With them, a Legendary takes 63 summons on average and a Mythic 632. Secret has no pity.

What does luck do?

The 2x Luck pass and the Luck Potion each double the chance of every slot under 10%, capped at 10%. With both, Epic goes from 4% to 10%, Legendary from 1% to 4% and Secret from 0.01% to 0.04%. Common gives up the difference.

How rare is a Secret dragon?

0.01% a summon, 1 in 10,000. With x4 luck that's 1 in 2,500. At 900 Coins per ten summons, the average Secret costs about 900,000 Coins with no luck.

What is a Lucky Summon?

A prize from Endless waves, the battle pass and the Endless Shop that multiplies every chance instead of doubling under 10%. At 10x luck it gives Secret 0.1%, Mythic 1%, Legendary 10%, Epic 40%, Rare 48.9%; at 20x it's always Epic or better.