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Toy Horn/Probability

The tables below give the probability of a stat of Toy Horn falling within a more precise range, and being upgraded within a more precise range by a wax point. Note that only stats that have a range of base/upgrade stats are shown.

Due to the size of the tables affecting readability, it has been moved to a separate subpage.

Results are rounded to the 3rd-5th decimal digits. Note that the precise percentages may be off due to floating point errors.
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Base

Bee Stats

+Convert Amount

Note that this stat may be displayed as its rounded value in-game. It is not rounded internally, however.

Potential Stat ranges Average
+30-+30.4 +30.4-+30.8 +30.8-+31.2 +31.2-+31.6 +31.6-+32 +32-+32.4 +32.4-+32.8 +32.8-+33.2 +33.2-+33.6 +33.6-+34 +34-+34.4 +34.4-+34.8 +34.8-+35.2 +35.2-+35.6 +35.6-+36 +36-+36.4 +36.4-+36.8 +36.8-+37.2 +37.2-+37.6 +37.6-+38 +38-+38.4 +38.4-+38.8 +38.8-+39.2 +39.2-+39.6 +39.6-+40 +40-+40.4 +40.4-+40.8 +40.8-+41.2 +41.2-+41.6 +41.6-+42 +42-+42.4 +42.4-+42.8 +42.8-+43.2 +43.2-+43.6 +43.6-+44 +44-+44.4 +44.4-+44.8 +44.8-+45.2 +45.2-+45.6 +45.6-+46 +46-+46.4 +46.4-+46.8 +46.8-+47.2 +47.2-+47.6 +47.6-+48 +48-+48.4 +48.4-+48.8 +48.8-+49.2 +49.2-+49.6 +49.6-+50 +50-+50.4 +50.4-+50.8 +50.8-+51.2 +51.2-+51.6 +51.6-+52 +52-+52.4 +52.4-+52.8 +52.8-+53.2 +53.2-+53.6 +53.6-+54 +54-+54.4 +54.4-+54.8 +54.8-+55.2 +55.2-+55.6 +55.6-+56 +56-+56.4 +56.4-+56.8 +56.8-+57.2 +57.2-+57.6 +57.6-+58 +58-+58.4 +58.4-+58.8 +58.8-+59.2 +59.2-+59.6 +59.6-+60
0 ★ 7.09% 5.242% 4.544% 4.091% 3.754% 3.485% 3.262% 3.071% 2.904% 2.756% 2.622% 2.501% 2.389% 2.287% 2.191% 2.102% 2.019% 1.941% 1.866% 1.796% 1.73% 1.666% 1.605% 1.547% 1.492% 1.438% 1.387% 1.338% 1.29% 1.244% 1.2% 1.157% 1.115% 1.075% 1.035% 0.997% 0.96% 0.924% 0.889% 0.855% 0.822% 0.789% 0.757% 0.726% 0.696% 0.666% 0.637% 0.609% 0.581% 0.554% 0.527% 0.501% 0.476% 0.45% 0.426% 0.401% 0.378% 0.354% 0.331% 0.309% 0.286% 0.265% 0.243% 0.222% 0.201% 0.181% 0.16% 0.14% 0.121% 0.102% 0.083% 0.064% 0.045% 0.027% 0.0089% +37.5
0.5 ★ 0.093% 0.299% 0.543% 0.842% 1.228% 1.776% 2.747% 6.409% 5.676% 4.706% 4.158% 3.771% 3.472% 3.229% 3.023% 2.844% 2.687% 2.547% 2.419% 2.303% 2.197% 2.098% 2.0057% 1.92% 1.839% 1.763% 1.69% 1.622% 1.557% 1.495% 1.436% 1.379% 1.324% 1.272% 1.222% 1.173% 1.127% 1.081% 1.038% 0.995% 0.954% 0.914% 0.876% 0.838% 0.802% 0.766% 0.731% 0.698% 0.665% 0.633% 0.601% 0.571% 0.541% 0.511% 0.483% 0.455% 0.427% 0.4% 0.374% 0.348% 0.322% 0.298% 0.273% 0.249% 0.225% 0.202% 0.179% 0.157% 0.135% 0.113% 0.092% 0.071% 0.05% 0.03% 0.0099% +39
1 ★ 0.045% 0.141% 0.243% 0.355% 0.476% 0.61% 0.758% 0.925% 1.116% 1.34% 1.608% 1.945% 2.398% 3.096% 4.944% 6.792% 4.944% 4.246% 3.793% 3.456% 3.188% 2.965% 2.774% 2.606% 2.458% 2.324% 2.203% 2.092% 1.989% 1.894% 1.805% 1.722% 1.643% 1.569% 1.499% 1.432% 1.369% 1.308% 1.25% 1.194% 1.141% 1.09% 1.04% 0.993% 0.947% 0.902% 0.859% 0.818% 0.777% 0.738% 0.7% 0.663% 0.627% 0.592% 0.557% 0.524% 0.492% 0.46% 0.429% 0.399% 0.369% 0.34% 0.312% 0.284% 0.257% 0.23% 0.204% 0.178% 0.153% 0.128% 0.104% 0.08% 0.057% 0.034% 0.011% +40.5
1.5 ★ 0.03% 0.092% 0.157% 0.226% 0.298% 0.374% 0.455% 0.541% 0.633% 0.732% 0.839% 0.955% 1.082% 1.222% 1.38% 1.558% 1.764% 2.0077% 2.306% 2.693% 3.241% 4.212% 6.974% 5.341% 4.371% 3.822% 3.436% 3.137% 2.894% 2.688% 2.509% 2.352% 2.212% 2.084% 1.968% 1.861% 1.763% 1.671% 1.585% 1.504% 1.427% 1.355% 1.287% 1.222% 1.16% 1.101% 1.044% 0.989% 0.937% 0.887% 0.838% 0.791% 0.746% 0.702% 0.66% 0.619% 0.579% 0.541% 0.503% 0.467% 0.431% 0.396% 0.363% 0.33% 0.298% 0.266% 0.236% 0.206% 0.176% 0.148% 0.12% 0.092% 0.065% 0.039% 0.013% +42
2 ★ 0.022% 0.068% 0.116% 0.165% 0.217% 0.27% 0.326% 0.384% 0.444% 0.508% 0.575% 0.645% 0.719% 0.797% 0.881% 0.97% 1.065% 1.168% 1.279% 1.4% 1.534% 1.682% 1.849% 2.041% 2.264% 2.532% 2.869% 3.322% 4.02% 5.868% 6.409% 4.56% 3.863% 3.41% 3.073% 2.804% 2.581% 2.39% 2.223% 2.074% 1.941% 1.82% 1.708% 1.606% 1.51% 1.421% 1.338% 1.259% 1.185% 1.115% 1.048% 0.985% 0.924% 0.866% 0.811% 0.757% 0.706% 0.657% 0.609% 0.563% 0.519% 0.476% 0.434% 0.394% 0.354% 0.316% 0.279% 0.243% 0.208% 0.174% 0.141% 0.108% 0.076% 0.045% 0.015% +43.5
2.5 ★ 0.018% 0.054% 0.092% 0.131% 0.17% 0.212% 0.254% 0.298% 0.343% 0.39% 0.438% 0.488% 0.541% 0.595% 0.652% 0.711% 0.773% 0.838% 0.907% 0.979% 1.055% 1.136% 1.222% 1.314% 1.413% 1.52% 1.636% 1.763% 1.904% 2.061% 2.239% 2.445% 2.689% 2.988% 3.374% 3.922% 4.893% 7.09% 4.893% 3.922% 3.374% 2.988% 2.689% 2.445% 2.239% 2.061% 1.904% 1.763% 1.636% 1.52% 1.413% 1.314% 1.222% 1.136% 1.055% 0.979% 0.907% 0.838% 0.773% 0.711% 0.652% 0.595% 0.541% 0.488% 0.438% 0.39% 0.343% 0.298% 0.254% 0.212% 0.17% 0.131% 0.092% 0.054% 0.018% +45
3 ★ 0.015% 0.045% 0.076% 0.108% 0.141% 0.174% 0.208% 0.243% 0.279% 0.316% 0.354% 0.394% 0.434% 0.476% 0.519% 0.563% 0.609% 0.657% 0.706% 0.757% 0.811% 0.866% 0.924% 0.985% 1.048% 1.115% 1.185% 1.259% 1.338% 1.421% 1.51% 1.606% 1.708% 1.82% 1.941% 2.074% 2.223% 2.39% 2.581% 2.804% 3.073% 3.41% 3.863% 4.56% 6.409% 5.868% 4.02% 3.322% 2.869% 2.532% 2.264% 2.041% 1.849% 1.682% 1.534% 1.4% 1.279% 1.168% 1.065% 0.97% 0.881% 0.797% 0.719% 0.645% 0.575% 0.508% 0.444% 0.384% 0.326% 0.27% 0.217% 0.165% 0.116% 0.068% 0.022% +46.5
3.5 ★ 0.013% 0.039% 0.065% 0.092% 0.12% 0.148% 0.176% 0.206% 0.236% 0.266% 0.298% 0.33% 0.363% 0.396% 0.431% 0.467% 0.503% 0.541% 0.579% 0.619% 0.66% 0.702% 0.746% 0.791% 0.838% 0.887% 0.937% 0.989% 1.044% 1.101% 1.16% 1.222% 1.287% 1.355% 1.427% 1.504% 1.585% 1.671% 1.763% 1.861% 1.968% 2.084% 2.212% 2.352% 2.509% 2.688% 2.894% 3.137% 3.436% 3.822% 4.371% 5.341% 6.974% 4.212% 3.241% 2.693% 2.306% 2.0077% 1.764% 1.558% 1.38% 1.222% 1.082% 0.955% 0.839% 0.732% 0.633% 0.541% 0.455% 0.374% 0.298% 0.226% 0.157% 0.092% 0.03% +48
4 ★ 0.011% 0.034% 0.057% 0.08% 0.104% 0.128% 0.153% 0.178% 0.204% 0.23% 0.257% 0.284% 0.312% 0.34% 0.369% 0.399% 0.429% 0.46% 0.492% 0.524% 0.557% 0.592% 0.627% 0.663% 0.7% 0.738% 0.777% 0.818% 0.859% 0.902% 0.947% 0.993% 1.04% 1.09% 1.141% 1.194% 1.25% 1.308% 1.369% 1.432% 1.499% 1.569% 1.643% 1.722% 1.805% 1.894% 1.989% 2.092% 2.203% 2.324% 2.458% 2.606% 2.774% 2.965% 3.188% 3.456% 3.793% 4.246% 4.944% 6.792% 4.944% 3.096% 2.398% 1.945% 1.608% 1.34% 1.116% 0.925% 0.758% 0.61% 0.476% 0.355% 0.243% 0.141% 0.045% +49.5
4.5 ★ 0.0099% 0.03% 0.05% 0.071% 0.092% 0.113% 0.135% 0.157% 0.179% 0.202% 0.225% 0.249% 0.273% 0.298% 0.322% 0.348% 0.374% 0.4% 0.427% 0.455% 0.483% 0.511% 0.541% 0.571% 0.601% 0.633% 0.665% 0.698% 0.731% 0.766% 0.802% 0.838% 0.876% 0.914% 0.954% 0.995% 1.038% 1.081% 1.127% 1.173% 1.222% 1.272% 1.324% 1.379% 1.436% 1.495% 1.557% 1.622% 1.69% 1.763% 1.839% 1.92% 2.0057% 2.098% 2.197% 2.303% 2.419% 2.547% 2.687% 2.844% 3.023% 3.229% 3.472% 3.771% 4.158% 4.706% 5.676% 6.409% 2.747% 1.776% 1.228% 0.842% 0.543% 0.299% 0.093% +51
5 ★ 0.0089% 0.027% 0.045% 0.064% 0.083% 0.102% 0.121% 0.14% 0.16% 0.181% 0.201% 0.222% 0.243% 0.265% 0.286% 0.309% 0.331% 0.354% 0.378% 0.401% 0.426% 0.45% 0.476% 0.501% 0.527% 0.554% 0.581% 0.609% 0.637% 0.666% 0.696% 0.726% 0.757% 0.789% 0.822% 0.855% 0.889% 0.924% 0.96% 0.997% 1.035% 1.075% 1.115% 1.157% 1.2% 1.244% 1.29% 1.338% 1.387% 1.438% 1.492% 1.547% 1.605% 1.666% 1.73% 1.796% 1.866% 1.941% 2.019% 2.102% 2.191% 2.287% 2.389% 2.501% 2.622% 2.756% 2.904% 3.071% 3.262% 3.485% 3.754% 4.091% 4.544% 5.242% 7.09% +52.5

+Ability Pollen%

Potential Stat ranges Average
+1% +2% +3% +4% +5%
0 ★ 38.493% 35.788% 17.594% 7.309% 0.816% +2%
0.5 ★ 21.459% 48.646% 20.693% 8.291% 0.911% +2.2%
1 ★ 5.144% 58.953% 25.285% 9.586% 1.032% +2.4%
1.5 ★ 3.068% 51.184% 33.184% 11.375% 1.189% +2.6%
2 ★ 2.196% 28.373% 54.00013% 14.028% 1.403% +2.8%
2.5 ★ 1.712% 18.459% 59.657% 18.459% 1.712% +3%
3 ★ 1.403% 14.028% 54.00013% 28.373% 2.196% +3.2%
3.5 ★ 1.189% 11.375% 33.184% 51.184% 3.068% +3.4%
4 ★ 1.032% 9.586% 25.285% 58.953% 5.144% +3.6%
4.5 ★ 0.911% 8.291% 20.693% 48.646% 21.459% +3.8%
5 ★ 0.816% 7.309% 17.594% 35.788% 38.493% +4%

-Energy%

Potential Stat ranges Average
-20% -19% -18% -17% -16% -15% -14% -13% -12% -11% -10%
0 ★ 19.979% 23.478% 16.201% 12.086% 9.189% 6.948% 5.12% 3.575% 2.238% 1.059% 0.127% -17.5%
0.5 ★ 1.534% 27.918% 22.425% 15.147% 11.033% 8.135% 5.895% 4.066% 2.522% 1.184% 0.142% -17%
1 ★ 0.685% 7.384% 30.794% 21.247% 13.969% 9.855% 6.958% 4.717% 2.888% 1.344% 0.16% -16.5%
1.5 ★ 0.442% 4.161% 11.438% 32.154% 19.911% 12.634% 8.52% 5.622% 3.381% 1.553% 0.183% -16%
2 ★ 0.326% 2.924% 7.038% 14.315% 32.822% 18.37% 11.092% 6.978% 4.081% 1.84% 0.214% -15.5%
2.5 ★ 0.259% 2.258% 5.155% 9.269% 16.547% 33.026% 16.547% 9.269% 5.155% 2.258% 0.259% -15%
3 ★ 0.214% 1.84% 4.081% 6.978% 11.092% 18.37% 32.822% 14.315% 7.038% 2.924% 0.326% -14.5%
3.5 ★ 0.183% 1.553% 3.381% 5.622% 8.52% 12.634% 19.911% 32.154% 11.438% 4.161% 0.442% -14%
4 ★ 0.16% 1.344% 2.888% 4.717% 6.958% 9.855% 13.969% 21.247% 30.794% 7.384% 0.685% -13.5%
4.5 ★ 0.142% 1.184% 2.522% 4.066% 5.895% 8.135% 11.033% 15.147% 22.425% 27.918% 1.534% -13%
5 ★ 0.127% 1.059% 2.238% 3.575% 5.12% 6.948% 9.189% 12.086% 16.201% 23.478% 19.979% -12.5%

Upgrade

Bee Stats

+Convert Amount

Potential Stat ranges Average
+3 +4 +5 +6
0 ★ 46.529% 38.128% 13.869% 1.473% +3.703
0.5 ★ 42.662% 41.244% 14.561% 1.534% +3.75
1 ★ 36.649% 46.203% 15.531% 1.616% +3.821
1.5 ★ 25.199% 56.068% 16.996% 1.737% +3.953
2 ★ 8.965% 69.636% 19.47% 1.929% +4.144
2.5 ★ 5.114% 67.991% 24.613% 2.283% +4.241
3 ★ 3.151% 46.849% 46.849% 3.151% +4.5
3.5 ★ 2.164% 22.781% 69.201% 5.854% +4.787
4 ★ 1.871% 18.704% 68.731% 10.694% +4.882
4.5 ★ 1.648% 15.914% 48.419% 34.018% +5.148
5 ★ 1.473% 13.869% 38.128% 46.529% +5.297