Halfling Luck: Difference between revisions

Halfling Luck (edit)

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-{{ up to date | 2023-10-03 }} <!-- Date format is YEAR-MONTH-DAY, like 2023-08-07. -->
+{{Passive feature page
-{{ActionPage
+| image = Halfling Luck.webp
-|image = Lucky Racial Feature.webp
+| icon = Halfling Luck Icon.webp
-|summary = '''Lucky''' is a passive feature in Baldur's Gate 3 that grants all halflings to reroll a die when it lands on a 1 for an Attack Roll, Ability Check, or Saving Throw.
+| summary = '''Halfling Luck''' is a passive feature in Baldur's Gate 3 that grants all halflings to reroll a die when it lands on a 1 for an Attack Roll, Ability Check, or Saving Throw.
-|description = When you roll a 1 for an [[Attack Roll]], [[Ability Check]], or [[Saving Throw]], you can reroll the die and must use the new roll.
+| description = When you roll a 1 for an {{Attack Roll}}, {{Ability Check}}, or {{Saving Throw}}, you can reroll the die and must use the new roll.
 | race learns at level 1 = Halfling
 | notes =
+* It is possible for the new roll to be another 1.
+* As of patch 6, when rolling with advantage, the following rules apply:
+** If one die rolls a 1, it's re-rolled, and the higher of the two dice used.
+** If both dice roll a 1, they are '''both''' re-rolled, and the higher one used.
+* The chance to hit displayed when hovering an attack on an enemy doesn't take into account Halfling Luck.
+* Halfling Luck is particularly useful to avoid failures for ability checks and saving throws when the roll would only fail on a critical miss.
+** On a normal roll that succeeds on a 2 or more, Halfling Luck would reduce the chance to fail from 1/20 to 1/400.
+** On a roll with advantage that succeeds on a 2 or more, Halfling Luck would reduce the chance to fail from 1/400 to 1/160000, making it practically impossible to fail. With [[Karmic Dice]] active, it may be simply impossible to roll 4 critical failures in a row.
+** Traders can get all their easy to steal item stolen without fear of missing a single roll.
+*** Be mindful that it can make your character {{SAI|Heavily Encumbered (Condition)|Heavily Encumbered}} which gives disadvantage on all ability checks, including further pickpocket attempts.
+** Stealth checks can get pretty much guaranteed to succeed.
+** Also useful to avoid [[Concentration]] getting interrupted too often by constitution save critical misses when taking low damage.
 }}
+==Math==
+=== Chances of succeeding a specific roll===
+See [[Advantage#Math|Advantage math section]] for comparison.
+{| class="wikitable"
+|+Chance of rolling a target number or above on 1d20 with Halfling Luck
+|-
+! Target on 1d20 !! Luck Normal Roll !! Luck with Advantage !! Luck with Disadvantage
+|-
+|1||100%||100%||100%
+|-
+|2||99.75%||99.9994%||99.5%
+|-
+|3||94.50%||99.7%||89.3%
+|-
+|4||89.25%||98.84%||79.66%
+|-
+|5||84%||97.44%||70.56%
+|-
+|6||78.75%||95.48%||62.02%
+|-
+|7||73.5%||92.98%||54.02%
+|-
+|8||68.25%||89.92%||46.58%
+|-
+|9||63%||86.31%||39.69%
+|-
+|10||57.75%||82.15%||33.35%
+|-
+|11||52.5%||77.44%||27.56%
+|-
+|12||47.25%||72.17%||22.33%
+|-
+|13||42%||66.36%||17.64%
+|-
+|14||36.75%||59.99%||13.51%
+|-
+|15||31.5%||53.08%||9.92%
+|-
+|16||26.25%||45.61%||6.89%
+|-
+|17||21%||37.59%||4.41%
+|-
+|18||15.75%||29.02%||2.48%
+|-
+|19||10.5%||19.9%||1.1%
+|-
+|20||5.25%||10.22%||0.28%
+|}
+=== Chance to hit comparisons ===
+On a normal roll, Halfling Luck multiplies the chance to hit by :
+* 1.05 whatever the target roll is
+** This would be the most noticeable for a target roll of 2 which would add a flat 4.75% chance to hit or almost +1 on a d20.
+** For a target roll of 20 it would add a flat 0.25% chance to hit, which would be a critical success.
+On a roll with Advantage, Halfling Luck multiplies the chance to hit by :
+* 1.003 for a target roll of 2 or a flat +0.25% chance to hit
+* 1.01 for a target roll of 3 or a flat +0.70% chance to hit
+...
+* 1.03 for a target roll of 11 or a flat +2.44% chance to hit
+...
+* 1.05 for a target roll of 20 or a flat +0.47% chance to hit, which would be a critical success.
+On a roll with Disadvantage, Halfling Luck multiplies the chance to hit by :
+* 1.10 whatever the target roll is
+** This would be the most noticeable for a target roll of 2 which would add a flat 9.25% chance to hit or almost +2 on a d20.
+** For a target roll of 20 it would add a flat 0.03% chance to hit, which would be a critical success.
+=== Chance to fail comparisons ===
+On a normal roll, Halfling Luck divides the chance to fail by :
+* 20 for a target roll of 2
+* 1.82 for a target roll of 3
+* 1.40 for a target roll of 4
+...
+* 1.003 for a target roll of 20
+On a roll with Advantage, Halfling Luck divides the chance to fail by :
+* 400 for a target roll of 2
+* 3.31 for a target roll of 3
+* 1.95 for a target roll of 4
+...
+* 1.01 for a target roll of 20
+On a roll with Disadvantage, Halfling Luck divides the chance to fail by :
+* 19.52 for a target roll of 2
+* 1.78 for a target roll of 3
+* 1.36 for a target roll of 4
+...
+* 1.0003 for a target roll of 20
+==External Links==
+*[https://docs.google.com/spreadsheets/d/1ebI3SACmQFpC82tSN5UOQEI4HwizHDOPZDofTJqh9Hs Advantage and Halfling luck calculation] by Kalaeman