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Paperclip/Probability

The tables below give the probability of a stat of Paperclip 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

+Ability Rate%

Potential Stat ranges Average
+1% +2% +3%
0 ★ 59.657% 36.919% 3.424% +1.4%
0.5 ★ 51.876% 44.276% 3.848% +1.5%
1 ★ 38.863% 56.745% 4.392% +1.7%
1.5 ★ 16.041% 78.841% 5.118% +1.9%
2 ★ 10.288% 83.577% 6.135% +2%
2.5 ★ 7.671% 84.657% 7.671% +2%
3 ★ 6.135% 83.577% 10.288% +2%
3.5 ★ 5.118% 78.841% 16.041% +2.1%
4 ★ 4.392% 56.745% 38.863% +2.3%
4.5 ★ 3.848% 44.276% 51.876% +2.5%
5 ★ 3.424% 36.919% 59.657% +2.6%

+Ability Pollen%

Potential Stat ranges Average
+5% +6% +7% +8% +9% +10% +11% +12% +13% +14% +15%
0 ★ 19.979% 23.478% 16.201% 12.086% 9.189% 6.948% 5.12% 3.575% 2.238% 1.059% 0.127% +7.5%
0.5 ★ 1.534% 27.918% 22.425% 15.147% 11.033% 8.135% 5.895% 4.066% 2.522% 1.184% 0.142% +8%
1 ★ 0.685% 7.384% 30.794% 21.247% 13.969% 9.855% 6.958% 4.717% 2.888% 1.344% 0.16% +8.5%
1.5 ★ 0.442% 4.161% 11.438% 32.154% 19.911% 12.634% 8.52% 5.622% 3.381% 1.553% 0.183% +9%
2 ★ 0.326% 2.924% 7.038% 14.315% 32.822% 18.37% 11.092% 6.978% 4.081% 1.84% 0.214% +9.5%
2.5 ★ 0.259% 2.258% 5.155% 9.269% 16.547% 33.026% 16.547% 9.269% 5.155% 2.258% 0.259% +10%
3 ★ 0.214% 1.84% 4.081% 6.978% 11.092% 18.37% 32.822% 14.315% 7.038% 2.924% 0.326% +10.5%
3.5 ★ 0.183% 1.553% 3.381% 5.622% 8.52% 12.634% 19.911% 32.154% 11.438% 4.161% 0.442% +11%
4 ★ 0.16% 1.344% 2.888% 4.717% 6.958% 9.855% 13.969% 21.247% 30.794% 7.384% 0.685% +11.5%
4.5 ★ 0.142% 1.184% 2.522% 4.066% 5.895% 8.135% 11.033% 15.147% 22.425% 27.918% 1.534% +12%
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%

Hive Bonuses

+Ability Token Lifespan%

Potential Stat ranges Average
+1% +2% +3%
0 ★ 59.657% 36.919% 3.424% +1.4%
0.5 ★ 51.876% 44.276% 3.848% +1.5%
1 ★ 38.863% 56.745% 4.392% +1.7%
1.5 ★ 16.041% 78.841% 5.118% +1.9%
2 ★ 10.288% 83.577% 6.135% +2%
2.5 ★ 7.671% 84.657% 7.671% +2%
3 ★ 6.135% 83.577% 10.288% +2%
3.5 ★ 5.118% 78.841% 16.041% +2.1%
4 ★ 4.392% 56.745% 38.863% +2.3%
4.5 ★ 3.848% 44.276% 51.876% +2.5%
5 ★ 3.424% 36.919% 59.657% +2.6%

Upgrade

Bee Stats

+Ability Pollen%

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

Potential Stat ranges Average
+1%-+1.1% +1.1%-+1.2% +1.2%-+1.3% +1.3%-+1.4% +1.4%-+1.5% +1.5%-+1.6% +1.6%-+1.7% +1.7%-+1.8% +1.8%-+1.9% +1.9%-+2%
0 ★ 33.026% 19.163% 13.93% 10.532% 8.0057% 5.992% 4.318% 2.884% 1.631% 0.518% +1.2%
0.5 ★ 10% 31.972% 18.109% 12.877% 9.479% 6.952% 4.939% 3.264% 1.831% 0.577% +1.3%
1 ★ 3.069% 16.931% 30.794% 16.931% 11.699% 8.301% 5.774% 3.761% 2.086% 0.653% +1.3%
1.5 ★ 1.891% 7.123% 20.986% 29.459% 15.596% 10.364% 6.966% 4.439% 2.425% 0.751% +1.4%
2 ★ 1.37% 4.768% 10% 23.863% 27.918% 14.055% 8.822% 5.424% 2.897% 0.884% +1.4%
2.5 ★ 1.074% 3.601% 6.999% 12.231% 26.094% 26.094% 12.231% 6.999% 3.601% 1.074% +1.5%
3 ★ 0.884% 2.897% 5.424% 8.822% 14.055% 27.918% 23.863% 10% 4.768% 1.37% +1.6%
3.5 ★ 0.751% 2.425% 4.439% 6.966% 10.364% 15.596% 29.459% 20.986% 7.123% 1.891% +1.6%
4 ★ 0.653% 2.086% 3.761% 5.774% 8.301% 11.699% 16.931% 30.794% 16.931% 3.069% +1.7%
4.5 ★ 0.577% 1.831% 3.264% 4.939% 6.952% 9.479% 12.877% 18.109% 31.972% 10% +1.7%
5 ★ 0.518% 1.631% 2.884% 4.318% 5.992% 8.0057% 10.532% 13.93% 19.163% 33.026% +1.8%

+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
+2%-+2.1% +2.1%-+2.2% +2.2%-+2.3% +2.3%-+2.4% +2.4%-+2.5% +2.5%-+2.6% +2.6%-+2.7% +2.7%-+2.8% +2.8%-+2.9% +2.9%-+3%
0 ★ 33.026% 19.163% 13.93% 10.532% 8.0057% 5.992% 4.318% 2.884% 1.631% 0.518% +2.2%
0.5 ★ 10% 31.972% 18.109% 12.877% 9.479% 6.952% 4.939% 3.264% 1.831% 0.577% +2.3%
1 ★ 3.069% 16.931% 30.794% 16.931% 11.699% 8.301% 5.774% 3.761% 2.086% 0.653% +2.3%
1.5 ★ 1.891% 7.123% 20.986% 29.459% 15.596% 10.364% 6.966% 4.439% 2.425% 0.751% +2.4%
2 ★ 1.37% 4.768% 10% 23.863% 27.918% 14.055% 8.822% 5.424% 2.897% 0.884% +2.4%
2.5 ★ 1.074% 3.601% 6.999% 12.231% 26.094% 26.094% 12.231% 6.999% 3.601% 1.074% +2.5%
3 ★ 0.884% 2.897% 5.424% 8.822% 14.055% 27.918% 23.863% 10% 4.768% 1.37% +2.6%
3.5 ★ 0.751% 2.425% 4.439% 6.966% 10.364% 15.596% 29.459% 20.986% 7.123% 1.891% +2.6%
4 ★ 0.653% 2.086% 3.761% 5.774% 8.301% 11.699% 16.931% 30.794% 16.931% 3.069% +2.7%
4.5 ★ 0.577% 1.831% 3.264% 4.939% 6.952% 9.479% 12.877% 18.109% 31.972% 10% +2.7%
5 ★ 0.518% 1.631% 2.884% 4.318% 5.992% 8.0057% 10.532% 13.93% 19.163% 33.026% +2.8%

Hive Bonuses

+Ability Token Lifespan%

Potential Stat ranges Average
+1% +2%
0 ★ 84.657% 15.343% +1.2%
0.5 ★ 84.462% 15.538% +1.2%
1 ★ 83.843% 16.157% +1.2%
1.5 ★ 82.689% 17.311% +1.2%
2 ★ 80.752% 19.248% +1.2%
2.5 ★ 77.465% 22.535% +1.2%
3 ★ 71.278% 28.722% +1.3%
3.5 ★ 53.932% 46.068% +1.5%
4 ★ 28.722% 71.278% +1.7%
4.5 ★ 20.226% 79.774% +1.8%
5 ★ 15.343% 84.657% +1.8%