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==Frequency Across All Hero Classes== The following chart is a chart for all hero classes and what skills are the most and least common in the game; the percentage represents roughly the frequency a skill is offered. Calculating the average frequency at which a skill is offered in a category is simple; each hero has probabilities to be offered a skill in increments of 1/112. Taking [[Necromancy]] as a simple example, all heroes except for Necropolis heroes have a 0/112 chance of being offered it; while both Necropolis hero classes have a 10/112 chance of being offered it (if not starting with it). This would bring the sum of lots to 20. Given that there are 18 hero classes, 18 x 112 = 2016 lots in total calculation. Thus, we can divide 20 by 2016 to get the frequency the skill is offered among all hero classes, which is roughly 0.99%, making it the rarest naturally offered skill in the game. {| cellpadding=0 cellspacing=0 width=25px style="background-color:#{{green 4}}; text-align:center; border:1px solid; float:left;" |+ style="background-color:#{{Green 1}}; color:white; font-size:120%; height: 26px; border:1px solid black;" class="unsortable"| |- style="background-color:#{{Green 2}}; ! height=50px | # |- | height=24px | 1 |- | height=24px | 2 |- | height=24px | 3 |- | height=24px | 4 |- | height=24px | 5 |- | height=24px | 6 |- | height=24px | 7 |- | height=24px | 8 |- | height=24px | 9 |- | height=24px | 10 |- | height=24px | 11 |- | height=24px | 12 |- | height=24px | 13 |- | height=24px | 14 |- | height=24px | 15 |- | height=24px | 16 |- | height=24px | 17 |- | height=24px | 18 |- | height=24px | 19 |- | height=24px | 20 |- | height=24px | 21 |- | height=24px | 22 |- | height=24px | 23 |- | height=24px | 24 |- | height=24px | 25 |- | height=24px | 26 |- | height=24px | 27 |- | height=24px | 28 |} {| cellpadding=0 cellspacing=0 width=600px style="background-color:#{{Green 3}}; text-align:left; border:1px solid; align:left" class="sortable" |+ colspan=6 style="background-color:#{{Green 1}}; color:white; font-size:120%; height: 26px; border:1px solid black;" class="unsortable"| '''Total secondary skill chances (in %)''' |- style="background-color:#{{Green 2}};" class="sortable" ! align=left height=50px |{{-}}Secondary skill ! class="sortable"|All</br>Classes ! class="sortable"|Might</br>Classes ! class="sortable"|Magic</br>Classes ! class="sortable"|Good</br>Classes ! class="sortable"|Neutral</br>Classes ! class="sortable"|Evil</br>Classes |- | height=24px | [[File: Expert Air Magic.png|22px|link=]]{{-}}[[Air Magic]] || 2.5 || 2.0 || 3.0 || 3.0 || 2.7 || 1.9 |- | height=24px | [[File: Expert Archery.png|22px|link=]]{{-}}[[Archery]] || 4.2 || 5.2 || 2.7 || 4.2 || 4.6 || 3.7 |- | height=24px | [[File: Expert Armorer.png|22px|link=]]{{-}}[[Armorer]] || 4.1 || 5.9 || 2.3 || 4.2 || 4.5 || 3.7 |- | height=24px | [[File: Expert Artillery.png|22px|link=]]{{-}}[[Artillery]] || 3.7 || 5.0 || 1.8 || 2.8 || 4.5 || 3.9 |- | height=24px | [[File: Expert Ballistics.png|22px|link=]]{{-}}[[Ballistics]] || 5.4 || 6.2 || 4.7 || 4.5 || 6.1 || 5.7 |- | height=24px | [[File: Expert Diplomacy.png|22px|link=]]{{-}}[[Diplomacy]] || 2.9 || 2.4 || 3.5 || 3.9 || 1.9 || 3.0 |- | height=24px | [[File: Expert Eagle Eye.png|22px|link=]]{{-}}[[Eagle Eye]] || 4.2 || 2.9 || 6.3 || 4.2 || 4.2 || 4.2 |- | height=24px | [[File: Expert Earth Magic.png|22px|link=]]{{-}}[[Earth Magic]] || 3.3 || 2.7 || 3.9 || 2.7 || 3.1 || 4.0 |- | height=24px | [[File: Expert Estates.png|22px|link=]]{{-}}[[Estates]] || 2.5 || 2.3 || 2.6 || 3.4 || 1.6 || 2.5 |- | height=24px | [[File: Expert Fire Magic.png|22px|link=]]{{-}}[[Fire Magic]] || 2.1 || 1.4 || 2.9 || 1.0 || 2.5 || 2.8 |- | height=24px | [[File: Expert First Aid.png|22px|link=]]{{-}}[[First Aid]] || 3.4 || 2.5 || 5.1 || 4.6 || 3.6 || 2.1 |- | height=24px | [[File: Expert Intelligence.png|22px|link=]]{{-}}[[Intelligence]] || 4.0 || 2.4 || 6.3 || 4.5 || 3.4 || 4.2 |- | height=24px | [[File: Expert Leadership.png|22px|link=]]{{-}}[[Leadership]] || 3.2 || 4.1 || 2.1 || 4.0 || 3.1 || 2.4 |- | height=24px | [[File: Expert Learning.png|22px|link=]]{{-}}[[Learning]] || 4.1 || 4.2 || 3.6 || 4.5 || 4.2 || 3.6 |- | height=24px | [[File: Expert Logistics.png|22px|link=]]{{-}}[[Logistics]] || 4.8 || 5.7 || 3.4 || 4.0 || 5.5 || 4.8 |- | height=24px | [[File: Expert Luck.png|22px|link=]]{{-}}[[Luck (secondary skill)|Luck]] || 2.6 || 2.4 || 3.1 || 4.3 || 2.2 || 1.3 |- | height=24px | [[File: Expert Mysticism.png|22px|link=]]{{-}}[[Mysticism]] || 4.4 || 3.1 || 6.2 || 4.0 || 4.2 || 4.9 |- | height=24px | [[File: Expert Navigation.png|22px|link=]]{{-}}[[Navigation]] || 3.7 || 4.6 || 2.9 || 3.3 || 3.7 || 4.0 |- | height=24px | [[File: Expert Necromancy.png|22px|link=]]{{-}}[[Necromancy]] || 1.0 || 1.0 || 1.0 || 0.0 || 0.0 || 3.0 |- | height=24px | [[File: Expert Offense.png|22px|link=]]{{-}}[[Offense]] || 4.5 || 5.8 || 2.5 || 3.6 || 5.2 || 4.6 |- | height=24px | [[File: Expert Pathfinding.png|22px|link=]]{{-}}[[Pathfinding]] || 3.9 || 4.6 || 2.9 || 3.6 || 4.5 || 3.7 |- | height=24px | [[File: Expert Resistance.png|22px|link=]]{{-}}[[Resistance]] || 3.0 || 4.7 || 1.1 || 3.3 || 2.5 || 3.1 |- | height=24px | [[File: Expert Scholar.png|22px|link=]]{{-}}[[Scholar]] || 3.7 || 1.9 || 6.1 || 4.2 || 3.3 || 3.6 |- | height=24px | [[File: Expert Scouting.png|22px|link=]]{{-}}[[Scouting]] || 3.6 || 4.6 || 2.2 || 3.3 || 4.3 || 3.1 |- | height=24px | [[File: Expert Sorcery.png|22px|link=]]{{-}}[[Sorcery]] || 4.0 || 2.5 || 6.3 || 3.7 || 3.7 || 4.6 |- | height=24px | [[File: Expert Tactics.png|22px|link=]]{{-}}[[Tactics]] || 3.8 || 5.2 || 1.8 || 3.0 || 4.3 || 4.2 |- | height=24px | [[File: Expert Water Magic.png|22px|link=]]{{-}}[[Water Magic]] || 2.3 || 1.8 || 3.0 || 3.0 || 2.4 || 1.6 |- | height=24px | [[File: Expert Wisdom.png|22px|link=]]{{-}}[[Wisdom]] || 5.2 || 3.7 || 7.2 || 5.5 || 4.2 || 5.8 |} In [[Horn of the Abyss]], the calculations are trickier, as each hero class does not have an exact 112 lots of skills, but rather each hero class has 112 to 121 lots of all skills. Things are further complicated by [[Resistance]] being banned by default on all maps and templates and consequently the vast majority of games played not having it in the lots. Furthermore, [[Navigation]] is also banned by default on all random map templates without water (and the vast majority of templates were created with the "None" water setting in mind, as with water, border guards and other barriers can often be bypassed). Removing both Navigation and Resistance from the lots make the lots range from 102 to 111. In this chart, the sum of each column will be over 100%, as Navigation and Resistance are not counted, and their listed percentages are not their true percentages, but are there only to compare to other skills. An example calculation: on average, each hero class has 107 lots if Resistance and Navigation are both disabled. There are currently (as of 1.6.1) 20 hero classes in Horn of the Abyss, which makes the grand sum of lots 107 x 20 = 2140. [[Interference]] has 54 lots across all hero classes, making its percent 54 / 2140 β 2.52%. Resistance has 68 lots across all hero classes, making its percent 68 / 2140 β 3.18%; but this is only a comparative value, rather than a true percentage, as the chance to get Resistance if it is disabled is 0. A real value could be computed if Resistance was enabled and Interference disabled, or if both were enabled; however enabling or disabling any skill will change the grand sum and thus change the percentages of all skills. For example, if all skills are enabled, the grand sum becomes 2294. Interference's average chances becomes 54 / 2294 β 2.35%; while Resistance's average chances becomes 68 / 2294 β 2.96%; while Artillery's chances go from roughly 4.63% to 4.32%. The chart below assumes Resistance and Navigation are both disabled and the figures given for those skills are only for comparison rather than true percentages. {| cellpadding=0 cellspacing=0 width=25px style="background-color:#{{green 4}}; text-align:center; border:1px solid; float:left;" |+ style="background-color:#{{Green 1}}; color:white; font-size:120%; height: 26px; border:1px solid black;" class="unsortable"| |- style="background-color:#{{Green 2}}; ! height=50px | # |- | height=24px | 1 |- | height=24px | 2 |- | height=24px | 3 |- | height=24px | 4 |- | height=24px | 5 |- | height=24px | 6 |- | height=24px | 7 |- | height=24px | 8 |- | height=24px | 9 |- | height=24px | 10 |- | height=24px | 11 |- | height=24px | 12 |- | height=24px | 13 |- | height=24px | 14 |- | height=24px | 15 |- | height=24px | 16 |- | height=24px | 17 |- | height=24px | 18 |- | height=24px | 19 |- | height=24px | 20 |- | height=24px | 21 |- | height=24px | 22 |- | height=24px | 23 |- | height=24px | 24 |- | height=24px | 25 |- | height=24px | 26 |- | height=24px | 27 |- | height=24px | 28 |- | height=24px | 29 |} {| cellpadding=0 cellspacing=0 width=600px style="background-color:#{{Green 3}}; text-align:left; border:1px solid; align:left" class="sortable" |+ colspan=6 style="background-color:#{{Green 1}}; color:white; font-size:120%; height: 26px; border:1px solid black;" class="unsortable"| '''Total secondary skill chances (in %) {{withhota}}''' |- style="background-color:#{{Green 2}};" class="sortable" ! height=50px align=left|{{-}}Secondary skill ! class="sortable"|All</br>Classes ! class="sortable"|Might</br>Classes ! class="sortable"|Magic</br>Classes ! class="sortable"|Good</br>Classes ! class="sortable"|Neutral</br>Classes ! class="sortable"|Evil</br>Classes |- | height=24px | [[File: Expert Air Magic.png|22px|link=]]{{-}}[[Air Magic]] || 2.8 || 2.1 || 3.5 || 3.1 || 3.2 || 2.0 |- | height=24px | [[File: Expert Archery.png|22px|link=]]{{-}}[[Archery]] || 4.6 || 6.2 || 3.1 || 4.3 || 5.4 || 3.9 |- | height=24px | [[File: Expert Armorer.png|22px|link=]]{{-}}[[Armorer]] || 4.0 || 5.8 || 2.2 || 4.3 || 3.9 || 3.9 |- | height=24px | [[File: Expert Artillery.png|22px|link=]]{{-}}[[Artillery]] || 3.8 || 5.8 || 1.8 || 2.9 || 4.2 || 4.1 |- | height=24px | [[File: Expert Ballistics.png|22px|link=]]{{-}}[[Ballistics]] || 5.4 || 6.3 || 4.6 || 4.6 || 5.6 || 5.9 |- | height=24px | [[File: Expert Diplomacy.png|22px|link=]]{{-}}[[Diplomacy]] || 3.1 || 2.7 || 3.5 || 4.0 || 2.3 || 3.1 |- | height=24px | [[File: Expert Eagle Eye.png|22px|link=]]{{-}}[[Eagle Eye]] || 4.2 || 2.3 || 6.1 || 4.3 || 4.0 || 4.4 |- | height=24px | [[File: Expert Earth Magic.png|22px|link=]]{{-}}[[Earth Magic]] || 3.5 || 2.9 || 4.1 || 2.8 || 3.5 || 4.2 |- | height=24px | [[File: Expert Estates.png|22px|link=]]{{-}}[[Estates]] || 2.7 || 2.7 || 2.6 || 3.6 || 2.0 || 2.7 |- | height=24px | [[File: Expert Fire Magic.png|22px|link=]]{{-}}[[Fire Magic]] || 2.2 || 1.5 || 2.9 || 1.1 || 2.5 || 3.0 |- | height=24px | [[File: Expert First Aid.png|22px|link=]]{{-}}[[First Aid]] || 3.5 || 1.9 || 5.1 || 4.8 || 3.5 || 2.2 |- | height=24px | [[File: Expert Intelligence.png|22px|link=]]{{-}}[[Intelligence]] || 4.3 || 2.0 || 6.6 || 4.6 || 4.0 || 4.4 |- | height=24px | [[File: Expert Interference.png|22px|link=]]{{-}}[[Interference]] || 2.5 || 4.9 || 0.2 || 2.9 || 2.1 || 2.7 |- | height=24px | [[File: Expert Leadership.png|22px|link=]]{{-}}[[Leadership]] || 3.4 || 4.6 || 2.1 || 4.2 || 3.4 || 2.5 |- | height=24px | [[File: Expert Learning.png|22px|link=]]{{-}}[[Learning]] || 4.1 || 4.5 || 3.7 || 4.6 || 4.0 || 3.7 |- | height=24px | [[File: Expert Logistics.png|22px|link=]]{{-}}[[Logistics]] || 4.9 || 6.4 || 3.5 || 4.2 || 5.4 || 5.0 |- | height=24px | [[File: Expert Luck.png|22px|link=]]{{-}}[[Luck (secondary skill)|Luck]] || 3.0 || 2.7 || 3.3 || 4.5 || 3.1 || 1.4 |- | height=24px | [[File: Expert Mysticism.png|22px|link=]]{{-}}[[Mysticism]] || 4.3 || 2.5 || 6.1 || 4.2 || 3.8 || 5.1 |- |- style="background-color:#{{Red 3}};" | height=24px | [[File: Expert Navigation.png|22px|link=]]{{-}}''[[Navigation]]'' || 4.0 || 4.8 || 3.3 || 3.4 || 4.3 || 4.2 |- | height=24px | [[File: Expert Necromancy.png|22px|link=]]{{-}}[[Necromancy]] || 0.9 || 0.9 || 0.9 || 0.0 || 0.0 || 3.1 |- | height=24px | [[File: Expert Offense.png|22px|link=]]{{-}}[[Offense]] || 4.8 || 6.9 || 2.7 || 3.7 || 5.6 || 4.8 |- | height=24px | [[File: Expert Pathfinding.png|22px|link=]]{{-}}[[Pathfinding]] || 4.3 || 5.4 || 3.3 || 3.7 || 5.2 || 3.9 |- |- style="background-color:#{{Red 3}};" | height=24px | [[File: Expert Resistance.png|22px|link=]]{{-}}''[[Resistance]]'' || 3.2 || 4.9 || 1.5 || 3.4 || 2.9 || 3.3 |- | height=24px | [[File: Expert Scholar.png|22px|link=]]{{-}}[[Scholar]] || 3.7 || 1.3 || 6.2 || 4.3 || 3.3 || 3.7 |- | height=24px | [[File: Expert Scouting.png|22px|link=]]{{-}}[[Scouting]] || 3.6 || 5.1 || 2.2 || 3.4 || 4.1 || 3.3 |- | height=24px | [[File: Expert Sorcery.png|22px|link=]]{{-}}[[Sorcery]] || 4.2 || 1.9 || 6.4 || 3.9 || 3.9 || 4.8 |- | height=24px | [[File: Expert Tactics.png|22px|link=]]{{-}}[[Tactics]] || 4.1 || 6.1 || 2.1 || 3.1 || 4.6 || 4.4 |- | height=24px | [[File: Expert Water Magic.png|22px|link=]]{{-}}[[Water Magic]] || 2.7 || 1.8 || 3.6 || 3.1 || 3.2 || 1.7 |- | height=24px | [[File: Expert Wisdom.png|22px|link=]]{{-}}[[Wisdom]] || 5.3 || 3.0 || 7.6 || 5.7 || 4.3 || 6.1 |}
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