RBT Damage Calculator (summary)
Posted: Sun Jun 13, 2004 4:56 pm
Because I can, because I want to, and because I don't want to repeat myself when someone contends that RBTs are the best way to kill troop type X (specifically Brets). [To Mods - would this summary be "worthy" of a sticky, for reference purposes if nothing else?]
The thing is done in Excel (takes about 10 minutes to set up if you know how) - clearly I can't post up the file, but I can provide backup calculations as is needed (I already did somewhat below). Note that I didn't run the numbers for single characters (mounted or otherwise), Large Targets, and Skirmishers/Artillery Crews. [I can do that later if anyone _really_ wamts to...]
Single Fire - Summary
Single Fire__________Range_____Weighted Average Kills
T3 Infantry___________Long_______0.49
T3 Infantry___________Short______0.66
T3 Cavalry (1 rank)____Long______0.42
T3 Cavalry (1 rank)____Short_____0.56
T3 Cavalry (3 ranks)___Long______0.60
T3 Cavalry (3 ranks)___Short_____0.80
Bret Cavalry (3 ranks)_Long______0.28
Bret Cavalry (3 ranks)_Short______0.37
T4 Infantry ___________Long______0.32
T4 Infantry___________Short______0.43
T4 Cavalry (1 rank)____Long_______0.42
T4 Cavalry (1 rank)____Short_____0.56
T4 Cavalry (3 ranks)___Long______0.46
T4 Cavalry (3 ranks)___Short_____0.62
Note - all infantry assumed in ranks of 5.
Multi-fire - Summary
Multi-fire_______________________________Range______Average Kills
HE Spears_________________________________Long_______2.00
HE Spears_________________________________Short_______2.67
Empire Swordsmen (4+Sv)__________________Long_______1.67
Empire Swordsmen (4+Sv)__________________Short_______2.22
Empire Knights (1+Sv)______________________Long______0.67
Empire Knights (1+Sv)______________________Short______0.89
HE Knights (2+Sv)__________________________Long______1.00
HE Knights (2+Sv)__________________________Short______1.33
Bret Knights (2+Sv + Ward)_________________Long_______0.83
Bret Knights (2+Sv + Ward)_________________Short______1.11
Orc Boyz___________________________________Long______1.50
Orc Boyz___________________________________Short______2.00
Grave Guard (4+Sv)_________________________Long______1.25
Grave Guard (4+Sv)________________________Short______1.67
Ironbreakers (3+Sv)________________________Long______1.00
Boarboyz (3+Sv)____________________________Short_____1.33
Chaos Knights (2+Sv)_______________________Long______0.75
Chaos Knights (2+Sv)_______________________Short______1.00
Chosen Knights (1+Sv)______________________Long______0.50
Chosen Knights (1+Sv)______________________Short_____0.67
Note - All troops up to Brets are T3; all troops starting with and below Orc Boyz are T4.
Note 2 - the above figures represent the average number of kills per volley. That is, I assume 6 shots, with 3 to 4 hits depending on range, and plug in Toughness and Armour as appropriate.
Single-fire - Backup Calcs
Important - first (smaller) entry for each troop type is at Long Range, the second is at Short Range. Basically just like the Single Fire Summary table above.
__________________%%1______%%2_____%%3______%%4______%%5
T3 Infantry___________0.42_______0.35______0.23______0.12_______0.04
T3 Infantry___________0.56_______0.46______0.31______0.15_______0.05
T3 Cavalry (1 rank)____0.42
T3 Cavalry (1 rank)____0.56
T3 Cavalry (3 ranks)___0.42_____0.35_______0.23
T3 Cavalry (3 ranks)___0.56_____0.46_______ 0.31
Bret Cavalry (3 ranks)__0.28_____0.15_______0.09
Bret Cavalry (3 ranks)__0.37_____0.21_______0.11
T4 Infantry____________0.42_____0.28_______0.14______0.05_______0.01
T4 Infantry____________0.56_____0.37_______0.19______0.06_______0.01
T4 Cavalry (1 rank)____0.42
T4 Cavalry (1 rank)____0.56
T4 Cavalry (3 ranks)___0.42_____0.28_______ 0.14
T4 Cavalry (3 ranks)___0.56_____0.37_______ 0.19
Note - all infantry is assumed to come in ranked units of 5. No armour save component, but Brets get a Ward save as per their rules.
EDIT 3 - ADDITIONAL TABLES DEALING WITH MONSTERS AND MONSTROUS MOUNTS
Note 1 - both single fire and multi-fire tables consider the same classes of targets. Only the final outcomes of the calculations are presented.
Note 2 - the "Hits" column considers the total expected number of hits vs. a given target class, treating both the rider and his mount (where appropriate) as a single target. The expected Wounds values are then calculated based on the premise that 1/3 of the hits will go against the rider, while 2/3 of the hits will go against the mount.
Note 3 - all T5 and T6 monsters are considered to be Large Targets (+1 to hit) for the purpose of these calculations. All T4 monsters are not. Riders are considered to be a part of their mounts (see Note 2 above) for purposes of Hit percentages. Note that units of monsters (e.g. 2-ranked regiment of Minotaurs or of Khornate Bloodcrushers) are not considered for simplicity's sake.
Note 4 - to reiterate, all these figures are averages, i.e. the values likely to be approached over many trials. On a single game, or single Shooting Phase, basis the actual percentages may vary widely.
Single Fire
Single Fire_____________________Range_____Hits (total)____# of Wounds (excluding Ward Saves)
T4 Monster (Minotaur)__________Long______0.50___________0.83
T4 Monster (Minotaur)__________Short______0.67___________1.11
T4 Mount (Pegasus Mount)______Long______0.50___________0.56
T4 Mount (Pegasus Mount)______Short______0.67___________0.74
T5 Monster (Giant)______________Long______0.67___________0.89
T5 Monster (Giant)______________Short______0.83___________1.11
T5 Mount (Manticore)____________Long______0.67___________0.59
T5 Mount (Manticore)____________Short_____0.83____________0.74
T6 Monster (Bloodthirster)________Long______0.67___________0.67
T6 Monster (Bloodthirster)________Short______0.83___________0.83
T6 Mount (Dragon)_______________Long______0.67___________0.44
T6 Mount (Dragon)_______________Short______0.83___________0.56
T3 Rider_________________________Long______0.50___________0.28
T3 Rider_________________________Short_____0.67____________0.37
T4 Rider_________________________Long______0.50___________0.28
T4 Rider_________________________Short______0.67___________0.37
T5 Rider_________________________Long______0.50___________0.22
T5 Rider_________________________Short______0.67___________0.30
T3 Rider (Large Target)___________Long______0.67___________0.37
T3 Rider (Large Target)___________Short______0.83___________0.46
T4 Rider (Large Target)___________Long______0.67___________0.37
T4 Rider (Large Target)___________Short_____0.83____________0.46
T5 Rider (Large Target)___________Long______0.67___________0.30
T5 Rider (Large Target)___________Short______0.83___________0.37
Notes:
1. Expected Wounds value calculated assuming an average roll of 3-4 on a D3 (i.e. each hit averages 2 wounds).
2. Expected Wounds value is before any Ward Saves imparted to the monster and/or its rider. To find the maximum (D3 roll = 5-6) and minimum (D3 roll = 1-2) expected Wounds before Ward Saves, multiply the results above by 3/2 (maximum) and 1/2 (minimum) respectively.
Multi-fire
Multi Fire________________________Range_____Hits (total)____Wounds Before Saves
T4 Monster (Minotaur)____________Long______3.00__________1.50
T4 Monster (Minotaur)____________Short______4.00__________2.00
T4 Mount (Pegasus Mount)________Long______3.00__________1.00
T4 Mount (Pegasus Mount)________Short______4.00__________1.33
T5 Monster (Giant)________________Long______4.00__________1.33
T5 Monster (Giant)________________Short______5.00_________1.67
T5 Mount (Manticore)______________Long______4.00_________0.89
T5 Mount (Manticore)_____________Short_______5.00_________1.11
T6 Monster (Bloodthirster)_________Long_______4.00_________0.67
T6 Monster (Bloodthirster)_________Short_______5.00_________0.83
T6 Mount (Dragon)_______________Long________4.00_________0.44
T6 Mount (Dragon)________________Short_______5.00_________0.56
T3 Rider_________________________Long________3.00_________0.67
T3 Rider__________________________Short_______4.00_________0.89
T4 Rider__________________________Long_______3.00_________0.50
T4 Rider__________________________Short_______4.00________0.67
T5 Rider_________________________Long________3.00________0.33
T5 Rider_________________________Short_______4.00__________0.44
T3 Rider (Large Target)___________Long_______4.00_________0.89
T3 Rider (Large Target)___________Short_______5.00________1.11
T4 Rider (Large Target)____________Long_______4.00_______0.67
T4 Rider (Large Target)___________Short_______5.00_______0.83
T5 Rider (Large Target)__________Long________4.00_______0.44
T5 Rider (Large Target)__________Short_______5.00________0.56
Notes:
1. Expected Wounds calculated before armour saves. This was done mainly to save space (as each target class can conceivably have any type of armour/ward save). When comparing single-fire to multi-fire against Monsters and Monstrous Mounts, bear in mind that the seemingly better multi-fire results will likely be reduced after saves. Thus, one multi-fire volley at a Dragon (3+ Sv) will actually cause 0.30 and 0.37 wounds at Long and Short range after saves, not 0.44 and 0.56 as shown above.
The thing is done in Excel (takes about 10 minutes to set up if you know how) - clearly I can't post up the file, but I can provide backup calculations as is needed (I already did somewhat below). Note that I didn't run the numbers for single characters (mounted or otherwise), Large Targets, and Skirmishers/Artillery Crews. [I can do that later if anyone _really_ wamts to...]
Single Fire - Summary
Single Fire__________Range_____Weighted Average Kills
T3 Infantry___________Long_______0.49
T3 Infantry___________Short______0.66
T3 Cavalry (1 rank)____Long______0.42
T3 Cavalry (1 rank)____Short_____0.56
T3 Cavalry (3 ranks)___Long______0.60
T3 Cavalry (3 ranks)___Short_____0.80
Bret Cavalry (3 ranks)_Long______0.28
Bret Cavalry (3 ranks)_Short______0.37
T4 Infantry ___________Long______0.32
T4 Infantry___________Short______0.43
T4 Cavalry (1 rank)____Long_______0.42
T4 Cavalry (1 rank)____Short_____0.56
T4 Cavalry (3 ranks)___Long______0.46
T4 Cavalry (3 ranks)___Short_____0.62
Note - all infantry assumed in ranks of 5.
Multi-fire - Summary
Multi-fire_______________________________Range______Average Kills
HE Spears_________________________________Long_______2.00
HE Spears_________________________________Short_______2.67
Empire Swordsmen (4+Sv)__________________Long_______1.67
Empire Swordsmen (4+Sv)__________________Short_______2.22
Empire Knights (1+Sv)______________________Long______0.67
Empire Knights (1+Sv)______________________Short______0.89
HE Knights (2+Sv)__________________________Long______1.00
HE Knights (2+Sv)__________________________Short______1.33
Bret Knights (2+Sv + Ward)_________________Long_______0.83
Bret Knights (2+Sv + Ward)_________________Short______1.11
Orc Boyz___________________________________Long______1.50
Orc Boyz___________________________________Short______2.00
Grave Guard (4+Sv)_________________________Long______1.25
Grave Guard (4+Sv)________________________Short______1.67
Ironbreakers (3+Sv)________________________Long______1.00
Boarboyz (3+Sv)____________________________Short_____1.33
Chaos Knights (2+Sv)_______________________Long______0.75
Chaos Knights (2+Sv)_______________________Short______1.00
Chosen Knights (1+Sv)______________________Long______0.50
Chosen Knights (1+Sv)______________________Short_____0.67
Note - All troops up to Brets are T3; all troops starting with and below Orc Boyz are T4.
Note 2 - the above figures represent the average number of kills per volley. That is, I assume 6 shots, with 3 to 4 hits depending on range, and plug in Toughness and Armour as appropriate.
Single-fire - Backup Calcs
Important - first (smaller) entry for each troop type is at Long Range, the second is at Short Range. Basically just like the Single Fire Summary table above.
__________________%%1______%%2_____%%3______%%4______%%5
T3 Infantry___________0.42_______0.35______0.23______0.12_______0.04
T3 Infantry___________0.56_______0.46______0.31______0.15_______0.05
T3 Cavalry (1 rank)____0.42
T3 Cavalry (1 rank)____0.56
T3 Cavalry (3 ranks)___0.42_____0.35_______0.23
T3 Cavalry (3 ranks)___0.56_____0.46_______ 0.31
Bret Cavalry (3 ranks)__0.28_____0.15_______0.09
Bret Cavalry (3 ranks)__0.37_____0.21_______0.11
T4 Infantry____________0.42_____0.28_______0.14______0.05_______0.01
T4 Infantry____________0.56_____0.37_______0.19______0.06_______0.01
T4 Cavalry (1 rank)____0.42
T4 Cavalry (1 rank)____0.56
T4 Cavalry (3 ranks)___0.42_____0.28_______ 0.14
T4 Cavalry (3 ranks)___0.56_____0.37_______ 0.19
Note - all infantry is assumed to come in ranked units of 5. No armour save component, but Brets get a Ward save as per their rules.
EDIT 3 - ADDITIONAL TABLES DEALING WITH MONSTERS AND MONSTROUS MOUNTS
Note 1 - both single fire and multi-fire tables consider the same classes of targets. Only the final outcomes of the calculations are presented.
Note 2 - the "Hits" column considers the total expected number of hits vs. a given target class, treating both the rider and his mount (where appropriate) as a single target. The expected Wounds values are then calculated based on the premise that 1/3 of the hits will go against the rider, while 2/3 of the hits will go against the mount.
Note 3 - all T5 and T6 monsters are considered to be Large Targets (+1 to hit) for the purpose of these calculations. All T4 monsters are not. Riders are considered to be a part of their mounts (see Note 2 above) for purposes of Hit percentages. Note that units of monsters (e.g. 2-ranked regiment of Minotaurs or of Khornate Bloodcrushers) are not considered for simplicity's sake.
Note 4 - to reiterate, all these figures are averages, i.e. the values likely to be approached over many trials. On a single game, or single Shooting Phase, basis the actual percentages may vary widely.
Single Fire
Single Fire_____________________Range_____Hits (total)____# of Wounds (excluding Ward Saves)
T4 Monster (Minotaur)__________Long______0.50___________0.83
T4 Monster (Minotaur)__________Short______0.67___________1.11
T4 Mount (Pegasus Mount)______Long______0.50___________0.56
T4 Mount (Pegasus Mount)______Short______0.67___________0.74
T5 Monster (Giant)______________Long______0.67___________0.89
T5 Monster (Giant)______________Short______0.83___________1.11
T5 Mount (Manticore)____________Long______0.67___________0.59
T5 Mount (Manticore)____________Short_____0.83____________0.74
T6 Monster (Bloodthirster)________Long______0.67___________0.67
T6 Monster (Bloodthirster)________Short______0.83___________0.83
T6 Mount (Dragon)_______________Long______0.67___________0.44
T6 Mount (Dragon)_______________Short______0.83___________0.56
T3 Rider_________________________Long______0.50___________0.28
T3 Rider_________________________Short_____0.67____________0.37
T4 Rider_________________________Long______0.50___________0.28
T4 Rider_________________________Short______0.67___________0.37
T5 Rider_________________________Long______0.50___________0.22
T5 Rider_________________________Short______0.67___________0.30
T3 Rider (Large Target)___________Long______0.67___________0.37
T3 Rider (Large Target)___________Short______0.83___________0.46
T4 Rider (Large Target)___________Long______0.67___________0.37
T4 Rider (Large Target)___________Short_____0.83____________0.46
T5 Rider (Large Target)___________Long______0.67___________0.30
T5 Rider (Large Target)___________Short______0.83___________0.37
Notes:
1. Expected Wounds value calculated assuming an average roll of 3-4 on a D3 (i.e. each hit averages 2 wounds).
2. Expected Wounds value is before any Ward Saves imparted to the monster and/or its rider. To find the maximum (D3 roll = 5-6) and minimum (D3 roll = 1-2) expected Wounds before Ward Saves, multiply the results above by 3/2 (maximum) and 1/2 (minimum) respectively.
Multi-fire
Multi Fire________________________Range_____Hits (total)____Wounds Before Saves
T4 Monster (Minotaur)____________Long______3.00__________1.50
T4 Monster (Minotaur)____________Short______4.00__________2.00
T4 Mount (Pegasus Mount)________Long______3.00__________1.00
T4 Mount (Pegasus Mount)________Short______4.00__________1.33
T5 Monster (Giant)________________Long______4.00__________1.33
T5 Monster (Giant)________________Short______5.00_________1.67
T5 Mount (Manticore)______________Long______4.00_________0.89
T5 Mount (Manticore)_____________Short_______5.00_________1.11
T6 Monster (Bloodthirster)_________Long_______4.00_________0.67
T6 Monster (Bloodthirster)_________Short_______5.00_________0.83
T6 Mount (Dragon)_______________Long________4.00_________0.44
T6 Mount (Dragon)________________Short_______5.00_________0.56
T3 Rider_________________________Long________3.00_________0.67
T3 Rider__________________________Short_______4.00_________0.89
T4 Rider__________________________Long_______3.00_________0.50
T4 Rider__________________________Short_______4.00________0.67
T5 Rider_________________________Long________3.00________0.33
T5 Rider_________________________Short_______4.00__________0.44
T3 Rider (Large Target)___________Long_______4.00_________0.89
T3 Rider (Large Target)___________Short_______5.00________1.11
T4 Rider (Large Target)____________Long_______4.00_______0.67
T4 Rider (Large Target)___________Short_______5.00_______0.83
T5 Rider (Large Target)__________Long________4.00_______0.44
T5 Rider (Large Target)__________Short_______5.00________0.56
Notes:
1. Expected Wounds calculated before armour saves. This was done mainly to save space (as each target class can conceivably have any type of armour/ward save). When comparing single-fire to multi-fire against Monsters and Monstrous Mounts, bear in mind that the seemingly better multi-fire results will likely be reduced after saves. Thus, one multi-fire volley at a Dragon (3+ Sv) will actually cause 0.30 and 0.37 wounds at Long and Short range after saves, not 0.44 and 0.56 as shown above.