Thumbtack/Probability
The tables below give the probability of a stat of Thumbtack 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
+Gather Amount
| Potential
|
Stat ranges
|
Average
|
| +1
|
+2
|
+3
|
| 0 ★
|
59.657%
|
36.919%
|
3.424%
|
+1.438
|
| 0.5 ★
|
51.876%
|
44.276%
|
3.848%
|
+1.52
|
| 1 ★
|
38.863%
|
56.745%
|
4.392%
|
+1.655
|
| 1.5 ★
|
16.041%
|
78.841%
|
5.118%
|
+1.891
|
| 2 ★
|
10.288%
|
83.577%
|
6.135%
|
+1.958
|
| 2.5 ★
|
7.671%
|
84.657%
|
7.671%
|
+2
|
| 3 ★
|
6.135%
|
83.577%
|
10.288%
|
+2.042
|
| 3.5 ★
|
5.118%
|
78.841%
|
16.041%
|
+2.109
|
| 4 ★
|
4.392%
|
56.745%
|
38.863%
|
+2.345
|
| 4.5 ★
|
3.848%
|
44.276%
|
51.876%
|
+2.48
|
| 5 ★
|
3.424%
|
36.919%
|
59.657%
|
+2.562
|
+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%
|
+Bee Attack%
| 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
+Red Bee Attack%
| 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
+Gather Amount
| Potential
|
Stat ranges
|
Average
|
| +1
|
+2
|
| 0 ★
|
84.657%
|
15.343%
|
+1.153
|
| 0.5 ★
|
84.596%
|
15.404%
|
+1.154
|
| 1 ★
|
84.304%
|
15.696%
|
+1.157
|
| 1.5 ★
|
83.64%
|
16.36%
|
+1.164
|
| 2 ★
|
82.407%
|
17.593%
|
+1.176
|
| 2.5 ★
|
80.218%
|
19.782%
|
+1.198
|
| 3 ★
|
76.14%
|
23.86%
|
+1.239
|
| 3.5 ★
|
66.927%
|
33.073%
|
+1.331
|
| 4 ★
|
35.026%
|
64.974%
|
+1.65
|
| 4.5 ★
|
21.767%
|
78.233%
|
+1.782
|
| 5 ★
|
15.343%
|
84.657%
|
+1.847
|
+Critical Power%
| Potential
|
Stat ranges
|
Average
|
| +1%
|
+2%
|
| 0 ★
|
84.657%
|
15.343%
|
+1.2%
|
| 0.5 ★
|
84.638%
|
15.362%
|
+1.2%
|
| 1 ★
|
84.501%
|
15.499%
|
+1.2%
|
| 1.5 ★
|
84.117%
|
15.883%
|
+1.2%
|
| 2 ★
|
83.309%
|
16.691%
|
+1.2%
|
| 2.5 ★
|
81.774%
|
18.226%
|
+1.2%
|
| 3 ★
|
78.838%
|
21.162%
|
+1.2%
|
| 3.5 ★
|
72.474%
|
27.526%
|
+1.3%
|
| 4 ★
|
45.496%
|
54.504%
|
+1.5%
|
| 4.5 ★
|
23.483%
|
76.517%
|
+1.8%
|
| 5 ★
|
15.343%
|
84.657%
|
+1.8%
|
+Bee Attack%
| Potential
|
Stat ranges
|
Average
|
| +1%
|
+2%
|
| 0 ★
|
84.657%
|
15.343%
|
+1.2%
|
| 0.5 ★
|
84.638%
|
15.362%
|
+1.2%
|
| 1 ★
|
84.501%
|
15.499%
|
+1.2%
|
| 1.5 ★
|
84.117%
|
15.883%
|
+1.2%
|
| 2 ★
|
83.309%
|
16.691%
|
+1.2%
|
| 2.5 ★
|
81.774%
|
18.226%
|
+1.2%
|
| 3 ★
|
78.838%
|
21.162%
|
+1.2%
|
| 3.5 ★
|
72.474%
|
27.526%
|
+1.3%
|
| 4 ★
|
45.496%
|
54.504%
|
+1.5%
|
| 4.5 ★
|
23.483%
|
76.517%
|
+1.8%
|
| 5 ★
|
15.343%
|
84.657%
|
+1.8%
|