How much attack damage does the AC boost from a shield prevent on average?Are there no bonuses to two-handed weapons' damage?Matching TWF to GWF DPR output with magic itemWhat is the expected average damage for an area of effect power?Does the Dueling Fighting Style prevent using a shield?How much damage does Great Weapon Fighting add on average?How does the additional damage from rend apply to DR?How much does ongoing damage add to the average damage when creating a monster?How much damage does a target take from the Assassin rogue's Death Strike on a failed save?Does a zero-damage attack still count as a hit?Pathfinder's Armor Class to Damage Reduction variant in 5eHow does the Shield spell interact with the Barkskin spell?How do you calculate average damage for DPR comparisons?
What is the likely impact of grounding an entire aircraft series?
Accountant/ lawyer will not return my call
Is there an equal sign with wider gap?
How do I deal with a powergamer in a game full of beginners in a school club?
MTG: Can I kill an opponent in response to lethal activated abilities, and not take the damage?
Is having access to past exams cheating and, if yes, could it be proven just by a good grade?
Examples of a statistic that is not independent of sample's distribution?
Why does Captain Marvel assume the planet where she lands would recognize her credentials?
How do I locate a classical quotation?
Unreachable code, but reachable with exception
How do I express some one as a black person?
Things to avoid when using voltage regulators?
What does a stand alone "T" index value do?
Should I tell my boss the work he did was worthless
In the late 1940’s to early 1950’s what technology was available that could melt a LOT of ice?
Finding algorithms of QGIS commands?
Figure-8 landings on perpendicular runways
Space in array system equations
Does splitting a potentially monolithic application into several smaller ones help prevent bugs?
The bar has been raised
Is there any way to damage Intellect Devourer(s) when already within a creature's skull?
Word for a person who has no opinion about whether god exists
Algorithm to convert a fixed-length string to the smallest possible collision-free representation?
What wound would be of little consequence to a biped but terrible for a quadruped?
How much attack damage does the AC boost from a shield prevent on average?
Are there no bonuses to two-handed weapons' damage?Matching TWF to GWF DPR output with magic itemWhat is the expected average damage for an area of effect power?Does the Dueling Fighting Style prevent using a shield?How much damage does Great Weapon Fighting add on average?How does the additional damage from rend apply to DR?How much does ongoing damage add to the average damage when creating a monster?How much damage does a target take from the Assassin rogue's Death Strike on a failed save?Does a zero-damage attack still count as a hit?Pathfinder's Armor Class to Damage Reduction variant in 5eHow does the Shield spell interact with the Barkskin spell?How do you calculate average damage for DPR comparisons?
$begingroup$
Statistically, how much attack damage does the AC boost from a shield prevent on average? I've seen claims it results in a 10% reduction in damage taken, is that accurate?
dnd-5e damage statistics armor-class shield
edited 10 hours ago
doppelgreener♦
32.4k11137231
asked 12 hours ago
AndrásAndrás
28.7k14112206
$endgroup$
add a comment |
$begingroup$
Statistically, how much attack damage does the AC boost from a shield prevent on average? I've seen claims it results in a 10% reduction in damage taken, is that accurate?
dnd-5e damage statistics armor-class shield
edited 10 hours ago
doppelgreener♦
32.4k11137231
asked 12 hours ago
AndrásAndrás
28.7k14112206
$endgroup$
$begingroup$
Let us continue this discussion in chat.
$endgroup$
– NautArch
10 hours ago
add a comment |
$begingroup$
Statistically, how much attack damage does the AC boost from a shield prevent on average? I've seen claims it results in a 10% reduction in damage taken, is that accurate?
dnd-5e damage statistics armor-class shield
edited 10 hours ago
doppelgreener♦
32.4k11137231
asked 12 hours ago
AndrásAndrás
28.7k14112206
$endgroup$
Statistically, how much attack damage does the AC boost from a shield prevent on average? I've seen claims it results in a 10% reduction in damage taken, is that accurate?
dnd-5e damage statistics armor-class shield
dnd-5e damage statistics armor-class shield
edited 10 hours ago
doppelgreener♦
32.4k11137231
asked 12 hours ago
AndrásAndrás
28.7k14112206
edited 10 hours ago
doppelgreener♦
32.4k11137231
asked 12 hours ago
AndrásAndrás
28.7k14112206
edited 10 hours ago
doppelgreener♦
32.4k11137231
edited 10 hours ago
doppelgreener♦
32.4k11137231
edited 10 hours ago
doppelgreener♦
32.4k11137231
32.4k11137231
asked 12 hours ago
AndrásAndrás
28.7k14112206
asked 12 hours ago
AndrásAndrás
28.7k14112206
asked 12 hours ago
AndrásAndrás
28.7k14112206
28.7k14112206
$begingroup$
Let us continue this discussion in chat.
$endgroup$
– NautArch
10 hours ago
add a comment |
$begingroup$
Let us continue this discussion in chat.
$endgroup$
– NautArch
10 hours ago
$begingroup$
Let us continue this discussion in chat.
$endgroup$
– NautArch
10 hours ago
$begingroup$
Let us continue this discussion in chat.
$endgroup$
– NautArch
10 hours ago
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
10% is the naive answer
In actual games it is around 15-25%.
The +2 bonus to AC is 10% of the d20 roll, but it is more complicated than that:
- If the enemy can only hit you on a natural 20, adding a shield does not do anything
- If without a shield the enemy hits you 50% of the time, it becomes 40% with one. The difference is about 20%1.
- If the enemy only misses on 1, dropping the shield does nothing
Calculation
Assume for simplicity that the attacker does 10 hp damage per hit, and criticals increase damage by 5 HP (50%).
The DPR against a shieldless opponent is $$frac(21 - rollNeeded) * 10 + 520 $$
The DPR against a shielded opponent is $$frac(21 - rollNeeded - 2) * 10 + 520 $$
rollNeeded = (your AC) - (opponent's to hit). It is always between 2 and 20.
Table
Substract your typical enemy's to hit from your AC, and find how much a shield would help.
For example you want to decide between dual wielding and sword-and-board for a new Fighter. As starting equipment you can get Chain mail (AC 16), and you expect many Goblins (+4 to hit). You get 12 -> 21.05% less damage received with a shield!
Graph
1) Criticals complicate things
answered 12 hours ago
AndrásAndrás
28.7k14112206
$endgroup$
4
$begingroup$
In my experience, the 15-25% number sounds about right, but comparing typical enemy hit bonus and tanky player AC would make this answer even better.
$endgroup$
– Chris Starnes
12 hours ago
1
$begingroup$
Really nice answer. Interesting how it goes all the way up to 57%, then drops to 0.
$endgroup$
– GreySage
12 hours ago
$begingroup$
Might be worth calling out how you calculate rollNeeded and that it is always a number between 2 and 20, due to the rules surrounding auto-hits and auto-misses.
$endgroup$
– Erik
12 hours ago
$begingroup$
My only critique is that the naive answer should assume a hit on an 11 (and may ignore crits) so I would say it should be 20%. Which is a more reasonable approximation.
$endgroup$
– Jesse
11 hours ago
$begingroup$
Everything in this post seems to check out; one thing I would quibble with is that a 50% damage increase on a Critical hit is probably on the lower end; it's realistic for some scenarios (Dueling Fighting Style characters being the big example) but many characters have some high damage dice that get doubled by a lot on a successful crit.
$endgroup$
– Xirema
10 hours ago
|
show 1 more comment
$begingroup$
About 14%-30% in normal play
I've produced odds for the scenario where the Attacker is a Great-Weapon-Fighter using a Greataxe with a +3 Damage modifier, or 1d12+3[GWF] for a normal hit, or 2d12+3[GWF] for a critical hit. Different weapons and damage modifiers and features will skew these results, but these should represent a relatively "normal" scenario for most modes of play.
Across most of the game, a shield will reduce this Attacker's DPR by a flat 1.034, only meaningfully varying at the highest ACs, when Critical Hits represent the only significant chance to hit.
My experience with the game has taught me that at the usual range of Armor Class values that an average party will encounter (both for themselves and for enemy creatures), the "to-hit" range usually lands between 7 and 15. In this range, we can see that at the low-end, a shield reduces the Attacker's expected DPR (per attack) by about 13.592%, and at the higher end, it reduces DPR by about 29.824%.
beginarrayl
hline
textName & textNormal & text+Shield & text[%]\ hline
textTo-hit = 1 & 10.183 & 9.667 & text-5.067%\ hline
textTo-hit = 2 & 10.183 & 9.150 & text-10.144%\ hline
textTo-hit = 3 & 9.667 & 8.633 & text-10.696%\ hline
textTo-hit = 4 & 9.150 & 8.117 & text-11.290%\ hline
textTo-hit = 5 & 8.633 & 7.600 & text-11.966%\ hline
textTo-hit = 6 & 8.117 & 7.083 & text-12.739%\ hline
textTo-hit = 7 & 7.600 & 6.567 & text-13.592%\ hline
textTo-hit = 8 & 7.083 & 6.050 & text-14.584%\ hline
textTo-hit = 9 & 6.567 & 5.533 & text-15.745%\ hline
textTo-hit = 10 & 6.050 & 5.017 & text-17.074%\ hline
textTo-hit = 11 & 5.533 & 4.500 & text-18.670%\ hline
textTo-hit = 12 & 5.017 & 3.983 & text-20.610%\ hline
textTo-hit = 13 & 4.500 & 3.467 & text-22.956%\ hline
textTo-hit = 14 & 3.983 & 2.950 & text-25.935%\ hline
textTo-hit = 15 & 3.467 & 2.433 & text-29.824%\ hline
textTo-hit = 16 & 2.950 & 1.917 & text-35.017%\ hline
textTo-hit = 17 & 2.433 & 1.400 & text-42.458%\ hline
textTo-hit = 18 & 1.917 & 0.883 & text-53.938%\ hline
textTo-hit = 19 & 1.400 & 0.883 & text-36.929%\ hline
textTo-hit = 20 & 0.883 & 0.883 & text-0.000%\ hline
endarray
I'm producing these values just as a confirmation against Andras' values: I believe the small difference between our results are just the consequences of using different damage dice, and that based on my own results, their values are probably correct for their scenario.
answered 10 hours ago
XiremaXirema
21.1k263123
$endgroup$
$begingroup$
This is kind of my point (and I think you're the right user to explain this to me), but if different to-hit and ACs create differences, then don't we need to know those values in order to answer this?14-30% with your current dataset is fairly swingy.
$endgroup$
– NautArch
10 hours ago
$begingroup$
@András I have a program I use to generate values. There's a discussion here for this answer that describes the in-detail methodology.
$endgroup$
– Xirema
10 hours ago
1
$begingroup$
@András The table uses MathJax. You can attempt to edit the post and look at the markup to figure out how it works. Alternately, you can use the generator at tablesgenerator to create a table, though you need to change thebegintable[]begintabulartags tobeginarrayto work on Stack Overflow.
$endgroup$
– Xirema
9 hours ago
$begingroup$
@Xirema thank you
$endgroup$
– András
9 hours ago
add a comment |
Your Answer
StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["\$", "\$"]]);
);
);
, "mathjax-editing");
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "122"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2frpg.stackexchange.com%2fquestions%2f142963%2fhow-much-attack-damage-does-the-ac-boost-from-a-shield-prevent-on-average%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
10% is the naive answer
In actual games it is around 15-25%.
The +2 bonus to AC is 10% of the d20 roll, but it is more complicated than that:
- If the enemy can only hit you on a natural 20, adding a shield does not do anything
- If without a shield the enemy hits you 50% of the time, it becomes 40% with one. The difference is about 20%1.
- If the enemy only misses on 1, dropping the shield does nothing
Calculation
Assume for simplicity that the attacker does 10 hp damage per hit, and criticals increase damage by 5 HP (50%).
The DPR against a shieldless opponent is $$frac(21 - rollNeeded) * 10 + 520 $$
The DPR against a shielded opponent is $$frac(21 - rollNeeded - 2) * 10 + 520 $$
rollNeeded = (your AC) - (opponent's to hit). It is always between 2 and 20.
Table
Substract your typical enemy's to hit from your AC, and find how much a shield would help.
For example you want to decide between dual wielding and sword-and-board for a new Fighter. As starting equipment you can get Chain mail (AC 16), and you expect many Goblins (+4 to hit). You get 12 -> 21.05% less damage received with a shield!
Graph
1) Criticals complicate things
answered 12 hours ago
AndrásAndrás
28.7k14112206
$endgroup$
4
$begingroup$
In my experience, the 15-25% number sounds about right, but comparing typical enemy hit bonus and tanky player AC would make this answer even better.
$endgroup$
– Chris Starnes
12 hours ago
1
$begingroup$
Really nice answer. Interesting how it goes all the way up to 57%, then drops to 0.
$endgroup$
– GreySage
12 hours ago
$begingroup$
Might be worth calling out how you calculate rollNeeded and that it is always a number between 2 and 20, due to the rules surrounding auto-hits and auto-misses.
$endgroup$
– Erik
12 hours ago
$begingroup$
My only critique is that the naive answer should assume a hit on an 11 (and may ignore crits) so I would say it should be 20%. Which is a more reasonable approximation.
$endgroup$
– Jesse
11 hours ago
$begingroup$
Everything in this post seems to check out; one thing I would quibble with is that a 50% damage increase on a Critical hit is probably on the lower end; it's realistic for some scenarios (Dueling Fighting Style characters being the big example) but many characters have some high damage dice that get doubled by a lot on a successful crit.
$endgroup$
– Xirema
10 hours ago
|
show 1 more comment
$begingroup$
10% is the naive answer
In actual games it is around 15-25%.
The +2 bonus to AC is 10% of the d20 roll, but it is more complicated than that:
- If the enemy can only hit you on a natural 20, adding a shield does not do anything
- If without a shield the enemy hits you 50% of the time, it becomes 40% with one. The difference is about 20%1.
- If the enemy only misses on 1, dropping the shield does nothing
Calculation
Assume for simplicity that the attacker does 10 hp damage per hit, and criticals increase damage by 5 HP (50%).
The DPR against a shieldless opponent is $$frac(21 - rollNeeded) * 10 + 520 $$
The DPR against a shielded opponent is $$frac(21 - rollNeeded - 2) * 10 + 520 $$
rollNeeded = (your AC) - (opponent's to hit). It is always between 2 and 20.
Table
Substract your typical enemy's to hit from your AC, and find how much a shield would help.
For example you want to decide between dual wielding and sword-and-board for a new Fighter. As starting equipment you can get Chain mail (AC 16), and you expect many Goblins (+4 to hit). You get 12 -> 21.05% less damage received with a shield!
Graph
1) Criticals complicate things
answered 12 hours ago
AndrásAndrás
28.7k14112206
$endgroup$
4
$begingroup$
In my experience, the 15-25% number sounds about right, but comparing typical enemy hit bonus and tanky player AC would make this answer even better.
$endgroup$
– Chris Starnes
12 hours ago
1
$begingroup$
Really nice answer. Interesting how it goes all the way up to 57%, then drops to 0.
$endgroup$
– GreySage
12 hours ago
$begingroup$
Might be worth calling out how you calculate rollNeeded and that it is always a number between 2 and 20, due to the rules surrounding auto-hits and auto-misses.
$endgroup$
– Erik
12 hours ago
$begingroup$
My only critique is that the naive answer should assume a hit on an 11 (and may ignore crits) so I would say it should be 20%. Which is a more reasonable approximation.
$endgroup$
– Jesse
11 hours ago
$begingroup$
Everything in this post seems to check out; one thing I would quibble with is that a 50% damage increase on a Critical hit is probably on the lower end; it's realistic for some scenarios (Dueling Fighting Style characters being the big example) but many characters have some high damage dice that get doubled by a lot on a successful crit.
$endgroup$
– Xirema
10 hours ago
|
show 1 more comment
$begingroup$
10% is the naive answer
In actual games it is around 15-25%.
The +2 bonus to AC is 10% of the d20 roll, but it is more complicated than that:
- If the enemy can only hit you on a natural 20, adding a shield does not do anything
- If without a shield the enemy hits you 50% of the time, it becomes 40% with one. The difference is about 20%1.
- If the enemy only misses on 1, dropping the shield does nothing
Calculation
Assume for simplicity that the attacker does 10 hp damage per hit, and criticals increase damage by 5 HP (50%).
The DPR against a shieldless opponent is $$frac(21 - rollNeeded) * 10 + 520 $$
The DPR against a shielded opponent is $$frac(21 - rollNeeded - 2) * 10 + 520 $$
rollNeeded = (your AC) - (opponent's to hit). It is always between 2 and 20.
Table
Substract your typical enemy's to hit from your AC, and find how much a shield would help.
For example you want to decide between dual wielding and sword-and-board for a new Fighter. As starting equipment you can get Chain mail (AC 16), and you expect many Goblins (+4 to hit). You get 12 -> 21.05% less damage received with a shield!
Graph
1) Criticals complicate things
answered 12 hours ago
AndrásAndrás
28.7k14112206
$endgroup$
10% is the naive answer
In actual games it is around 15-25%.
The +2 bonus to AC is 10% of the d20 roll, but it is more complicated than that:
- If the enemy can only hit you on a natural 20, adding a shield does not do anything
- If without a shield the enemy hits you 50% of the time, it becomes 40% with one. The difference is about 20%1.
- If the enemy only misses on 1, dropping the shield does nothing
Calculation
Assume for simplicity that the attacker does 10 hp damage per hit, and criticals increase damage by 5 HP (50%).
The DPR against a shieldless opponent is $$frac(21 - rollNeeded) * 10 + 520 $$
The DPR against a shielded opponent is $$frac(21 - rollNeeded - 2) * 10 + 520 $$
rollNeeded = (your AC) - (opponent's to hit). It is always between 2 and 20.
Table
Substract your typical enemy's to hit from your AC, and find how much a shield would help.
For example you want to decide between dual wielding and sword-and-board for a new Fighter. As starting equipment you can get Chain mail (AC 16), and you expect many Goblins (+4 to hit). You get 12 -> 21.05% less damage received with a shield!
Graph
1) Criticals complicate things
answered 12 hours ago
AndrásAndrás
28.7k14112206
edited 12 hours ago
answered 12 hours ago
AndrásAndrás
28.7k14112206
answered 12 hours ago
AndrásAndrás
28.7k14112206
answered 12 hours ago
AndrásAndrás
28.7k14112206
28.7k14112206
4
$begingroup$
In my experience, the 15-25% number sounds about right, but comparing typical enemy hit bonus and tanky player AC would make this answer even better.
$endgroup$
– Chris Starnes
12 hours ago
1
$begingroup$
Really nice answer. Interesting how it goes all the way up to 57%, then drops to 0.
$endgroup$
– GreySage
12 hours ago
$begingroup$
Might be worth calling out how you calculate rollNeeded and that it is always a number between 2 and 20, due to the rules surrounding auto-hits and auto-misses.
$endgroup$
– Erik
12 hours ago
$begingroup$
My only critique is that the naive answer should assume a hit on an 11 (and may ignore crits) so I would say it should be 20%. Which is a more reasonable approximation.
$endgroup$
– Jesse
11 hours ago
$begingroup$
Everything in this post seems to check out; one thing I would quibble with is that a 50% damage increase on a Critical hit is probably on the lower end; it's realistic for some scenarios (Dueling Fighting Style characters being the big example) but many characters have some high damage dice that get doubled by a lot on a successful crit.
$endgroup$
– Xirema
10 hours ago
|
show 1 more comment
4
$begingroup$
In my experience, the 15-25% number sounds about right, but comparing typical enemy hit bonus and tanky player AC would make this answer even better.
$endgroup$
– Chris Starnes
12 hours ago
1
$begingroup$
Really nice answer. Interesting how it goes all the way up to 57%, then drops to 0.
$endgroup$
– GreySage
12 hours ago
$begingroup$
Might be worth calling out how you calculate rollNeeded and that it is always a number between 2 and 20, due to the rules surrounding auto-hits and auto-misses.
$endgroup$
– Erik
12 hours ago
$begingroup$
My only critique is that the naive answer should assume a hit on an 11 (and may ignore crits) so I would say it should be 20%. Which is a more reasonable approximation.
$endgroup$
– Jesse
11 hours ago
$begingroup$
Everything in this post seems to check out; one thing I would quibble with is that a 50% damage increase on a Critical hit is probably on the lower end; it's realistic for some scenarios (Dueling Fighting Style characters being the big example) but many characters have some high damage dice that get doubled by a lot on a successful crit.
$endgroup$
– Xirema
10 hours ago
4
4
$begingroup$
In my experience, the 15-25% number sounds about right, but comparing typical enemy hit bonus and tanky player AC would make this answer even better.
$endgroup$
– Chris Starnes
12 hours ago
$begingroup$
In my experience, the 15-25% number sounds about right, but comparing typical enemy hit bonus and tanky player AC would make this answer even better.
$endgroup$
– Chris Starnes
12 hours ago
1
1
$begingroup$
Really nice answer. Interesting how it goes all the way up to 57%, then drops to 0.
$endgroup$
– GreySage
12 hours ago
$begingroup$
Really nice answer. Interesting how it goes all the way up to 57%, then drops to 0.
$endgroup$
– GreySage
12 hours ago
$begingroup$
Might be worth calling out how you calculate rollNeeded and that it is always a number between 2 and 20, due to the rules surrounding auto-hits and auto-misses.
$endgroup$
– Erik
12 hours ago
$begingroup$
Might be worth calling out how you calculate rollNeeded and that it is always a number between 2 and 20, due to the rules surrounding auto-hits and auto-misses.
$endgroup$
– Erik
12 hours ago
$begingroup$
My only critique is that the naive answer should assume a hit on an 11 (and may ignore crits) so I would say it should be 20%. Which is a more reasonable approximation.
$endgroup$
– Jesse
11 hours ago
$begingroup$
My only critique is that the naive answer should assume a hit on an 11 (and may ignore crits) so I would say it should be 20%. Which is a more reasonable approximation.
$endgroup$
– Jesse
11 hours ago
$begingroup$
Everything in this post seems to check out; one thing I would quibble with is that a 50% damage increase on a Critical hit is probably on the lower end; it's realistic for some scenarios (Dueling Fighting Style characters being the big example) but many characters have some high damage dice that get doubled by a lot on a successful crit.
$endgroup$
– Xirema
10 hours ago
$begingroup$
Everything in this post seems to check out; one thing I would quibble with is that a 50% damage increase on a Critical hit is probably on the lower end; it's realistic for some scenarios (Dueling Fighting Style characters being the big example) but many characters have some high damage dice that get doubled by a lot on a successful crit.
$endgroup$
– Xirema
10 hours ago
|
show 1 more comment
$begingroup$
About 14%-30% in normal play
I've produced odds for the scenario where the Attacker is a Great-Weapon-Fighter using a Greataxe with a +3 Damage modifier, or 1d12+3[GWF] for a normal hit, or 2d12+3[GWF] for a critical hit. Different weapons and damage modifiers and features will skew these results, but these should represent a relatively "normal" scenario for most modes of play.
Across most of the game, a shield will reduce this Attacker's DPR by a flat 1.034, only meaningfully varying at the highest ACs, when Critical Hits represent the only significant chance to hit.
My experience with the game has taught me that at the usual range of Armor Class values that an average party will encounter (both for themselves and for enemy creatures), the "to-hit" range usually lands between 7 and 15. In this range, we can see that at the low-end, a shield reduces the Attacker's expected DPR (per attack) by about 13.592%, and at the higher end, it reduces DPR by about 29.824%.
beginarrayl
hline
textName & textNormal & text+Shield & text[%]\ hline
textTo-hit = 1 & 10.183 & 9.667 & text-5.067%\ hline
textTo-hit = 2 & 10.183 & 9.150 & text-10.144%\ hline
textTo-hit = 3 & 9.667 & 8.633 & text-10.696%\ hline
textTo-hit = 4 & 9.150 & 8.117 & text-11.290%\ hline
textTo-hit = 5 & 8.633 & 7.600 & text-11.966%\ hline
textTo-hit = 6 & 8.117 & 7.083 & text-12.739%\ hline
textTo-hit = 7 & 7.600 & 6.567 & text-13.592%\ hline
textTo-hit = 8 & 7.083 & 6.050 & text-14.584%\ hline
textTo-hit = 9 & 6.567 & 5.533 & text-15.745%\ hline
textTo-hit = 10 & 6.050 & 5.017 & text-17.074%\ hline
textTo-hit = 11 & 5.533 & 4.500 & text-18.670%\ hline
textTo-hit = 12 & 5.017 & 3.983 & text-20.610%\ hline
textTo-hit = 13 & 4.500 & 3.467 & text-22.956%\ hline
textTo-hit = 14 & 3.983 & 2.950 & text-25.935%\ hline
textTo-hit = 15 & 3.467 & 2.433 & text-29.824%\ hline
textTo-hit = 16 & 2.950 & 1.917 & text-35.017%\ hline
textTo-hit = 17 & 2.433 & 1.400 & text-42.458%\ hline
textTo-hit = 18 & 1.917 & 0.883 & text-53.938%\ hline
textTo-hit = 19 & 1.400 & 0.883 & text-36.929%\ hline
textTo-hit = 20 & 0.883 & 0.883 & text-0.000%\ hline
endarray
I'm producing these values just as a confirmation against Andras' values: I believe the small difference between our results are just the consequences of using different damage dice, and that based on my own results, their values are probably correct for their scenario.
answered 10 hours ago
XiremaXirema
21.1k263123
$endgroup$
$begingroup$
This is kind of my point (and I think you're the right user to explain this to me), but if different to-hit and ACs create differences, then don't we need to know those values in order to answer this?14-30% with your current dataset is fairly swingy.
$endgroup$
– NautArch
10 hours ago
$begingroup$
@András I have a program I use to generate values. There's a discussion here for this answer that describes the in-detail methodology.
$endgroup$
– Xirema
10 hours ago
1
$begingroup$
@András The table uses MathJax. You can attempt to edit the post and look at the markup to figure out how it works. Alternately, you can use the generator at tablesgenerator to create a table, though you need to change thebegintable[]begintabulartags tobeginarrayto work on Stack Overflow.
$endgroup$
– Xirema
9 hours ago
$begingroup$
@Xirema thank you
$endgroup$
– András
9 hours ago
add a comment |
$begingroup$
About 14%-30% in normal play
I've produced odds for the scenario where the Attacker is a Great-Weapon-Fighter using a Greataxe with a +3 Damage modifier, or 1d12+3[GWF] for a normal hit, or 2d12+3[GWF] for a critical hit. Different weapons and damage modifiers and features will skew these results, but these should represent a relatively "normal" scenario for most modes of play.
Across most of the game, a shield will reduce this Attacker's DPR by a flat 1.034, only meaningfully varying at the highest ACs, when Critical Hits represent the only significant chance to hit.
My experience with the game has taught me that at the usual range of Armor Class values that an average party will encounter (both for themselves and for enemy creatures), the "to-hit" range usually lands between 7 and 15. In this range, we can see that at the low-end, a shield reduces the Attacker's expected DPR (per attack) by about 13.592%, and at the higher end, it reduces DPR by about 29.824%.
beginarrayl
hline
textName & textNormal & text+Shield & text[%]\ hline
textTo-hit = 1 & 10.183 & 9.667 & text-5.067%\ hline
textTo-hit = 2 & 10.183 & 9.150 & text-10.144%\ hline
textTo-hit = 3 & 9.667 & 8.633 & text-10.696%\ hline
textTo-hit = 4 & 9.150 & 8.117 & text-11.290%\ hline
textTo-hit = 5 & 8.633 & 7.600 & text-11.966%\ hline
textTo-hit = 6 & 8.117 & 7.083 & text-12.739%\ hline
textTo-hit = 7 & 7.600 & 6.567 & text-13.592%\ hline
textTo-hit = 8 & 7.083 & 6.050 & text-14.584%\ hline
textTo-hit = 9 & 6.567 & 5.533 & text-15.745%\ hline
textTo-hit = 10 & 6.050 & 5.017 & text-17.074%\ hline
textTo-hit = 11 & 5.533 & 4.500 & text-18.670%\ hline
textTo-hit = 12 & 5.017 & 3.983 & text-20.610%\ hline
textTo-hit = 13 & 4.500 & 3.467 & text-22.956%\ hline
textTo-hit = 14 & 3.983 & 2.950 & text-25.935%\ hline
textTo-hit = 15 & 3.467 & 2.433 & text-29.824%\ hline
textTo-hit = 16 & 2.950 & 1.917 & text-35.017%\ hline
textTo-hit = 17 & 2.433 & 1.400 & text-42.458%\ hline
textTo-hit = 18 & 1.917 & 0.883 & text-53.938%\ hline
textTo-hit = 19 & 1.400 & 0.883 & text-36.929%\ hline
textTo-hit = 20 & 0.883 & 0.883 & text-0.000%\ hline
endarray
I'm producing these values just as a confirmation against Andras' values: I believe the small difference between our results are just the consequences of using different damage dice, and that based on my own results, their values are probably correct for their scenario.
answered 10 hours ago
XiremaXirema
21.1k263123
$endgroup$
$begingroup$
This is kind of my point (and I think you're the right user to explain this to me), but if different to-hit and ACs create differences, then don't we need to know those values in order to answer this?14-30% with your current dataset is fairly swingy.
$endgroup$
– NautArch
10 hours ago
$begingroup$
@András I have a program I use to generate values. There's a discussion here for this answer that describes the in-detail methodology.
$endgroup$
– Xirema
10 hours ago
1
$begingroup$
@András The table uses MathJax. You can attempt to edit the post and look at the markup to figure out how it works. Alternately, you can use the generator at tablesgenerator to create a table, though you need to change thebegintable[]begintabulartags tobeginarrayto work on Stack Overflow.
$endgroup$
– Xirema
9 hours ago
$begingroup$
@Xirema thank you
$endgroup$
– András
9 hours ago
add a comment |
$begingroup$
About 14%-30% in normal play
I've produced odds for the scenario where the Attacker is a Great-Weapon-Fighter using a Greataxe with a +3 Damage modifier, or 1d12+3[GWF] for a normal hit, or 2d12+3[GWF] for a critical hit. Different weapons and damage modifiers and features will skew these results, but these should represent a relatively "normal" scenario for most modes of play.
Across most of the game, a shield will reduce this Attacker's DPR by a flat 1.034, only meaningfully varying at the highest ACs, when Critical Hits represent the only significant chance to hit.
My experience with the game has taught me that at the usual range of Armor Class values that an average party will encounter (both for themselves and for enemy creatures), the "to-hit" range usually lands between 7 and 15. In this range, we can see that at the low-end, a shield reduces the Attacker's expected DPR (per attack) by about 13.592%, and at the higher end, it reduces DPR by about 29.824%.
beginarrayl
hline
textName & textNormal & text+Shield & text[%]\ hline
textTo-hit = 1 & 10.183 & 9.667 & text-5.067%\ hline
textTo-hit = 2 & 10.183 & 9.150 & text-10.144%\ hline
textTo-hit = 3 & 9.667 & 8.633 & text-10.696%\ hline
textTo-hit = 4 & 9.150 & 8.117 & text-11.290%\ hline
textTo-hit = 5 & 8.633 & 7.600 & text-11.966%\ hline
textTo-hit = 6 & 8.117 & 7.083 & text-12.739%\ hline
textTo-hit = 7 & 7.600 & 6.567 & text-13.592%\ hline
textTo-hit = 8 & 7.083 & 6.050 & text-14.584%\ hline
textTo-hit = 9 & 6.567 & 5.533 & text-15.745%\ hline
textTo-hit = 10 & 6.050 & 5.017 & text-17.074%\ hline
textTo-hit = 11 & 5.533 & 4.500 & text-18.670%\ hline
textTo-hit = 12 & 5.017 & 3.983 & text-20.610%\ hline
textTo-hit = 13 & 4.500 & 3.467 & text-22.956%\ hline
textTo-hit = 14 & 3.983 & 2.950 & text-25.935%\ hline
textTo-hit = 15 & 3.467 & 2.433 & text-29.824%\ hline
textTo-hit = 16 & 2.950 & 1.917 & text-35.017%\ hline
textTo-hit = 17 & 2.433 & 1.400 & text-42.458%\ hline
textTo-hit = 18 & 1.917 & 0.883 & text-53.938%\ hline
textTo-hit = 19 & 1.400 & 0.883 & text-36.929%\ hline
textTo-hit = 20 & 0.883 & 0.883 & text-0.000%\ hline
endarray
I'm producing these values just as a confirmation against Andras' values: I believe the small difference between our results are just the consequences of using different damage dice, and that based on my own results, their values are probably correct for their scenario.
answered 10 hours ago
XiremaXirema
21.1k263123
$endgroup$
About 14%-30% in normal play
I've produced odds for the scenario where the Attacker is a Great-Weapon-Fighter using a Greataxe with a +3 Damage modifier, or 1d12+3[GWF] for a normal hit, or 2d12+3[GWF] for a critical hit. Different weapons and damage modifiers and features will skew these results, but these should represent a relatively "normal" scenario for most modes of play.
Across most of the game, a shield will reduce this Attacker's DPR by a flat 1.034, only meaningfully varying at the highest ACs, when Critical Hits represent the only significant chance to hit.
My experience with the game has taught me that at the usual range of Armor Class values that an average party will encounter (both for themselves and for enemy creatures), the "to-hit" range usually lands between 7 and 15. In this range, we can see that at the low-end, a shield reduces the Attacker's expected DPR (per attack) by about 13.592%, and at the higher end, it reduces DPR by about 29.824%.
beginarrayl
hline
textName & textNormal & text+Shield & text[%]\ hline
textTo-hit = 1 & 10.183 & 9.667 & text-5.067%\ hline
textTo-hit = 2 & 10.183 & 9.150 & text-10.144%\ hline
textTo-hit = 3 & 9.667 & 8.633 & text-10.696%\ hline
textTo-hit = 4 & 9.150 & 8.117 & text-11.290%\ hline
textTo-hit = 5 & 8.633 & 7.600 & text-11.966%\ hline
textTo-hit = 6 & 8.117 & 7.083 & text-12.739%\ hline
textTo-hit = 7 & 7.600 & 6.567 & text-13.592%\ hline
textTo-hit = 8 & 7.083 & 6.050 & text-14.584%\ hline
textTo-hit = 9 & 6.567 & 5.533 & text-15.745%\ hline
textTo-hit = 10 & 6.050 & 5.017 & text-17.074%\ hline
textTo-hit = 11 & 5.533 & 4.500 & text-18.670%\ hline
textTo-hit = 12 & 5.017 & 3.983 & text-20.610%\ hline
textTo-hit = 13 & 4.500 & 3.467 & text-22.956%\ hline
textTo-hit = 14 & 3.983 & 2.950 & text-25.935%\ hline
textTo-hit = 15 & 3.467 & 2.433 & text-29.824%\ hline
textTo-hit = 16 & 2.950 & 1.917 & text-35.017%\ hline
textTo-hit = 17 & 2.433 & 1.400 & text-42.458%\ hline
textTo-hit = 18 & 1.917 & 0.883 & text-53.938%\ hline
textTo-hit = 19 & 1.400 & 0.883 & text-36.929%\ hline
textTo-hit = 20 & 0.883 & 0.883 & text-0.000%\ hline
endarray
I'm producing these values just as a confirmation against Andras' values: I believe the small difference between our results are just the consequences of using different damage dice, and that based on my own results, their values are probably correct for their scenario.
answered 10 hours ago
XiremaXirema
21.1k263123
answered 10 hours ago
XiremaXirema
21.1k263123
answered 10 hours ago
XiremaXirema
21.1k263123
answered 10 hours ago
XiremaXirema
21.1k263123
21.1k263123
$begingroup$
This is kind of my point (and I think you're the right user to explain this to me), but if different to-hit and ACs create differences, then don't we need to know those values in order to answer this?14-30% with your current dataset is fairly swingy.
$endgroup$
– NautArch
10 hours ago
$begingroup$
@András I have a program I use to generate values. There's a discussion here for this answer that describes the in-detail methodology.
$endgroup$
– Xirema
10 hours ago
1
$begingroup$
@András The table uses MathJax. You can attempt to edit the post and look at the markup to figure out how it works. Alternately, you can use the generator at tablesgenerator to create a table, though you need to change thebegintable[]begintabulartags tobeginarrayto work on Stack Overflow.
$endgroup$
– Xirema
9 hours ago
$begingroup$
@Xirema thank you
$endgroup$
– András
9 hours ago
add a comment |
$begingroup$
This is kind of my point (and I think you're the right user to explain this to me), but if different to-hit and ACs create differences, then don't we need to know those values in order to answer this?14-30% with your current dataset is fairly swingy.
$endgroup$
– NautArch
10 hours ago
$begingroup$
@András I have a program I use to generate values. There's a discussion here for this answer that describes the in-detail methodology.
$endgroup$
– Xirema
10 hours ago
1
$begingroup$
@András The table uses MathJax. You can attempt to edit the post and look at the markup to figure out how it works. Alternately, you can use the generator at tablesgenerator to create a table, though you need to change thebegintable[]begintabulartags tobeginarrayto work on Stack Overflow.
$endgroup$
– Xirema
9 hours ago
$begingroup$
@Xirema thank you
$endgroup$
– András
9 hours ago
$begingroup$
This is kind of my point (and I think you're the right user to explain this to me), but if different to-hit and ACs create differences, then don't we need to know those values in order to answer this?14-30% with your current dataset is fairly swingy.
$endgroup$
– NautArch
10 hours ago
$begingroup$
This is kind of my point (and I think you're the right user to explain this to me), but if different to-hit and ACs create differences, then don't we need to know those values in order to answer this?14-30% with your current dataset is fairly swingy.
$endgroup$
– NautArch
10 hours ago
$begingroup$
@András I have a program I use to generate values. There's a discussion here for this answer that describes the in-detail methodology.
$endgroup$
– Xirema
10 hours ago
$begingroup$
@András I have a program I use to generate values. There's a discussion here for this answer that describes the in-detail methodology.
$endgroup$
– Xirema
10 hours ago
1
1
$begingroup$
@András The table uses MathJax. You can attempt to edit the post and look at the markup to figure out how it works. Alternately, you can use the generator at tablesgenerator to create a table, though you need to change the
begintable[]begintabular tags to beginarray to work on Stack Overflow.$endgroup$
– Xirema
9 hours ago
$begingroup$
@András The table uses MathJax. You can attempt to edit the post and look at the markup to figure out how it works. Alternately, you can use the generator at tablesgenerator to create a table, though you need to change the
begintable[]begintabular tags to beginarray to work on Stack Overflow.$endgroup$
– Xirema
9 hours ago
$begingroup$
@Xirema thank you
$endgroup$
– András
9 hours ago
$begingroup$
@Xirema thank you
$endgroup$
– András
9 hours ago
add a comment |
Thanks for contributing an answer to Role-playing Games Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2frpg.stackexchange.com%2fquestions%2f142963%2fhow-much-attack-damage-does-the-ac-boost-from-a-shield-prevent-on-average%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
Let us continue this discussion in chat.
$endgroup$
– NautArch
10 hours ago