Hit chance is the probability that an attack using hit chance hits. Regular hits will inflict damage伤害.
Main formula
This is the general formula:
hit chance = skill - defense
With:
skill = skill * skill multiplier
defense = defense * defense multiplier
Skill and Defense refer to either Melee or Ranged Skill and Defense. See their respective sections in this article to calculate values. Defense is subject to diminishing returns. Additionally, being surrounded遭包围 can decrease Melee Defense.
Defense: halved effectiveness
Defense has reduced effectiveness over 50. Each point over this threshold will only give half value for the purpose of calculating hit chance:
if defense > 50, then
defense = 50 + (defense - 50) * 0.5
That, however, does not mean that it is not worth increasing defense past 50. On the contrary, the closer it brings the enemies to 5% hit chance, the greater returns are for each point spent. For example, if an enemy has melee attack 80 (hit chance 80 if melee defense is 0), then it takes 40 points (from 0 to 40) to halve that probability and double the survivability of the defender. Then it takes only 30 more points to double it again (defense 40=>70, hit chance 40=>20), then 20 points (defense 70=>90, hit chance 20=>10) and, finally, only 10 points (defense 90=>100, hit chance 10=>5). Despite the fact that defense is halved over 50, increasing it past that point is nonetheless much more effective than below that threshold.
Surrounding
Surrounding occurs when two or more enemies are adjacent to an ally. Each enemy above the first reduces the defense of the surrounded unit making it easier for everyone to hit it.
melee defense = melee defense - surround bonus * (adjacent enemies - 1)
Height level difference
If the attacker is on a tile that's more elevated than his target's a +10% bonus to hit chance is granted. If the attacker is on a tile that is below his target's a −10% penalty to hit chance per level difference is applied.
Skills ignoring shields
Some skills ignore the defense bonus granted by shields. Shieldwall is unaffected.
hit chance = hit chance - shield defense
With Shield Expert, shield defense = shield defense * 1.25.
Line of fire
The line of fire for ranged attacks can be obstructed by obstacles. Some hinder sight completely making it impossible to select the target they hide. Others just make it more difficult to reach a blocked target. In that case a red arrow blocked by a shield is displayed over the obstacle.
The base hit chance penalty to reach a blocked target is 75%. The Bullseye Perk reduces it to 50% (* 0.66). If this fails the shot goes astray. One among the intended target obstacles is randomly chosen and targeted instead.
If the shot goes astray a −15% penalty to hit chance is applied. Attacks made over allies at a range of 2 tiles are not blocked.
Distance
The hit chance for some skills is modified with distance (in tiles). At distance = 1 (adjacent), hit chance is unmodified.
hit chance = hit chance + (distance to target - 1) * hit chance per tile modifier
Hit chance range
Hit chance for regular attacks cannot be lower than 5% and cannot go higher than 95%.
hit chance = max(5, min(95, hit chance))
Auto hit
Utility skills will always hit.
hit chance = 100
Hit roll
The hit roll is a random number between 1 and 100. If it is lower than the hit chance the attack hits.
hit roll = rand(1, 100)
hit = hit roll <= hit chance
Combat difficulty
If beginner combat difficulty has been selected all hit rolls are modified in favor of the player making it easier for the player to hit enemies and harder for enemies to hit the player.
player hit roll = hit roll - 5
enemy hit roll = hit roll +5
Reroll
If the target is hit and has the Lucky Trait the hit roll is rolled again (once).
Scatter
Projectiles that miss a target (intended or not) at a distance > 2 tiles can scatter and hit adjacent targets. For attackers other than the player the chance is 25% but no ally must be adjacent to the target. For those attackers as well as player controlled units either one of these additional conditions must be met:
- the skill ignores shields
- the target has no shield
- hit roll > hit chance + (shield + shieldwall bonus) * 2
So even if the target has a shield there's a chance for the projectile to scatter. The shield and Shiedwall bonus take into account Shield Expert.
A scattered shot hits as normal but it cannot go astray or scatter again.
Critical hit
If a target is hit a roll is made to determine what body part is hit. If the head is hit the hit is a critical hit and will do additional damage伤害.
critical hit chance = chance to hit head * chance to hit head multiplier
Defense
Defense helps avoid hits. Melee Defense protects against melee attacks while Ranged Defense protects against ranged attacks. Defense is affected by many variables. Modifiers specific to a type are listed under 'Melee' or 'Ranged' sections. Enemies, backgrounds and levels will not be studied here. See the relevant articles.
Trait
Melee
Ranged
Perk
Melee
Ranged
Item
Skill
Effect
Melee
Ranged
Injury
Event
Melee
Ranged
Defense Multiplier
Trait
Perk
Morale士气
Effect
Injury
Melee
Terrain
Skill (accuracy)
Skill increases chance to hit. Melee skill targets melee defense while ranged skill targets ranged defense. Skill is affected by many variables. Modifiers specific to a type are listed under 'Melee' or 'Ranged' sections. Enemies, backgrounds and levels will not be studied here. See the relevant articles.
Trait
Melee
Ranged
Perk
Skill
Melee
Ranged
Effect
Injury
Event
Melee
Ranged
Skill (accuracy) multiplier
Trait
Perk
Morale士气
Effect
Ranged
Injury
Ranged
Terrain
Melee
