Bottle Cap/Probability
The tables below give the probability of a stat of Bottle Cap 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%
|
+12.481
|
| 0.5 ★
|
1.534%
|
27.918%
|
22.425%
|
15.147%
|
11.033%
|
8.135%
|
5.895%
|
4.066%
|
2.522%
|
1.184%
|
0.142%
|
+12.991
|
| 1 ★
|
0.685%
|
7.384%
|
30.794%
|
21.247%
|
13.969%
|
9.855%
|
6.958%
|
4.717%
|
2.888%
|
1.344%
|
0.16%
|
+13.494
|
| 1.5 ★
|
0.442%
|
4.161%
|
11.438%
|
32.154%
|
19.911%
|
12.634%
|
8.52%
|
5.622%
|
3.381%
|
1.553%
|
0.183%
|
+13.996
|
| 2 ★
|
0.326%
|
2.924%
|
7.038%
|
14.315%
|
32.822%
|
18.37%
|
11.092%
|
6.978%
|
4.081%
|
1.84%
|
0.214%
|
+14.498
|
| 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%
|
+15.502
|
| 3.5 ★
|
0.183%
|
1.553%
|
3.381%
|
5.622%
|
8.52%
|
12.634%
|
19.911%
|
32.154%
|
11.438%
|
4.161%
|
0.442%
|
+16.0035
|
| 4 ★
|
0.16%
|
1.344%
|
2.888%
|
4.717%
|
6.958%
|
9.855%
|
13.969%
|
21.247%
|
30.794%
|
7.384%
|
0.685%
|
+16.506
|
| 4.5 ★
|
0.142%
|
1.184%
|
2.522%
|
4.066%
|
5.895%
|
8.135%
|
11.033%
|
15.147%
|
22.425%
|
27.918%
|
1.534%
|
+17.009
|
| 5 ★
|
0.127%
|
1.059%
|
2.238%
|
3.575%
|
5.12%
|
6.948%
|
9.189%
|
12.086%
|
16.201%
|
23.478%
|
19.979%
|
+17.519
|
+Critical Chance%
| Potential
|
Stat ranges
|
Average
|
| +1%
|
+2%
|
| 0 ★
|
84.657%
|
15.343%
|
+1.2%
|
| 0.5 ★
|
82.437%
|
17.563%
|
+1.2%
|
| 1 ★
|
79.425%
|
20.575%
|
+1.2%
|
| 1.5 ★
|
75.055%
|
24.945%
|
+1.2%
|
| 2 ★
|
67.918%
|
32.082%
|
+1.3%
|
| 2.5 ★
|
50%
|
50%
|
+1.5%
|
| 3 ★
|
32.082%
|
67.918%
|
+1.7%
|
| 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%
|
+Critical Power%
| Potential
|
Stat ranges
|
Average
|
| +5%
|
+6%
|
+7%
|
+8%
|
+9%
|
+10%
|
| 0 ★
|
33.026%
|
33.093%
|
18.538%
|
10.31%
|
4.515%
|
0.518%
|
+6.2%
|
| 0.5 ★
|
10%
|
50.082%
|
22.356%
|
11.891%
|
5.095%
|
0.577%
|
+6.5%
|
| 1 ★
|
3.069%
|
47.726%
|
28.63%
|
14.075%
|
5.847%
|
0.653%
|
+6.7%
|
| 1.5 ★
|
1.891%
|
28.109%
|
45.055%
|
17.329%
|
6.864%
|
0.751%
|
+7%
|
| 2 ★
|
1.37%
|
14.768%
|
51.781%
|
22.877%
|
8.322%
|
0.884%
|
+7.2%
|
| 2.5 ★
|
1.074%
|
10.6%
|
38.326%
|
38.326%
|
10.6%
|
1.074%
|
+7.5%
|
| 3 ★
|
0.884%
|
8.322%
|
22.877%
|
51.781%
|
14.768%
|
1.37%
|
+7.8%
|
| 3.5 ★
|
0.751%
|
6.864%
|
17.329%
|
45.055%
|
28.109%
|
1.891%
|
+8%
|
| 4 ★
|
0.653%
|
5.847%
|
14.075%
|
28.63%
|
47.726%
|
3.069%
|
+8.3%
|
| 4.5 ★
|
0.577%
|
5.095%
|
11.891%
|
22.356%
|
50.082%
|
10%
|
+8.5%
|
| 5 ★
|
0.518%
|
4.515%
|
10.31%
|
18.538%
|
33.093%
|
33.026%
|
+8.8%
|
Upgrade
Bee Stats
+Convert Amount
| Potential
|
Stat ranges
|
Average
|
| +3
|
+4
|
+5
|
| 0 ★
|
59.657%
|
36.919%
|
3.424%
|
+3.438
|
| 0.5 ★
|
57.525%
|
38.928%
|
3.547%
|
+3.46
|
| 1 ★
|
52.863%
|
43.339%
|
3.798%
|
+3.509
|
| 1.5 ★
|
44.515%
|
51.304%
|
4.181%
|
+3.597
|
| 2 ★
|
23.676%
|
71.576%
|
4.748%
|
+3.811
|
| 2.5 ★
|
12.284%
|
82.1%
|
5.616%
|
+3.933
|
| 3 ★
|
8.421%
|
84.532%
|
7.047%
|
+3.986
|
| 3.5 ★
|
6.316%
|
83.881%
|
9.803%
|
+4.035
|
| 4 ★
|
4.989%
|
77.284%
|
17.726%
|
+4.127
|
| 4.5 ★
|
4.081%
|
49.044%
|
46.875%
|
+4.428
|
| 5 ★
|
3.424%
|
36.919%
|
59.657%
|
+4.562
|
+Critical Chance%
| Potential
|
Stat ranges
|
Average
|
| +1%
|
+2%
|
| 0 ★
|
84.657%
|
15.343%
|
+1.2%
|
| 0.5 ★
|
84.657%
|
15.343%
|
+1.2%
|
| 1 ★
|
84.655%
|
15.345%
|
+1.2%
|
| 1.5 ★
|
84.632%
|
15.368%
|
+1.2%
|
| 2 ★
|
84.531%
|
15.469%
|
+1.2%
|
| 2.5 ★
|
84.218%
|
15.782%
|
+1.2%
|
| 3 ★
|
83.395%
|
16.605%
|
+1.2%
|
| 3.5 ★
|
81.332%
|
18.668%
|
+1.2%
|
| 4 ★
|
75.422%
|
24.578%
|
+1.2%
|
| 4.5 ★
|
36.573%
|
63.427%
|
+1.6%
|
| 5 ★
|
15.343%
|
84.657%
|
+1.8%
|
+Critical Power%
| Potential
|
Stat ranges
|
Average
|
| +2%
|
+3%
|
+4%
|
+5%
|
| 0 ★
|
46.529%
|
38.128%
|
13.869%
|
1.473%
|
+2.7%
|
| 0.5 ★
|
43.271%
|
40.75%
|
14.455%
|
1.524%
|
+2.7%
|
| 1 ★
|
35.72%
|
46.982%
|
15.669%
|
1.628%
|
+2.8%
|
| 1.5 ★
|
18.047%
|
62.57%
|
17.598%
|
1.785%
|
+3%
|
| 2 ★
|
7.385%
|
69.951%
|
20.649%
|
2.015%
|
+3.2%
|
| 2.5 ★
|
4.752%
|
66.993%
|
25.894%
|
2.361%
|
+3.3%
|
| 3 ★
|
3.428%
|
56.16%
|
37.496%
|
2.916%
|
+3.4%
|
| 3.5 ★
|
2.635%
|
30.898%
|
62.545%
|
3.922%
|
+3.7%
|
| 4 ★
|
2.112%
|
22.025%
|
69.581%
|
6.281%
|
+3.8%
|
| 4.5 ★
|
1.744%
|
17.087%
|
56.862%
|
24.307%
|
+4%
|
| 5 ★
|
1.473%
|
13.869%
|
38.128%
|
46.529%
|
+4.3%
|
Hive Bonuses
+Critical Power%
| Potential
|
Stat ranges
|
Average
|
| +2%
|
+3%
|
| 0 ★
|
84.657%
|
15.343%
|
+2.2%
|
| 0.5 ★
|
84.462%
|
15.538%
|
+2.2%
|
| 1 ★
|
83.843%
|
16.157%
|
+2.2%
|
| 1.5 ★
|
82.689%
|
17.311%
|
+2.2%
|
| 2 ★
|
80.752%
|
19.248%
|
+2.2%
|
| 2.5 ★
|
77.465%
|
22.535%
|
+2.2%
|
| 3 ★
|
71.278%
|
28.722%
|
+2.3%
|
| 3.5 ★
|
53.932%
|
46.068%
|
+2.5%
|
| 4 ★
|
28.722%
|
71.278%
|
+2.7%
|
| 4.5 ★
|
20.226%
|
79.774%
|
+2.8%
|
| 5 ★
|
15.343%
|
84.657%
|
+2.8%
|