Difference between revisions of "Evasion"

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Evasion is a [[Ship]]'s ability to cause its enemy's attack to either [[Miss]] or [[Graze]].  Evasion is expressed as a Rating.
 
Evasion is a [[Ship]]'s ability to cause its enemy's attack to either [[Miss]] or [[Graze]].  Evasion is expressed as a Rating.
  
A complete [[Miss]] nullifies the attacker's chance to [[Grapple]] the target, [[Stun]] the target, or inflict [[Critical]] [[Damage]].  As a side effect, a [[Miss]] may cause the attacker's [[weapon cooldown]] to be reduced.  A graze reduces [[Damage]] against the target by half, nullifies the attacker's ability to inflict [[Critical]] [[Damage]], and does not cause the attacker's [[weapon cooldown]] to be reduced.  It does not nullify the attacker's ability to [[Stun]] or [[Grapple]] the target.
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A complete Miss nullifies the attacker's chance to [[Grapple]] the target, [[Stun]] the target, or inflict [[Critical]] [[Damage]].  As a side effect, a Miss may cause the attacker's [[Weapon Cooldown]] to be reduced.  A Graze reduces Damage against the target by half and does not cause the attacker's Weapon Cooldown to be reduced.  A Graze does not nullify the attacker's ability to Stun or Grapple the target or to inflict Critical Damage.
  
 
==How It Works==
 
==How It Works==
When a weapon is fired at a target, both the attacker and the target roll the virtual dice.  The range of the attacker's dice roll is 1 to (100 + the attacker's [[Hit Chance]] Rating).  The range of the target's dice roll is 1 to his Evasion Rating.  If the target's roll is equal to or greater than the attacker's roll, the shot will result in a [[Miss]].  
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When a weapon is fired at a target, both the attacker and the target roll the virtual dice.  The range of the attacker's dice roll is 1 to (100 + the attacker's [[Hit Chance]] Rating).  The range of the target's dice roll is 1 to his Evasion Rating.  If the target's roll is equal to or greater than the attacker's roll, the shot will result in a Miss.  
  
If the attacker's roll is greater than the target's roll, the dice will be rolled again to determine whether the shot will [[Graze]] or hit.  Again, the target and the attacker will roll the dice as they did in the first roll.  The range of the attacker's dice roll is 1 to (100 + the attacker's [[Hit Chance]] Rating).  The range of the target's dice roll is 1 to his Evasion Rating.  If the target's roll is equal to or greater than the attacker's roll, the shot will result in a [[Graze]].  
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If the attacker's roll is greater than the target's roll, there will be a dice roll to determine whether the attacker inflicts Critical Damage on the target.
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If the Critical roll fails, then the dice will be rolled a third time to determine whether the shot will Graze or [[Hit]].  Again, the target and the attacker will roll the dice as they did in the first roll.  The range of the attacker's dice roll is 1 to (100 + the attacker's Hit Chance Rating).  The range of the target's dice roll is 1 to his Evasion Rating.  If the target's roll is equal to or greater than the attacker's roll, the shot will result in a Graze.  
  
 
==Examples==
 
==Examples==
* Attacker has +20 [[Hit Chance]]
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* Attacker has +20 Hit Chance
* Target has +40 [[Evasion]]
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* Attacker has +20 Critical Chance
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* Target has +40 Evasion
  
 
===Roll #1===
 
===Roll #1===
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* Determines whether the attack will result in a Miss
 
* Attacker Roll Range = {1 to 120}
 
* Attacker Roll Range = {1 to 120}
 
* Attacker Roll = 70
 
* Attacker Roll = 70
 
* Target Roll Range = {1 to 40}
 
* Target Roll Range = {1 to 40}
 
* Target Roll = 25
 
* Target Roll = 25
Result: Shot does not [[Miss]]; continue to Roll #2
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Result: Shot does not Miss; continue to Roll #2
  
 
===Roll #2===
 
===Roll #2===
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* Determines whether the attack will result in Critical Damage
 +
* For this example, we will assume the Critical roll fails
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Result: Shot does not result in Critical Damage; continue to Roll #3
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 +
===Roll #3===
 
* Attacker Roll Range = {1 to 120}
 
* Attacker Roll Range = {1 to 120}
 
* Attacker Roll = 17
 
* Attacker Roll = 17
 
* Target Roll Range = {1 to 40}
 
* Target Roll Range = {1 to 40}
 
* Target Roll = 31
 
* Target Roll = 31
Result: Shot [[Graze]]s target.  
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Result: Shot Grazes target.  
* Attacker's [[Damage]] reduced by 50%
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* Attacker's Damage reduced by 50%
* Attacker cannot cause [[Critical]] [[Damage]]
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* Attacker's ability to [[Stun]] or [[Grapple]] Target is unaffected.
 
* Attacker's ability to [[Stun]] or [[Grapple]] Target is unaffected.
  
==[[Miss]], [[Graze]], [[Critical]]==
 
* In order to [[Miss]], the Target's Roll #1 must be greater than or equal to Attacker's Roll #1.  * Any time the Attacker's Roll is greater than the Evasion Rating of the Target (In the example above, any time the Attacker rolls 41 or greater), the shot will not [[Miss]].
 
* For all other possibilities, in aggregate, there is approximately 50% chance of a [[Miss]].
 
** If the Attacker's Roll is close to the Target's Evasion Rating (in the example above, say: 39), then the likelihood of a [[Miss]] is very low.  If the Attacker's Roll is close to 1, then the chance of a [[Miss]] is very high.
 
  
 
==Formulas==
 
==Formulas==
* H = Attacker's [[Hit Chance]]
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* Input Values
* E = Target's Evasion Rating
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** H = Attacker's Hit Chance
* M = Chance to [[Miss]]
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** C = Attacker's Critical Chance
 
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** E = Target's Evasion Rating
M = (E/2) / (H+100) * 100%
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** R = Target's Critical Resist
 
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* Output Values
===Example===
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** M = Chance to Miss
*So, using the above example, take the Target's Evasion Rating (40). 
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** X = Chance to cause Critical Damage
*Divide by 2 (40/2 = 20). 
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** G = Chance to Graze
*Write the number down.  (20)
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** D = Chance to do normal Damage
*Take the Attacker's [[Hit Chance]] (20).
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*Add 100 (20+100 = 120).
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*Write this number down. (120)
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*Take the first number you wrote down (20).
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*Divide it by the second number you wrote down (20/120 = 1/6 = 0.16667).
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*Multiply the result by 100% (0.16667 * 100% = 16.667)
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*This is the chance to cause a complete [[Miss]]. 16.667%, or 1 in 6.
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===[[Graze]] Example===
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* In order to [[Graze]], the first Roll cannot result in a [[Miss]]
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* The chance that the first roll does not result in a [[Miss]] will be represented as (1-M)
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* Given that the first result is not a [[Miss]], the chance to [[Graze]] is equal to M.
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G = The chance to [[Graze]]
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G = M * (1-M)
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In the above example, M = 1/6.
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*G = 1/6 * (1 - 1/6)
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*G = 1/6 * (5/6)
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*G = 5/36 = 0.138889
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*The chance that any shot will either [[Miss]] or [[Graze]] = M+G = 11/36
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*The chance that any shot will Hit (and possible inflict [[Critical]] [[Damage]] = 25/36 = 69.444%
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===[[Critical]] Example===
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An Attacker cannot inflict [[Critical]] [[Damage]] if he [[Miss]]es or [[Graze]]s.  So an Attacker's actual chance to inflict [[Critical]] [[Damage]] is multiplied by the chance to register a Hit. 
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Let's say, in the above example, the Attacker's [[Critical]] chance was 30%. 
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* X = Chance to inflict [[Critical]] [[Damage]]
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* C = Attacker's [[Critical]] Chance
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X = C * (1 - (M+G))
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*X = 0.30 * (1 - 11/36)
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M = (E/2) / (H+100)
*X = 0.30 * (25/36)
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X = (1-M) * C / (R+100)
*X = 0.30 * 0.69444
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G = (1-M-X) * M
*X = 0.208333 = 20.8333%
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D = 1 - M - X - G

Revision as of 11:54, 16 January 2014

Evasion is a Ship's ability to cause its enemy's attack to either Miss or Graze. Evasion is expressed as a Rating.

A complete Miss nullifies the attacker's chance to Grapple the target, Stun the target, or inflict Critical Damage. As a side effect, a Miss may cause the attacker's Weapon Cooldown to be reduced. A Graze reduces Damage against the target by half and does not cause the attacker's Weapon Cooldown to be reduced. A Graze does not nullify the attacker's ability to Stun or Grapple the target or to inflict Critical Damage.

How It Works

When a weapon is fired at a target, both the attacker and the target roll the virtual dice. The range of the attacker's dice roll is 1 to (100 + the attacker's Hit Chance Rating). The range of the target's dice roll is 1 to his Evasion Rating. If the target's roll is equal to or greater than the attacker's roll, the shot will result in a Miss.

If the attacker's roll is greater than the target's roll, there will be a dice roll to determine whether the attacker inflicts Critical Damage on the target.

If the Critical roll fails, then the dice will be rolled a third time to determine whether the shot will Graze or Hit. Again, the target and the attacker will roll the dice as they did in the first roll. The range of the attacker's dice roll is 1 to (100 + the attacker's Hit Chance Rating). The range of the target's dice roll is 1 to his Evasion Rating. If the target's roll is equal to or greater than the attacker's roll, the shot will result in a Graze.

Examples

  • Attacker has +20 Hit Chance
  • Attacker has +20 Critical Chance
  • Target has +40 Evasion

Roll #1

  • Determines whether the attack will result in a Miss
  • Attacker Roll Range = {1 to 120}
  • Attacker Roll = 70
  • Target Roll Range = {1 to 40}
  • Target Roll = 25

Result: Shot does not Miss; continue to Roll #2

Roll #2

  • Determines whether the attack will result in Critical Damage
  • For this example, we will assume the Critical roll fails

Result: Shot does not result in Critical Damage; continue to Roll #3

Roll #3

  • Attacker Roll Range = {1 to 120}
  • Attacker Roll = 17
  • Target Roll Range = {1 to 40}
  • Target Roll = 31

Result: Shot Grazes target.

  • Attacker's Damage reduced by 50%
  • Attacker's ability to Stun or Grapple Target is unaffected.


Formulas

  • Input Values
    • H = Attacker's Hit Chance
    • C = Attacker's Critical Chance
    • E = Target's Evasion Rating
    • R = Target's Critical Resist
  • Output Values
    • M = Chance to Miss
    • X = Chance to cause Critical Damage
    • G = Chance to Graze
    • D = Chance to do normal Damage

M = (E/2) / (H+100) X = (1-M) * C / (R+100) G = (1-M-X) * M D = 1 - M - X - G