squeen
8, 8, I forget what is for
Here's another table for this crazy thread. I've double-posted it over an K&KA, so sorry if you are reading it twice.
There's a rule about helmets in 1e/AD&D that says if you choose not to wear one, then an intelligent attacker (in close quarters) will aim for your unarmored (AC 10) head with 1 in 2 attacks. The random chance (unintelligent attacker) of getting hit is 1 in 6 plus a hit vs. AC 10 (nekid). So I wondered what affect on your effective (total) AC this AD&D rule has.
NOTE: There's also a rule in AD&D that says you have to remove your helmet to listen at doors. I think they kind of go together.
The rest of the post is copied from the thread on K&KA:
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So, my self-answered question related to this topic is thus:
You are Frodo wearing a mithril chain-shirt (AC 0?), but no helmet...
I wrote a small program in my home brewed MATLAB clone and performed 20,000 trails, using the to-hit tables in the 1e DMG and the 20-always-hits rule. I then looked at the 1 in 6 change an unintelligent creature will accidentally strike at your naked (AC 10) head, and then finally with a 50% chance an intelligent monster will go directly for your bare noggin.
Here's the result if you are being attack by a 1 HD monster, e.g. Frodo gets attacked by an Orc

This basically says that for anything below leather, not wearing a helm has little effect (as expected). That means Merlin in the old Excaliber movie was sporting a metal skullcap presumably to just hide his bald spot.
Around chainmail class AC, forgetting your helm at home starts to hurt you. Versus an unintelligent 1 HD monster, you loss about 1 AC point of protection. Versus an intelligent attacker, you lose about 2-3 points of AC.
In plate mail w/ shield, you lose -1 AC vs. the foolish, but a whopping -4 AC against the wise.
If you are Frodo fighting the Orcs in Moria, and you are more concerned about keeping your armor class a secret from your allies than staying safe, then your awesome body AC of 0 (or even -2) drops to AC 2 (plate+shield) versus a stupid orc, and to AC 5 (chain) versus a smart one (up close).
The spear chucking Orc in Moria, shouldn't have used a missile weapon --- because he, like Thor against Thanos, "should have gone for the head." (I'm sure that, has he lived, Sauron would have made the finer points of combat clear to him at his annual performance evaluation.) Thor too learned his lesson, and held on to his axe for the sequel.
What about higher HD monsters, you ask?
Here's the chart for a 4 HD attacker

You see the attack matrix hasn't really changed much --- it's just biased upwards by 5% x HD, or +20%, but the always-hit-on-20 curve-flattening effect disappears from the extremely good AC results.
Still, let it soak in. AC -2 without a helmet vs. an above-average Ogre:
--> 50% chance of being hit
How about AC -2, no helm, versus a genius Troll (6 HD) with three attacks per round???
--> it's 60% to-hit per attack (40% miss) which works out to be a 1-0.4*0.4*0.4 = 93.6% chance of it landing at least one blow!
Compare that to just a 65.7% chance it would have against you if you weren't so image-conscious!
So...
I've got this thief with an elven chain-mail shirt. He says he doesn't wear a helmet.
How should I indicate to him that it's hurting his AC?
There's a rule about helmets in 1e/AD&D that says if you choose not to wear one, then an intelligent attacker (in close quarters) will aim for your unarmored (AC 10) head with 1 in 2 attacks. The random chance (unintelligent attacker) of getting hit is 1 in 6 plus a hit vs. AC 10 (nekid). So I wondered what affect on your effective (total) AC this AD&D rule has.
NOTE: There's also a rule in AD&D that says you have to remove your helmet to listen at doors. I think they kind of go together.
The rest of the post is copied from the thread on K&KA:
----------------------------------
So, my self-answered question related to this topic is thus:
You are Frodo wearing a mithril chain-shirt (AC 0?), but no helmet...
What's your effective AC in AD&D?
I wrote a small program in my home brewed MATLAB clone and performed 20,000 trails, using the to-hit tables in the 1e DMG and the 20-always-hits rule. I then looked at the 1 in 6 change an unintelligent creature will accidentally strike at your naked (AC 10) head, and then finally with a 50% chance an intelligent monster will go directly for your bare noggin.
Here's the result if you are being attack by a 1 HD monster, e.g. Frodo gets attacked by an Orc

This basically says that for anything below leather, not wearing a helm has little effect (as expected). That means Merlin in the old Excaliber movie was sporting a metal skullcap presumably to just hide his bald spot.
Around chainmail class AC, forgetting your helm at home starts to hurt you. Versus an unintelligent 1 HD monster, you loss about 1 AC point of protection. Versus an intelligent attacker, you lose about 2-3 points of AC.
In plate mail w/ shield, you lose -1 AC vs. the foolish, but a whopping -4 AC against the wise.
If you are Frodo fighting the Orcs in Moria, and you are more concerned about keeping your armor class a secret from your allies than staying safe, then your awesome body AC of 0 (or even -2) drops to AC 2 (plate+shield) versus a stupid orc, and to AC 5 (chain) versus a smart one (up close).
The spear chucking Orc in Moria, shouldn't have used a missile weapon --- because he, like Thor against Thanos, "should have gone for the head." (I'm sure that, has he lived, Sauron would have made the finer points of combat clear to him at his annual performance evaluation.) Thor too learned his lesson, and held on to his axe for the sequel.
What about higher HD monsters, you ask?
Here's the chart for a 4 HD attacker

You see the attack matrix hasn't really changed much --- it's just biased upwards by 5% x HD, or +20%, but the always-hit-on-20 curve-flattening effect disappears from the extremely good AC results.
Still, let it soak in. AC -2 without a helmet vs. an above-average Ogre:
--> 50% chance of being hit
How about AC -2, no helm, versus a genius Troll (6 HD) with three attacks per round???
--> it's 60% to-hit per attack (40% miss) which works out to be a 1-0.4*0.4*0.4 = 93.6% chance of it landing at least one blow!
Compare that to just a 65.7% chance it would have against you if you weren't so image-conscious!
So...
I've got this thief with an elven chain-mail shirt. He says he doesn't wear a helmet.
How should I indicate to him that it's hurting his AC?
- Start describing that the smart monsters are taking head-shots at him?
- ...or just show him this chart?
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