Elf Cap/Probability
The tables below give the probability of a stat of Elf 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.
Show/hide tables
Base
Bee Stats
+Convert Amount
| Potential
|
Stat ranges
|
Average
|
| +25
|
+26
|
+27
|
+28
|
+29
|
+30
|
+31
|
+32
|
+33
|
+34
|
+35
|
+36
|
+37
|
+38
|
+39
|
+40
|
+41
|
+42
|
+43
|
+44
|
+45
|
+46
|
+47
|
+48
|
+49
|
+50
|
| 0 ★
|
9.824%
|
13.056%
|
10.145%
|
8.5%
|
7.341%
|
6.444%
|
5.713%
|
5.095%
|
4.56%
|
4.089%
|
3.667%
|
3.285%
|
2.937%
|
2.617%
|
2.32%
|
2.044%
|
1.786%
|
1.543%
|
1.315%
|
1.098%
|
0.893%
|
0.698%
|
0.512%
|
0.334%
|
0.164%
|
0.02%
|
+31.241
|
| 0.5 ★
|
0.215%
|
2.12%
|
7.665%
|
16.454%
|
10.909%
|
8.816%
|
7.457%
|
6.446%
|
5.641%
|
4.971%
|
4.397%
|
3.896%
|
3.451%
|
3.05%
|
2.686%
|
2.352%
|
2.044%
|
1.758%
|
1.491%
|
1.241%
|
1.0058%
|
0.783%
|
0.573%
|
0.373%
|
0.182%
|
0.022%
|
+32.507
|
| 1 ★
|
0.104%
|
0.903%
|
2.062%
|
3.708%
|
6.619%
|
15.983%
|
12.164%
|
9.253%
|
7.607%
|
6.448%
|
5.552%
|
4.821%
|
4.203%
|
3.668%
|
3.196%
|
2.774%
|
2.393%
|
2.044%
|
1.724%
|
1.428%
|
1.151%
|
0.893%
|
0.651%
|
0.422%
|
0.206%
|
0.025%
|
+33.748
|
| 1.5 ★
|
0.068%
|
0.576%
|
1.246%
|
2.052%
|
3.062%
|
4.421%
|
6.514%
|
12.06%
|
15.449%
|
9.904%
|
7.811%
|
6.451%
|
5.441%
|
4.635%
|
3.966%
|
3.392%
|
2.891%
|
2.445%
|
2.045%
|
1.681%
|
1.347%
|
1.039%
|
0.753%
|
0.486%
|
0.236%
|
0.029%
|
+35.0028
|
| 2 ★
|
0.051%
|
0.424%
|
0.895%
|
1.43%
|
2.048%
|
2.779%
|
3.676%
|
4.835%
|
6.48%
|
9.391%
|
16.794%
|
11.013%
|
8.102%
|
6.456%
|
5.297%
|
4.401%
|
3.67%
|
3.052%
|
2.517%
|
2.045%
|
1.624%
|
1.242%
|
0.894%
|
0.573%
|
0.277%
|
0.034%
|
+36.249
|
| 2.5 ★
|
0.041%
|
0.335%
|
0.699%
|
1.1%
|
1.545%
|
2.046%
|
2.62%
|
3.289%
|
4.095%
|
5.106%
|
6.465%
|
8.558%
|
14.103%
|
14.103%
|
8.558%
|
6.465%
|
5.106%
|
4.095%
|
3.289%
|
2.62%
|
2.046%
|
1.545%
|
1.1%
|
0.699%
|
0.335%
|
0.041%
|
+37.5
|
| 3 ★
|
0.034%
|
0.277%
|
0.573%
|
0.894%
|
1.242%
|
1.624%
|
2.045%
|
2.517%
|
3.052%
|
3.67%
|
4.401%
|
5.297%
|
6.456%
|
8.102%
|
11.013%
|
16.794%
|
9.391%
|
6.48%
|
4.835%
|
3.676%
|
2.779%
|
2.048%
|
1.43%
|
0.895%
|
0.424%
|
0.051%
|
+38.751
|
| 3.5 ★
|
0.029%
|
0.236%
|
0.486%
|
0.753%
|
1.039%
|
1.347%
|
1.681%
|
2.045%
|
2.445%
|
2.891%
|
3.392%
|
3.966%
|
4.635%
|
5.441%
|
6.451%
|
7.811%
|
9.904%
|
15.449%
|
12.06%
|
6.514%
|
4.421%
|
3.062%
|
2.052%
|
1.246%
|
0.576%
|
0.068%
|
+39.997
|
| 4 ★
|
0.025%
|
0.206%
|
0.422%
|
0.651%
|
0.893%
|
1.151%
|
1.428%
|
1.724%
|
2.044%
|
2.393%
|
2.774%
|
3.196%
|
3.668%
|
4.203%
|
4.821%
|
5.552%
|
6.448%
|
7.607%
|
9.253%
|
12.164%
|
15.983%
|
6.619%
|
3.708%
|
2.062%
|
0.903%
|
0.104%
|
+41.252
|
| 4.5 ★
|
0.022%
|
0.182%
|
0.373%
|
0.573%
|
0.783%
|
1.0058%
|
1.241%
|
1.491%
|
1.758%
|
2.044%
|
2.352%
|
2.686%
|
3.05%
|
3.451%
|
3.896%
|
4.397%
|
4.971%
|
5.641%
|
6.446%
|
7.457%
|
8.816%
|
10.909%
|
16.454%
|
7.665%
|
2.12%
|
0.215%
|
+42.493
|
| 5 ★
|
0.02%
|
0.164%
|
0.334%
|
0.512%
|
0.698%
|
0.893%
|
1.098%
|
1.315%
|
1.543%
|
1.786%
|
2.044%
|
2.32%
|
2.617%
|
2.937%
|
3.285%
|
3.667%
|
4.089%
|
4.56%
|
5.095%
|
5.713%
|
6.444%
|
7.341%
|
8.5%
|
10.145%
|
13.056%
|
9.824%
|
+43.759
|
+Convert Rate At Hive%
| 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%
|
Hive Bonuses
+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
|
| +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%
|
+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 ★
|
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%
|
+1.5%
|
| 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%
|
+1.6%
|
| 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%
|
+1.7%
|
| 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%
|
+1.8%
|
| 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%
|
+1.9%
|
| 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%
|
+2%
|
| 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%
|
+2.1%
|
| 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%
|
+2.2%
|
| 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%
|
+2.3%
|
| 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%
|
+2.4%
|
| 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%
|
+2.5%
|
Upgrade
Bee Stats
+Convert Amount
| Potential
|
Stat ranges
|
Average
|
| +2
|
+3
|
| 0 ★
|
84.657%
|
15.343%
|
+2.153
|
| 0.5 ★
|
83.906%
|
16.094%
|
+2.161
|
| 1 ★
|
82.852%
|
17.148%
|
+2.171
|
| 1.5 ★
|
81.267%
|
18.733%
|
+2.187
|
| 2 ★
|
78.601%
|
21.399%
|
+2.214
|
| 2.5 ★
|
73.105%
|
26.895%
|
+2.269
|
| 3 ★
|
50%
|
50%
|
+2.5
|
| 3.5 ★
|
24.945%
|
75.055%
|
+2.751
|
| 4 ★
|
20.575%
|
79.425%
|
+2.794
|
| 4.5 ★
|
17.563%
|
82.437%
|
+2.824
|
| 5 ★
|
15.343%
|
84.657%
|
+2.847
|
+Convert Rate At Hive%
| Potential
|
Stat ranges
|
Average
|
| +1%
|
+2%
|
| 0 ★
|
84.657%
|
15.343%
|
+1.2%
|
| 0.5 ★
|
83.501%
|
16.499%
|
+1.2%
|
| 1 ★
|
81.774%
|
18.226%
|
+1.2%
|
| 1.5 ★
|
78.903%
|
21.097%
|
+1.2%
|
| 2 ★
|
73.105%
|
26.895%
|
+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%
|
Hive Bonuses
+Convert Rate At Hive%
| Potential
|
Stat ranges
|
Average
|
| +1%
|
+2%
|
| 0 ★
|
84.657%
|
15.343%
|
+1.2%
|
| 0.5 ★
|
84.101%
|
15.899%
|
+1.2%
|
| 1 ★
|
83.344%
|
16.656%
|
+1.2%
|
| 1.5 ★
|
82.253%
|
17.747%
|
+1.2%
|
| 2 ★
|
80.543%
|
19.457%
|
+1.2%
|
| 2.5 ★
|
77.465%
|
22.535%
|
+1.2%
|
| 3 ★
|
70.118%
|
29.882%
|
+1.3%
|
| 3.5 ★
|
33.784%
|
66.216%
|
+1.7%
|
| 4 ★
|
20.575%
|
79.425%
|
+1.8%
|
| 4.5 ★
|
17.563%
|
82.437%
|
+1.8%
|
| 5 ★
|
15.343%
|
84.657%
|
+1.8%
|
+Honey At Hive%
| 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%
|