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Rarities with 0 Luck

Level 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Tier 1 100% 94% 88% 80% 72% 64% 56% 47.77% 39.54% 31.31% 23.08% 20.85% 18.62% 16.39% 14.16% 12.93% 12.7% 12.47% 12.24%
Tier 2 0% 6% 12% 18% 24% 30% 36% 42% 48% 52% 60% 60% 60% 60% 60% 60% 60% 60% 60%
Tier 3 0% 0% 0% 2% 4% 6% 8% 10% 12% 14% 16% 18% 20% 22% 24% 25% 25% 25% 25%
Tier 4 0% 0% 0% 0% 0% 0% 0% 0.23% 0.46% 0.69% 0.92% 1.15% 1.38% 1.61% 1.84% 2.07% 2.3% 2.53% 2.76%

Luck increases these chances by x%, but that still cannot exceed the Max Chance.

For example:

  • In level 10 with 0 Luck, the chance for Tier 3 is 2*7 = 14% -- extrapolated: ( 2% * ( 10 - 3 ) + 0% ) * ( 100% + 0% )
  • In level 10 with 50 Luck, it increases by 50%, 2*10.5 = 21% -- extrapolated: ( 2% * ( 10 - 3 ) + 0% ) * ( 100% + 50% )
  • In level 10 with 100 Luck, it increases by 100%, 2*14 = 28% -- extrapolated: ( 2% * ( 10 - 3 ) + 0% ) * ( 100% + 100% )
    • However, Max Chance for Tier 3 is 25%, so the chance for Tier 3 ends up as 25%.

Rarities with 50 Luck

Increases chances by 50% (*1.5), up to the Max Chance.

Level 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Tier 1 100% 91% 82% 70% 58% 46% 34% 24.66% 21.31% 17.96% 14.62% 13.28% 12.93% 12.59% 12.24% 11.89% 11.55% 11.21% 10.86%
Tier 2 0% 9% 18% 27% 36% 45% 54% 60% 60% 60% 60% 60% 60% 60% 60% 60% 60% 60% 60%
Tier 3 0% 0% 0% 3% 6% 9% 12% 15% 18% 21% 24% 25% 25% 25% 25% 25% 25% 25% 25%
Tier 4 0% 0% 0% 0% 0% 0% 0% 0.35% 0.69% 1.04% 1.38% 1.73% 2.07% 2.42% 2.76% 3.11% 3.45% 3.8% 4.14%

Rarities with 100 Luck

Increases chances by 100% (*2), up to the Max Chance.

Level 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Tier 1 100% 88% 76% 60% 44% 28% 24% 19.54% 15.08% 13.62% 13.16% 12.7% 12.24% 11.78% 11.32% 10.86% 10.4% 9.94% 9.48%
Tier 2 0% 12% 24% 36% 48% 60% 60% 60% 60% 60% 60% 60% 60% 60% 60% 60% 60% 60% 60%
Tier 3 0% 0% 0% 4% 8% 12% 16% 20% 24% 25% 25% 25% 25% 25% 25% 25% 25% 25% 25%
Tier 4 0% 0% 0% 0% 0% 0% 0% 0.46% 0.92% 1.38% 1.84% 2.3% 2.76% 3.22% 3.68% 4.14% 4.6% 5.06% 5.52%