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Beesmas Tree Hat/Probability

The tables below give the probability of a stat of Beesmas Tree Hat 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%

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

+Critical Chance%

Potential Stat ranges Average
+2% +3% +4% +5%
0 ★ 46.529% 38.128% 13.869% 1.473% +2.7%
0.5 ★ 34.018% 48.419% 15.914% 1.648% +2.9%
1 ★ 10.694% 68.731% 18.704% 1.871% +3.1%
1.5 ★ 5.854% 69.201% 22.781% 2.164% +3.2%
2 ★ 4.09% 63.828% 29.517% 2.565% +3.3%
2.5 ★ 3.151% 46.849% 46.849% 3.151% +3.5%
3 ★ 2.565% 29.517% 63.828% 4.09% +3.7%
3.5 ★ 2.164% 22.781% 69.201% 5.854% +3.8%
4 ★ 1.871% 18.704% 68.731% 10.694% +3.9%
4.5 ★ 1.648% 15.914% 48.419% 34.018% +4.1%
5 ★ 1.473% 13.869% 38.128% 46.529% +4.3%

+Ability Pollen%

Potential Stat ranges Average
+2% +3% +4% +5%
0 ★ 46.529% 38.128% 13.869% 1.473% +2.7%
0.5 ★ 34.018% 48.419% 15.914% 1.648% +2.9%
1 ★ 10.694% 68.731% 18.704% 1.871% +3.1%
1.5 ★ 5.854% 69.201% 22.781% 2.164% +3.2%
2 ★ 4.09% 63.828% 29.517% 2.565% +3.3%
2.5 ★ 3.151% 46.849% 46.849% 3.151% +3.5%
3 ★ 2.565% 29.517% 63.828% 4.09% +3.7%
3.5 ★ 2.164% 22.781% 69.201% 5.854% +3.8%
4 ★ 1.871% 18.704% 68.731% 10.694% +3.9%
4.5 ★ 1.648% 15.914% 48.419% 34.018% +4.1%
5 ★ 1.473% 13.869% 38.128% 46.529% +4.3%

Hive Bonuses

+Capacity

Potential Stat ranges Average
+10,000 +15,000 +20,000 +25,000
0 ★ 46.529% 38.128% 13.869% 1.473% +13,514.326
0.5 ★ 34.018% 48.419% 15.914% 1.648% +14,259.663
1 ★ 10.694% 68.731% 18.704% 1.871% +15,587.602
1.5 ★ 5.854% 69.201% 22.781% 2.164% +16,062.701
2 ★ 4.09% 63.828% 29.517% 2.565% +16,527.868
2.5 ★ 3.151% 46.849% 46.849% 3.151% +17,500
3 ★ 2.565% 29.517% 63.828% 4.09% +18,472.132
3.5 ★ 2.164% 22.781% 69.201% 5.854% +18,937.299
4 ★ 1.871% 18.704% 68.731% 10.694% +19,412.398
4.5 ★ 1.648% 15.914% 48.419% 34.018% +20,740.337
5 ★ 1.473% 13.869% 38.128% 46.529% +21,485.674

+Convert Rate At Hive%

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

Potential Stat ranges Average
+3%-+3.1% +3.1%-+3.2% +3.2%-+3.3% +3.3%-+3.4% +3.4%-+3.5% +3.5%-+3.6% +3.6%-+3.7% +3.7%-+3.8% +3.8%-+3.9% +3.9%-+4% +4%-+4.1% +4.1%-+4.2% +4.2%-+4.3% +4.3%-+4.4% +4.4%-+4.5% +4.5%-+4.6% +4.6%-+4.7% +4.7%-+4.8% +4.8%-+4.9% +4.9%-+5%
0 ★ 19.979% 13.047% 10.431% 8.732% 7.469% 6.462% 5.625% 4.908% 4.281% 3.725% 3.224% 2.769% 2.351% 1.966% 1.609% 1.275% 0.963% 0.668% 0.39% 0.127% +3.5%
0.5 ★ 1.534% 8.466% 19.452% 12.52% 9.904% 8.205% 6.942% 5.935% 5.098% 4.381% 3.754% 3.198% 2.697% 2.242% 1.825% 1.44% 1.082% 0.749% 0.436% 0.142% +3.6%
1 ★ 0.685% 2.384% 5% 11.931% 18.863% 11.931% 9.315% 7.616% 6.353% 5.346% 4.509% 3.792% 3.165% 2.609% 2.108% 1.653% 1.236% 0.851% 0.493% 0.16% +3.7%
1.5 ★ 0.442% 1.449% 2.712% 4.411% 7.027% 13.959% 18.195% 11.264% 8.648% 6.949% 5.685% 4.678% 3.841% 3.124% 2.498% 1.941% 1.44% 0.985% 0.568% 0.183% +3.8%
2 ★ 0.326% 1.043% 1.88% 2.887% 4.151% 5.849% 8.466% 15.397% 17.425% 10.493% 7.877% 6.178% 4.914% 3.908% 3.07% 2.354% 1.727% 1.17% 0.67% 0.214% +3.9%
2.5 ★ 0.259% 0.815% 1.442% 2.159% 2.996% 4.0029% 5.266% 6.965% 9.581% 16.513% 16.513% 9.581% 6.965% 5.266% 4.0029% 2.996% 2.159% 1.442% 0.815% 0.259% +4%
3 ★ 0.214% 0.67% 1.17% 1.727% 2.354% 3.07% 3.908% 4.914% 6.178% 7.877% 10.493% 17.425% 15.397% 8.466% 5.849% 4.151% 2.887% 1.88% 1.043% 0.326% +4.1%
3.5 ★ 0.183% 0.568% 0.985% 1.44% 1.941% 2.498% 3.124% 3.841% 4.678% 5.685% 6.949% 8.648% 11.264% 18.195% 13.959% 7.027% 4.411% 2.712% 1.449% 0.442% +4.2%
4 ★ 0.16% 0.493% 0.851% 1.236% 1.653% 2.108% 2.609% 3.165% 3.792% 4.509% 5.346% 6.353% 7.616% 9.315% 11.931% 18.863% 11.931% 5% 2.384% 0.685% +4.3%
4.5 ★ 0.142% 0.436% 0.749% 1.082% 1.44% 1.825% 2.242% 2.697% 3.198% 3.754% 4.381% 5.098% 5.935% 6.942% 8.205% 9.904% 12.52% 19.452% 8.466% 1.534% +4.4%
5 ★ 0.127% 0.39% 0.668% 0.963% 1.275% 1.609% 1.966% 2.351% 2.769% 3.224% 3.725% 4.281% 4.908% 5.625% 6.462% 7.469% 8.732% 10.431% 13.047% 19.979% +4.5%

Upgrade

Bee Stats

+Convert Amount%

Potential Stat ranges Average
+1% +2%
0 ★ 84.657% 15.343% +1.2%
0.5 ★ 83.906% 16.094% +1.2%
1 ★ 82.852% 17.148% +1.2%
1.5 ★ 81.267% 18.733% +1.2%
2 ★ 78.601% 21.399% +1.2%
2.5 ★ 73.105% 26.895% +1.3%
3 ★ 50% 50% +1.5%
3.5 ★ 24.945% 75.055% +1.8%
4 ★ 20.575% 79.425% +1.8%
4.5 ★ 17.563% 82.437% +1.8%
5 ★ 15.343% 84.657% +1.8%

Hive Bonuses

+Capacity

Potential Stat ranges Average
+250 +500 +750 +1,000
0 ★ 46.529% 38.128% 13.869% 1.473% +425.716
0.5 ★ 40.445% 43.056% 14.933% 1.566% +444.049
1 ★ 29.352% 52.421% 16.527% 1.699% +476.433
1.5 ★ 9.504% 69.398% 19.189% 1.908% +533.752
2 ★ 5.114% 67.991% 24.613% 2.283% +560.159
2.5 ★ 3.151% 46.849% 46.849% 3.151% +625
3 ★ 2.565% 29.517% 63.828% 4.09% +673.607
3.5 ★ 2.164% 22.781% 69.201% 5.854% +696.865
4 ★ 1.871% 18.704% 68.731% 10.694% +720.62
4.5 ★ 1.648% 15.914% 48.419% 34.018% +787.017
5 ★ 1.473% 13.869% 38.128% 46.529% +824.284