Felnar said:
minor nitpicks but
KarinsDad i think you forgot the +1 attack vs orcs in your halforc vs dwarf calculations
(circumstantial, but dwarves get combat bonuses versus orcs, goblinoids, giants, orges, trolls)
and
why does the sword and board dwarf fighter use a +2 longsword when they could've have a +2 dwarven waraxe
Good point.
I'll post the corrected version:
If you create a Dwarf Tank with Two Handed weapon, they should have the same Dex, Con +2 advantage Dwarf, and Str +2 advantage Half-Orc.
So same AC, Half-Orc has +2 damage for Strength.
This means that every successful hit takes out 2 levels of the Dwarf's Con bonus.
For example, the Half-Orc with 20 Str and 14 Con, Dwarf with 18 Str and 16 Con. The Half-Orc will be doing 2D6 + 7 damage whereas the Dwarf will be doing 2D6 + 6 damage. The Half-Orc Barbarian has 14 hit points, the Dwarf does 13 hits of damage. The Dwarf Barbarian has 15 hit points, the Half-Orc does 14 damage. This is fairly even against each other. However, if the Dwarf is not fighting a Half-Orc, he is -1 more to hit (which means the Half-Orc averages 2 more points of damage than the Dwarf with same to hit Power Attack). And, as levels go up, the Half-Orc's Str will get to 22 where he does 2 more points of damage than the Dwarf (for a total of 4 more damage if fighting a non-Orc opponent with the same to hit).
If you create a Dwarf Tank with Sword and Board, they should have the same Dex, Con +2 advantage Dwarf, and Str +2 advantage Half-Orc.
At low level, the Dwarf has +2 AC because of the large shield and +1 to hit Orcs, but the Half-Orc is +1 to hit. This equates to a 10% difference.
So, if the Half-Orc has a 25% chance of hitting the Dwarf, the Dwarf has a 35% chance of hitting the Half-Orc.
However, the Half-Orc will be doing 2D6 + 1.5 Str damage whereas the Dwarf will be doing D10 + (Str-1) damage. If the Half-Orc has a Strength of 18, the Dwarf has a Str of 16. 25% * 13 points of damage is 3.25 average for the Half-Orc versus 35% * 8.5 = 2.975 damage for the Dwarf.
But at low level, the chances to hit would typically be higher than 25% and 35%. They would tend to be more like 45% and 55%. There, the Half-Orc does even more average damage (5.85 versus 4.675).
As levels get higher, the damage output by the Half-Orc still exceeds that of the Dwarf.
Say, 11th level. Dwarf Fighter has AC 25 with +1 Dex, +2 Dwarven Waraxe, +2 Full Plate, and +2 Large Shield.
Half-Orc Fighter has AC 21 with +1 Dex, +2 Greatsword and +2 Full Plate.
Str 26 Con 18 Half-Orc (+4 Belt and +2 Amulet), Str 24 Con 20 Dwarf (same magic items)
Both have Weapon Focus and Weapon Specialization. Hit points Half-Orc 109, Dwarf 120.
Full round attack, the Sword and Board Dwarf averages:
(95% * D10+11) + (85% * D10+11) + (60% * D10+11) = 37.95 *1.1 (criticals) = 41.745
The Half-Orc averages:
(90% * 2D6+16) + (65% * 2D6+16) + (40% * 2D6+16) = 44.85 *1.1 (criticals) = 49.335
The Half-Orc does 7+ more points of damage on average than the Dwarf. The Dwarf only has 11 more hit points than the Half-Orc, so after two full round attacks, the Dwarf has fewer hit points remaining than the Half-Orc.
Note: the Dwarf does an average of 3.5 more points of damage on a critical (3D10 + 33 > 4D6+32), however, the Half-Orc criticals nearly twice as often (10% of the time * lesser to hit chance versus 5% of the time * greater to hit chance).
Also, if the Dwarf is not fighting the Half-Orc or some other goblin type, he is at -1 to hit (as compared to the numbers here where he is fighting the Half-Orc).
Plus, against Damage Reduction, the Half-Orc shines. Against DR 10, he averages 13 points of damage per hit. The Dwarf averages 6.5 points of damage per hit.
All in all, the Half-Orc is still the better offensive fighting machine. He will last longer in combat not because he has a lot of hit points (the Dwarf has slightly more), but because he will take out opponents faster.