Thieving: Difference between revisions

41 bytes removed ,  30 October 2021
→‎Stealth and Perception: Fix formulas that I cocked up the other day
(Amended various chance formulas)
(→‎Stealth and Perception: Fix formulas that I cocked up the other day)
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==== Success Rate ====
==== Success Rate ====
The chance of success is <math>min\left(1, 100 \times \tfrac{100 + \text{Stealth}}{100 \times \left ( 100 + \text{Perception} \right )}\right)</math>, resulting in a guaranteed success once the player's stealth is the same or greater than the NPC's perception. Some NPCs have a perception that is greater than the maximum possible stealth, therefore it is not always possible to guarantee each pickpocket attempt will succeed.
The chance of success is <math>min\left(1, \tfrac{100 + \text{Stealth}}{100 + \text{Perception}}\right)</math>, resulting in a guaranteed success once the player's stealth is the same or greater than the NPC's perception. Some NPCs have a perception that is greater than the maximum possible stealth, therefore it is not always possible to guarantee each pickpocket attempt will succeed.


==== Item Doubling ====
==== Item Doubling ====
The additional chance to double items due to stealth is <math>min\left(1, \tfrac{\text{Stealth}}{400 \times \text{Perception}}\right)</math>, double items can therefore be guaranteed from stealth alone if the player's stealth is at least four times the NPC's perception. This is additive with the chance to double items provided by other [[#Skill Boosts|Thieving specific]] and [[Double Loot|global]] sources (up to a maximum of 100%), and multiplicative with the 35% chance of quadruple items from the {{ItemIcon|Leprechaun}} and {{ItemIcon|Devil}} [[Summoning#Synergies|synergy]], for a potential 8x multiplier to items received from Thieving.
The additional chance to double items due to stealth is <math>min\left(1, \tfrac{\text{Stealth}}{4 \times \text{Perception}}\right)</math>, double items can therefore be guaranteed from stealth alone if the player's stealth is at least four times the NPC's perception. This is additive with the chance to double items provided by other [[#Skill Boosts|Thieving specific]] and [[Double Loot|global]] sources (up to a maximum of 100%), and multiplicative with the 35% chance of quadruple items from the {{ItemIcon|Leprechaun}} and {{ItemIcon|Devil}} [[Summoning#Synergies|synergy]], for a potential 8x multiplier to items received from Thieving.


The item multiplier applies to all possible item drops, being: NPC common drops, general rare drops, [[#Thieving Targets|NPC unique drops]], and [[#Areas|area unique drops]].
The item multiplier applies to all possible item drops, being: NPC common drops, general rare drops, [[#Thieving Targets|NPC unique drops]], and [[#Areas|area unique drops]].