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Candy Ring/Probability

The tables below give the probability of a stat of Candy Ring 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

+Energy

Potential Stat ranges Average
+60-+60.2 +60.21-+60.41 +60.42-+60.62 +60.63-+60.83 +60.84-+61.04 +61.05-+61.25 +61.26-+61.46 +61.47-+61.67 +61.68-+61.88 +61.89-+62.09 +62.1-+62.3 +62.31-+62.51 +62.52-+62.72 +62.73-+62.93 +62.94-+63.14 +63.15-+63.35 +63.36-+63.56 +63.57-+63.77 +63.78-+63.98 +63.99-+64.19 +64.2-+64.4 +64.41-+64.61 +64.62-+64.82 +64.83-+65.03 +65.04-+65.24 +65.25-+65.45 +65.46-+65.66 +65.67-+65.87 +65.88-+66.08 +66.09-+66.29 +66.3-+66.5 +66.51-+66.71 +66.72-+66.92 +66.93-+67.13 +67.14-+67.34 +67.35-+67.55 +67.56-+67.76 +67.77-+67.97 +67.98-+68.18 +68.19-+68.39 +68.4-+68.6 +68.61-+68.81 +68.82-+69.02 +69.03-+69.23 +69.24-+69.44 +69.45-+69.65 +69.66-+69.86 +69.87-+70.07 +70.08-+70.28 +70.29-+70.49 +70.5-+70.7 +70.71-+70.91 +70.92-+71.12 +71.13-+71.33 +71.34-+71.54 +71.55-+71.75 +71.76-+71.96 +71.97-+72.17 +72.18-+72.38 +72.39-+72.59 +72.6-+72.8 +72.81-+73.01 +73.02-+73.22 +73.23-+73.43 +73.44-+73.64 +73.65-+73.85 +73.86-+74.06 +74.07-+74.27 +74.28-+74.48 +74.49-+74.69 +74.7-+74.9 +74.91-+75.11 +75.12-+75.32 +75.33-+75.53 +75.54-+75.74 +75.75-+75.95 +75.96-+76.16 +76.17-+76.37 +76.38-+76.58 +76.59-+76.79 +76.8-+77 +77.01-+77.21 +77.22-+77.42 +77.43-+77.63 +77.64-+77.84 +77.85-+78.05 +78.06-+78.26 +78.27-+78.47 +78.48-+78.68 +78.69-+78.89 +78.9-+79.1 +79.11-+79.31 +79.32-+79.52 +79.53-+79.73 +79.74-+79.94 +79.95-+80
0 ★ 5.72% 4.396% 3.839% 3.48% 3.213% 3.00023% 2.824% 2.673% 2.541% 2.423% 2.318% 2.222% 2.134% 2.053% 1.978% 1.908% 1.842% 1.78% 1.722% 1.667% 1.614% 1.564% 1.516% 1.47% 1.427% 1.385% 1.344% 1.305% 1.268% 1.231% 1.196% 1.163% 1.13% 1.098% 1.067% 1.037% 1.0077% 0.979% 0.952% 0.925% 0.898% 0.873% 0.848% 0.823% 0.8% 0.776% 0.753% 0.731% 0.709% 0.688% 0.667% 0.646% 0.626% 0.606% 0.587% 0.567% 0.549% 0.53% 0.512% 0.494% 0.477% 0.46% 0.443% 0.426% 0.41% 0.393% 0.378% 0.362% 0.346% 0.331% 0.316% 0.301% 0.287% 0.272% 0.258% 0.244% 0.23% 0.217% 0.203% 0.19% 0.177% 0.164% 0.151% 0.138% 0.126% 0.114% 0.101% 0.089% 0.077% 0.066% 0.054% 0.042% 0.031% 0.02% 0.0084% 0.00038% +65
0.5 ★ 0.054% 0.178% 0.317% 0.478% 0.668% 0.901% 1.201% 1.625% 2.361% 5.183% 4.778% 3.983% 3.542% 3.233% 2.995% 2.802% 2.638% 2.497% 2.373% 2.261% 2.161% 2.069% 1.984% 1.906% 1.834% 1.766% 1.702% 1.642% 1.585% 1.531% 1.479% 1.43% 1.384% 1.339% 1.296% 1.255% 1.215% 1.177% 1.14% 1.104% 1.07% 1.036% 1.0038% 0.972% 0.942% 0.912% 0.883% 0.855% 0.828% 0.802% 0.776% 0.75% 0.725% 0.701% 0.678% 0.655% 0.632% 0.61% 0.588% 0.567% 0.546% 0.526% 0.506% 0.486% 0.467% 0.448% 0.429% 0.411% 0.393% 0.375% 0.358% 0.341% 0.324% 0.308% 0.291% 0.275% 0.259% 0.244% 0.228% 0.213% 0.198% 0.184% 0.169% 0.155% 0.141% 0.127% 0.113% 0.1% 0.086% 0.073% 0.06% 0.047% 0.034% 0.022% 0.0094% 0.00042% +66
1 ★ 0.027% 0.085% 0.146% 0.212% 0.281% 0.356% 0.437% 0.524% 0.619% 0.723% 0.839% 0.969% 1.118% 1.292% 1.501% 1.761% 2.109% 2.638% 3.869% 5.766% 4.198% 3.626% 3.26% 2.99% 2.775% 2.597% 2.445% 2.312% 2.194% 2.089% 1.992% 1.904% 1.823% 1.747% 1.677% 1.611% 1.549% 1.49% 1.435% 1.382% 1.332% 1.284% 1.238% 1.194% 1.152% 1.112% 1.073% 1.035% 0.999% 0.964% 0.93% 0.897% 0.865% 0.834% 0.804% 0.775% 0.746% 0.719% 0.692% 0.665% 0.64% 0.615% 0.59% 0.566% 0.543% 0.52% 0.498% 0.476% 0.454% 0.433% 0.413% 0.392% 0.373% 0.353% 0.334% 0.315% 0.297% 0.279% 0.261% 0.243% 0.226% 0.209% 0.192% 0.176% 0.16% 0.144% 0.128% 0.113% 0.098% 0.083% 0.068% 0.053% 0.039% 0.025% 0.011% 0.00047% +67
1.5 ★ 0.018% 0.056% 0.095% 0.136% 0.179% 0.224% 0.27% 0.319% 0.37% 0.423% 0.48% 0.539% 0.603% 0.67% 0.742% 0.819% 0.903% 0.994% 1.093% 1.202% 1.325% 1.464% 1.623% 1.812% 2.042% 2.338% 2.754% 3.464% 5.639% 4.574% 3.745% 3.295% 2.982% 2.742% 2.546% 2.382% 2.24% 2.114% 2.0025% 1.901% 1.809% 1.724% 1.646% 1.573% 1.505% 1.441% 1.381% 1.323% 1.269% 1.218% 1.169% 1.122% 1.077% 1.034% 0.993% 0.953% 0.915% 0.878% 0.842% 0.807% 0.774% 0.741% 0.71% 0.679% 0.65% 0.621% 0.593% 0.566% 0.539% 0.513% 0.488% 0.463% 0.439% 0.415% 0.392% 0.369% 0.347% 0.325% 0.304% 0.283% 0.263% 0.243% 0.223% 0.204% 0.185% 0.166% 0.148% 0.13% 0.112% 0.095% 0.078% 0.061% 0.044% 0.028% 0.012% 0.00054% +68
2 ★ 0.013% 0.042% 0.071% 0.101% 0.131% 0.163% 0.196% 0.229% 0.264% 0.3% 0.338% 0.376% 0.417% 0.458% 0.502% 0.547% 0.595% 0.645% 0.697% 0.752% 0.81% 0.871% 0.936% 1.0059% 1.08% 1.16% 1.247% 1.342% 1.446% 1.561% 1.691% 1.839% 2.011% 2.217% 2.475% 2.818% 3.333% 4.474% 5.63% 3.933% 3.345% 2.973% 2.699% 2.482% 2.303% 2.15% 2.016% 1.898% 1.791% 1.695% 1.606% 1.525% 1.449% 1.378% 1.312% 1.25% 1.191% 1.135% 1.083% 1.032% 0.984% 0.938% 0.894% 0.852% 0.812% 0.773% 0.735% 0.699% 0.663% 0.629% 0.596% 0.564% 0.533% 0.503% 0.474% 0.446% 0.418% 0.391% 0.365% 0.339% 0.314% 0.289% 0.265% 0.242% 0.219% 0.197% 0.175% 0.153% 0.132% 0.112% 0.091% 0.072% 0.052% 0.033% 0.014% 0.00063% +69
2.5 ★ 0.011% 0.033% 0.056% 0.08% 0.104% 0.128% 0.154% 0.179% 0.206% 0.233% 0.261% 0.29% 0.319% 0.349% 0.381% 0.413% 0.446% 0.48% 0.516% 0.552% 0.59% 0.63% 0.671% 0.713% 0.758% 0.804% 0.853% 0.904% 0.957% 1.013% 1.073% 1.136% 1.203% 1.275% 1.352% 1.435% 1.525% 1.624% 1.733% 1.855% 1.993% 2.152% 2.339% 2.566% 2.858% 3.266% 3.952% 5.791% 4.285% 3.419% 2.959% 2.642% 2.399% 2.202% 2.036% 1.893% 1.767% 1.654% 1.553% 1.46% 1.375% 1.296% 1.223% 1.155% 1.091% 1.03% 0.973% 0.919% 0.867% 0.818% 0.771% 0.726% 0.683% 0.641% 0.601% 0.563% 0.526% 0.49% 0.456% 0.422% 0.39% 0.358% 0.328% 0.298% 0.269% 0.241% 0.214% 0.187% 0.161% 0.135% 0.111% 0.086% 0.063% 0.04% 0.017% 0.00076% +70
3 ★ 0.0088% 0.027% 0.047% 0.066% 0.086% 0.106% 0.126% 0.147% 0.169% 0.19% 0.213% 0.235% 0.259% 0.282% 0.307% 0.332% 0.357% 0.383% 0.41% 0.438% 0.466% 0.495% 0.525% 0.556% 0.587% 0.62% 0.654% 0.688% 0.724% 0.762% 0.8% 0.84% 0.882% 0.926% 0.971% 1.018% 1.068% 1.12% 1.175% 1.233% 1.294% 1.359% 1.428% 1.502% 1.582% 1.669% 1.763% 1.866% 1.981% 2.11% 2.257% 2.428% 2.632% 2.887% 3.224% 3.728% 4.795% 5.416% 3.546% 2.941% 2.562% 2.285% 2.066% 1.885% 1.731% 1.596% 1.477% 1.37% 1.273% 1.184% 1.103% 1.027% 0.956% 0.889% 0.827% 0.768% 0.712% 0.659% 0.609% 0.561% 0.515% 0.471% 0.428% 0.388% 0.349% 0.311% 0.274% 0.239% 0.205% 0.172% 0.14% 0.109% 0.079% 0.05% 0.021% 0.00095% +71
3.5 ★ 0.0075% 0.024% 0.04% 0.056% 0.073% 0.09% 0.107% 0.125% 0.143% 0.161% 0.18% 0.198% 0.218% 0.237% 0.257% 0.277% 0.298% 0.319% 0.341% 0.363% 0.385% 0.408% 0.432% 0.456% 0.48% 0.506% 0.531% 0.558% 0.585% 0.613% 0.641% 0.671% 0.701% 0.732% 0.764% 0.798% 0.832% 0.867% 0.904% 0.942% 0.981% 1.022% 1.065% 1.109% 1.155% 1.204% 1.254% 1.308% 1.364% 1.423% 1.486% 1.553% 1.625% 1.701% 1.784% 1.874% 1.973% 2.081% 2.202% 2.339% 2.497% 2.682% 2.908% 3.196% 3.596% 4.259% 5.834% 3.818% 2.911% 2.441% 2.119% 1.873% 1.674% 1.507% 1.363% 1.236% 1.123% 1.021% 0.928% 0.843% 0.764% 0.69% 0.622% 0.557% 0.496% 0.439% 0.385% 0.333% 0.284% 0.237% 0.192% 0.148% 0.107% 0.067% 0.028% 0.0013% +72
4 ★ 0.0066% 0.021% 0.035% 0.049% 0.064% 0.078% 0.093% 0.108% 0.124% 0.139% 0.155% 0.171% 0.188% 0.204% 0.221% 0.238% 0.256% 0.274% 0.292% 0.31% 0.329% 0.348% 0.367% 0.387% 0.407% 0.427% 0.448% 0.47% 0.491% 0.514% 0.536% 0.56% 0.583% 0.608% 0.633% 0.658% 0.684% 0.711% 0.738% 0.767% 0.796% 0.825% 0.856% 0.888% 0.92% 0.954% 0.989% 1.025% 1.062% 1.101% 1.141% 1.182% 1.226% 1.271% 1.318% 1.368% 1.42% 1.474% 1.532% 1.593% 1.658% 1.727% 1.801% 1.88% 1.966% 2.06% 2.163% 2.277% 2.405% 2.551% 2.721% 2.924% 3.175% 3.507% 3.999% 5.0057% 5.0018% 2.858% 2.235% 1.849% 1.569% 1.348% 1.165% 1.0099% 0.875% 0.755% 0.647% 0.55% 0.461% 0.379% 0.302% 0.231% 0.165% 0.102% 0.043% 0.0019% +73
4.5 ★ 0.0059% 0.018% 0.031% 0.043% 0.056% 0.069% 0.082% 0.096% 0.109% 0.123% 0.137% 0.151% 0.165% 0.18% 0.194% 0.209% 0.224% 0.239% 0.255% 0.271% 0.287% 0.303% 0.319% 0.336% 0.353% 0.37% 0.388% 0.406% 0.424% 0.443% 0.461% 0.481% 0.5% 0.52% 0.54% 0.561% 0.582% 0.604% 0.626% 0.648% 0.671% 0.695% 0.719% 0.743% 0.768% 0.794% 0.82% 0.848% 0.875% 0.904% 0.933% 0.964% 0.995% 1.027% 1.06% 1.094% 1.129% 1.166% 1.204% 1.243% 1.284% 1.326% 1.371% 1.417% 1.465% 1.516% 1.569% 1.625% 1.684% 1.747% 1.814% 1.885% 1.962% 2.044% 2.134% 2.232% 2.34% 2.46% 2.596% 2.752% 2.936% 3.16% 3.444% 3.837% 4.479% 5.723% 2.74% 1.786% 1.306% 0.978% 0.73% 0.529% 0.361% 0.216% 0.088% 0.0038% +74
5 ★ 0.0053% 0.016% 0.028% 0.039% 0.051% 0.062% 0.074% 0.086% 0.098% 0.11% 0.122% 0.135% 0.147% 0.16% 0.173% 0.186% 0.199% 0.213% 0.226% 0.24% 0.254% 0.268% 0.283% 0.297% 0.312% 0.327% 0.342% 0.357% 0.373% 0.389% 0.405% 0.421% 0.438% 0.455% 0.472% 0.489% 0.507% 0.525% 0.543% 0.562% 0.581% 0.6% 0.62% 0.64% 0.661% 0.682% 0.703% 0.725% 0.747% 0.77% 0.793% 0.817% 0.841% 0.866% 0.891% 0.917% 0.944% 0.971% 1% 1.029% 1.058% 1.089% 1.121% 1.153% 1.187% 1.221% 1.257% 1.294% 1.333% 1.373% 1.414% 1.458% 1.503% 1.55% 1.6% 1.651% 1.706% 1.763% 1.824% 1.889% 1.958% 2.031% 2.111% 2.196% 2.29% 2.392% 2.506% 2.633% 2.778% 2.947% 3.147% 3.396% 3.723% 4.204% 5.158% 1.896% +75

+Convert Amount%

Potential Stat ranges Average
+20% +21% +22% +23% +24% +25% +26% +27% +28% +29% +30%
0 ★ 19.979% 23.478% 16.201% 12.086% 9.189% 6.948% 5.12% 3.575% 2.238% 1.059% 0.127% +22.5%
0.5 ★ 1.534% 27.918% 22.425% 15.147% 11.033% 8.135% 5.895% 4.066% 2.522% 1.184% 0.142% +23%
1 ★ 0.685% 7.384% 30.794% 21.247% 13.969% 9.855% 6.958% 4.717% 2.888% 1.344% 0.16% +23.5%
1.5 ★ 0.442% 4.161% 11.438% 32.154% 19.911% 12.634% 8.52% 5.622% 3.381% 1.553% 0.183% +24%
2 ★ 0.326% 2.924% 7.038% 14.315% 32.822% 18.37% 11.092% 6.978% 4.081% 1.84% 0.214% +24.5%
2.5 ★ 0.259% 2.258% 5.155% 9.269% 16.547% 33.026% 16.547% 9.269% 5.155% 2.258% 0.259% +25%
3 ★ 0.214% 1.84% 4.081% 6.978% 11.092% 18.37% 32.822% 14.315% 7.038% 2.924% 0.326% +25.5%
3.5 ★ 0.183% 1.553% 3.381% 5.622% 8.52% 12.634% 19.911% 32.154% 11.438% 4.161% 0.442% +26%
4 ★ 0.16% 1.344% 2.888% 4.717% 6.958% 9.855% 13.969% 21.247% 30.794% 7.384% 0.685% +26.5%
4.5 ★ 0.142% 1.184% 2.522% 4.066% 5.895% 8.135% 11.033% 15.147% 22.425% 27.918% 1.534% +27%
5 ★ 0.127% 1.059% 2.238% 3.575% 5.12% 6.948% 9.189% 12.086% 16.201% 23.478% 19.979% +27.5%

+Ability Rate%

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%

Hive Bonuses

+Honey At Hive%

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%

Upgrade

Bee Stats

+Energy

Potential Stat ranges Average
+6 +7 +8
0 ★ 59.657% 36.919% 3.424% +6.438
0.5 ★ 57.525% 38.928% 3.547% +6.46
1 ★ 52.863% 43.339% 3.798% +6.509
1.5 ★ 44.515% 51.304% 4.181% +6.597
2 ★ 23.676% 71.576% 4.748% +6.811
2.5 ★ 12.284% 82.1% 5.616% +6.933
3 ★ 8.421% 84.532% 7.047% +6.986
3.5 ★ 6.316% 83.881% 9.803% +7.035
4 ★ 4.989% 77.284% 17.726% +7.127
4.5 ★ 4.081% 49.044% 46.875% +7.428
5 ★ 3.424% 36.919% 59.657% +7.562

Hive Bonuses

+Honey At Hive%

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%