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Halfling Luck: Difference between revisions
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Added notes and the odds of succeeding rolls with Halfling Luck
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(Added notes and the odds of succeeding rolls with Halfling Luck) |
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** If one die rolls a 1, it's re-rolled, and the higher of the two dice used. | ** 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. | ** 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. | |||
** 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=== | |||
{| 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 | |||
On a roll with Advantage, Halfling Luck multiplies the chance to hit by : | |||
* 1.003 for a target roll of 2 | |||
* 1.05 for a target roll of 20 | |||
On a roll with Disadvantage, Halfling Luck multiplies the chance to hit by : | |||
* 1.10 whatever the target roll is | |||
=== 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 | |||