User:Guybrush42/DamageExamples: Difference between revisions
Guybrush42 (talk | contribs) (Added alternate stats example for damage rolls using multi-axis table and great sword vs greataxe) |
Guybrush42 (talk | contribs) (→A note on multiple damage dice: New draft) |
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''A re-write of the "A bit of Mathematics" section to use a more realisitic example of greataxe vs greatsword.'' | ''A re-write of the "A bit of Mathematics" section to use a more realisitic example of greataxe vs greatsword.'' | ||
Weapons and spells that roll multiple dice for damage | Weapons and spells that roll multiple dice for damage have higher minimum damage, but also a different probability curve. A single die is equally likely to produce any result, since there is exactly one chance of rolling each number. When adding dice together, there are multiple dice rolls that add up to the same total. Those results are equivalent (ie they have the same functional effect), meaning that some results - especially those in the middle of the damage range - are much more likely to occur. | ||
For example, {{WeaponType|Greataxes}} do {{DamageText|1d12|Slashing}} damage, and are equally likely to roll a 1, a 12 or anything in between. {{WeaponType|Greatswords}} deal {{DamageText|2d6|Slashing}}, and cannot roll lower than 2 damage - but they are statistically much more likely to roll 7 damage than either 2 or 12. | |||
This is most easily explained with a table of all possible outcomes: | This is most easily explained with a table of all possible outcomes: | ||
{| class="wikitable" style="text-align: center;" | {| class="wikitable" style="text-align: center;" | ||
|+ Possible results of a 2d6 roll | |+ Possible results of a 2d6 roll<br/>(intersections are totals) | ||
! rowspan="2" | First<br/>roll | |||
! colspan="6" | Second roll | |||
|- | |- | ||
! 1 !! 2 !! 3 !! 4 !! 5 !! 6 | |||
|- | |- | ||
| '''1''' || 2 || 3 || 4 || 5 || 6 || {{color|red|'''7'''}} | |||
|- | |- | ||
| '''2''' || 3 || 4 || 5 || 6 || {{color|red|'''7'''}} || 8 | |||
|- | |- | ||
| '''3''' || 4 || 5 || 6 || {{color|red|'''7'''}} || 8 || 9 | |||
|- | |- | ||
| '''4''' || 5 || 6 || {{color|red|'''7'''}} || 8 || 9 || 10 | |||
|- | |- | ||
| '''5''' || 6 || {{color|red|'''7'''}} || 8 || 9 || 10 || 11 | |||
|- | |- | ||
| '''6''' || {{color|red|'''7'''}} || 8 || 9 || 10 || 11 || 12 | |||
|} | |} | ||
The 7 appears as the result in 6 out of 36 possible rolls, while the 12 appears only once. This means a 2d6 roll has a 16.6666% (1 in 6) chance of resulting in 7 points of damage, but only a 2.7777% (1 in 36) chance of resulting in | The 7 appears as the result in 6 out of 36 possible rolls, while the 12 appears only once. This means a 2d6 roll has a 16.6666% (1 in 6) chance of resulting in 7 points of damage, but only a 2.7777% (1 in 36) chance of resulting in 12 points of damage. By contrast, a greataxe actually has a higher chance of rolling maximum damage, since 1 out of 12 possibilities (8.3333%) result in an 12. But it has an equal chance of rolling a 1. | ||
Thus greataxes and other single die weapons are equally likely to deliver medium, high or low damage, and feel "swingier" or more random. Greatswords and other multiple dice weapons are more consistent: they're more likely to produce a result in the middle of their damage range, and only rarely roll very high or low. |
Latest revision as of 07:42, 5 November 2023
Test run for damage example tables.
Damage Expressions[edit | edit source]
The intent is to replace the paragraph of examples in the Damage rolls article with a table, so that the full in-game style damage expression can be shown for each example.
Table of examples[edit | edit source]
Source | Simple expression (no modifiers) | Dice | Damage range |
---|---|---|---|
Dagger | 1d4 (1~4) Piercing
|
One four-sided die | 1 to 4 piercing |
Greatsword | 2d6 (2~12) Slashing
|
Two six-sided dice | 2 to 12 slashing |
8d6 (8~48) Fire
|
Eight six-sided dice | 8 to 48 fire |
Current example paragraph[edit | edit source]
For example, a successful attack with a Dagger does a base of 1d4Piercing damage (1~4). This means a single four-sided die is rolled to determine the damage, for a total of 1 to 4 piercing damage. Most weapons use a single damage die, but some two-handed weapons use two: a successful attack with a Greatsword does 2d6Slashing damage (2~12), rolling two six-sided dice for a total of 2 to 12 slashing damage. Damaging spells typically roll more dice: for example, being caught in a will cause 8d6Fire damage (8~48), though a successful Saving Throw can reduce it to half.
A note on multiple damage dice[edit | edit source]
A re-write of the "A bit of Mathematics" section to use a more realisitic example of greataxe vs greatsword.
Weapons and spells that roll multiple dice for damage have higher minimum damage, but also a different probability curve. A single die is equally likely to produce any result, since there is exactly one chance of rolling each number. When adding dice together, there are multiple dice rolls that add up to the same total. Those results are equivalent (ie they have the same functional effect), meaning that some results - especially those in the middle of the damage range - are much more likely to occur.
For example, do 1d12Slashing damage, and are equally likely to roll a 1, a 12 or anything in between. deal 2d6Slashing, and cannot roll lower than 2 damage - but they are statistically much more likely to roll 7 damage than either 2 or 12.
This is most easily explained with a table of all possible outcomes:
First roll |
Second roll | |||||
---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | |
1 | 2 | 3 | 4 | 5 | 6 | 7 |
2 | 3 | 4 | 5 | 6 | 7 | 8 |
3 | 4 | 5 | 6 | 7 | 8 | 9 |
4 | 5 | 6 | 7 | 8 | 9 | 10 |
5 | 6 | 7 | 8 | 9 | 10 | 11 |
6 | 7 | 8 | 9 | 10 | 11 | 12 |
The 7 appears as the result in 6 out of 36 possible rolls, while the 12 appears only once. This means a 2d6 roll has a 16.6666% (1 in 6) chance of resulting in 7 points of damage, but only a 2.7777% (1 in 36) chance of resulting in 12 points of damage. By contrast, a greataxe actually has a higher chance of rolling maximum damage, since 1 out of 12 possibilities (8.3333%) result in an 12. But it has an equal chance of rolling a 1.
Thus greataxes and other single die weapons are equally likely to deliver medium, high or low damage, and feel "swingier" or more random. Greatswords and other multiple dice weapons are more consistent: they're more likely to produce a result in the middle of their damage range, and only rarely roll very high or low.