Basically I’ve got a campaign soon and I made a bet with my friend about who can do most damage in a nova round(don’t worry the dm knows)
Could someone help me with the Maths what is the average damage of a samurai 5/hexblade 1 with Elven accuracy and hexblades curse up(assume action surge and the typical gwm/greatsword)?
thanks to anyone that can help
Rollback Post to RevisionRollBack
And you run, and you run
To catch up with the sun, but it’s sinking
And racingaround
To come up behind you again
The sun is the same in a relative way
But you’re older
Shorter of Breath
And one day closer to death
currently in love with redesigning subclasses send me a message and I will try
I'll assume you need to roll a ten to hit. With Elven Accuracy you have a 90ish% hit chance, or 66ish% with the minus 5 GWM penalty. That maths out to about 63-64 damage, not counting crits.
Back of napkin calculations suggest: your proficiency bonus roughly tracks with monster AC, such that they basically cancel out, meaning your attack tohit bonus ends up being roughly 50% + ( attack modifier * 5% ) regardless of level.
i.e. a ability score of 20 gives an ability modifier of +5, which gives you roughtly a 75% chance to hit.
If you get a +1 magic weapon, or a +1 spell focus, then that means you're chance tohit is ~ 80%
Samurai can give themselves advantage on attacks for 3 turns per long rest.
advantage is basically +4.4 tohit bonus, so another +20%, ON AVERAGE.
keep in mind, this means on average, you have a 100% chance to hit, but on any individual roll, you might still miss. cause there's a difference between the mean/average and the standard deviation/variance of the rolls.
Elven accuracy says when you roll with advantage, you basically roll 3d20 and take the highest, which is, I believe, an average +6 to hit. so now we're an average to hit of 120%. But you can't hit more than you swing, so you're basically plateaued at 100% to hit, on average.
so, on average, you should do average weapon damage every attack.
assume a greatsword, with 2d6 weapon damage, that's an average of 7 weapon each attack, plus your ability mod of STR for +5, totaling 12 dmg per attack.
The hexblade curse also adds your proficiency bonus while it is active. prof bonus changes with level. so you will start out with an extra 2 dmg per attack at early levels and an extra 6 dmg per attack at high levels. so that means your average attack will do 14 to 18 dmg per attack. lets say 14 for starters
how many attacks per turn you do will depend on yoru level.
the 14 dmg per attack assumes you ignore crit. Adding in crit damage, on a 1d20 attack roll, you have a 5% chance to crit. and if you crit, double the dice damage, meaning take the 7 and multiply by 1.10 = 7.7 + 5 = 12.7 average damage per attack
Elven accuracy is basically 3d20, so thats a 15% chance to crit, which is 7 * 1.30 = 9.1+5 = 14 dmg per attack
hexblade curse changes your crit range from a 20 to a 19-20, which is a 30% chance to crit, 7 * 1.60 = 11.2 + 5 = 17 dmg per attack
great weapon master also says when you score a critical hit with a melee weapon or reduce a creature to 0 hit points with one, you can make one melee weapon attack as a bonus action
so that's basically a 30% chance to crit per attack, if you do 2 attacks, that 60% chance per turn, meaning you are 60% likely to get a bonus action attack of 14 dmg, or inflict an average of .6*14 = 4 extra damage with 1 attack, 8 extra damage with 2 attacks, and 14 extra damage with 3 or more attacks. so when elven accuracy is in effect and you do 2 attacks per turn, you've got pretty much a guarantee to do an extra 17 damage in that bonus round.
to convert this into an average attack per turn, that would be (number of attacks per action + 1 bonus action) * 17 = damage per round
this ignores changing proficiency bonus as you level up.
it also ignores that you wont always get advantage, but samurai should always get advantage for at least th efirst 3 turns, which should be enough to nova.
it also ignores setup: first turn: bonus action hexblade curse, action=attack. second turn: action->attack, bonus action-> assume you get to attack, repeat.
But it should give you an approximate idea on how to calculate average damage
If you want to play around with the numbers, RPGBot's DPR Calculator can handle Elven Accuracy.
If you are facing a CR 6 encounter as a level 6 character, you typically need an 8 to hit, this is the default setting. If you have a +1 weapon, you will need a 7. You will need to also change the requirement for a crit to 19.
How do you have both Great Weapon Mastery and Elven Accuracy as a level 6 character while still being an elf or half-elf to qualify for Elven Accuracy? You shouldn't get a second feat until you reach 8 in Fighter or 4 in Warlock.
Are you going to have Hex up in addition to your Hexblade's Curse?
You will miss 4.29% of the time, hit 68.61% of the time, and crit 27.1% of the time. If you have a +1 weapon, you will miss 2.7% of the time, hit 70.2% of the time, and crit 27.1% of the time. With Elven Accuracy, the +1 weapon doesn't help as much as normal. If you have a +3 stat bonus and no magic weapon, you chance to hit will be worse than expected and you will need a 9 to hit.
With a standard 8 to hit, no +1 weapon, and no Hex, and an 18 attribute, I show that Action Surge + Bonus Action is 5 attacks for 76.48 DPR. With Hex, it's 97.97 per round. Unfortunately, that would require a Bonus Action for Hex, Hexblade's Curse, and the Great Weapon Master's Bonus Attack. If you do all of that and take the -5 to hit for the +10 damage, that's 123.40 average damage per round (each hit will be doing 2D6+4+3+10+1D6 or 4D6 + 2D6 + 17 on a crit).
Edit: If you do want to keep improving DPR, a Vicious Weapon will be better than a +X weapon.
Elven accuracy is basically 3d20, so thats a 15% chance to crit, which is 7 * 1.30 = 9.1+5 = 14 dmg per attack
hexblade curse changes your crit range from a 20 to a 19-20, which is a 30% chance to crit, 7 * 1.60 = 11.2 + 5 = 17 dmg per attack
To calculate the chance to crit with those effects, take the chance to not crit (expressed as a decimal from 0 - 1 where 0 is no chance and 1.00 is 100%). Multiply that times the number of rolls you get to make. Then subtract the result from 1.00 and multiply by 100%
A normal non-crit chance is 0.95 (5% crit chance), with advantage that becomes 0.9025 (9.75% crit chance), and with elven advantage that becomes 0.8145 (18.55% crit chance).
Hexblade's Curse makes that 0.90 (10% crit chance), 0.81 (19% crit chance), 0.729 (27.1% crit chance).
27.1% might be sufficiently close to 30% for "napkin math", but I wanted to add the actual numbers.
If you want to play around with the numbers, RPGBot's DPR Calculator can handle Elven Accuracy.
If you are facing a CR 6 encounter as a level 6 character, you typically need an 8 to hit, this is the default setting. If you have a +1 weapon, you will need a 7. You will need to also change the requirement for a crit to 19.
How do you have both Great Weapon Mastery and Elven Accuracy as a level 6 character while still being an elf or half-elf to qualify for Elven Accuracy? You shouldn't get a second feat until you reach 8 in Fighter or 4 in Warlock.
Are you going to have Hex up in addition to your Hexblade's Curse?
You will miss 4.29% of the time, hit 68.61% of the time, and crit 27.1% of the time. If you have a +1 weapon, you will miss 2.7% of the time, hit 70.2% of the time, and crit 27.1% of the time. With Elven Accuracy, the +1 weapon doesn't help as much as normal. If you have a +3 stat bonus and no magic weapon, you chance to hit will be worse than expected and you will need a 9 to hit.
With a standard 8 to hit, no +1 weapon, and no Hex, and an 18 attribute, I show that Action Surge + Bonus Action is 5 attacks for 76.48 DPR. With Hex, it's 97.97 per round. Unfortunately, that would require a Bonus Action for Hex, Hexblade's Curse, and the Great Weapon Master's Bonus Attack. If you do all of that and take the -5 to hit for the +10 damage, that's 123.40 average damage per round (each hit will be doing 2D6+4+3+10+1D6 or 4D6 + 2D6 + 17 on a crit).
Edit: If you do want to keep improving DPR, a Vicious Weapon will be better than a +X weapon.
Elven accuracy is basically 3d20, so thats a 15% chance to crit, which is 7 * 1.30 = 9.1+5 = 14 dmg per attack
hexblade curse changes your crit range from a 20 to a 19-20, which is a 30% chance to crit, 7 * 1.60 = 11.2 + 5 = 17 dmg per attack
To calculate the chance to crit with those effects, take the chance to not crit (expressed as a decimal from 0 - 1 where 0 is no chance and 1.00 is 100%). Multiply that times the number of rolls you get to make. Then subtract the result from 1.00 and multiply by 100%
A normal non-crit chance is 0.95 (5% crit chance), with advantage that becomes 0.9025 (9.75% crit chance), and with elven advantage that becomes 0.8145 (18.55% crit chance).
Hexblade's Curse makes that 0.90 (10% crit chance), 0.81 (19% crit chance), 0.729 (27.1% crit chance).
27.1% might be sufficiently close to 30% for "napkin math", but I wanted to add the actual numbers.
Starting feat from Dm, variant lineage and then a feat at lvl 4(yes our dm is very generous but he can deal with it)
Rollback Post to RevisionRollBack
And you run, and you run
To catch up with the sun, but it’s sinking
And racingaround
To come up behind you again
The sun is the same in a relative way
But you’re older
Shorter of Breath
And one day closer to death
currently in love with redesigning subclasses send me a message and I will try
Baseline chance to hit is 65%, with the -5 penalty from GWM this decreases to 40%. With Advantage and Elven Accuracy we calculate it as : P(hit) = 1 - P(miss) = 1 - (1- P(hit))^3 = 78.4%
Probability of a Crit rolling one die with Hexblade's Curse = 10%, with Advantage and Elven Accuracy this increases to 27.1%
Damage on a hit : 2d6 (Greatsword) + 3 (Strength) + 3 (HexBladeCurse) + 1d8 (Hex) + 10 (GWM) = 27.5
Critical Extra Damage : 2d6 + 1d8 = 11.5
Expected damage per attack = 0.784*27.5 + 0.271*11.5 = 24.7
Multiply by 2 attacks per Action times 2 actions from Action Surge = 98.7 Nova Damage.
Basically I’ve got a campaign soon and I made a bet with my friend about who can do most damage in a nova round(don’t worry the dm knows)
Could someone help me with the Maths what is the average damage of a samurai 5/hexblade 1 with Elven accuracy and hexblades curse up(assume action surge and the typical gwm/greatsword)?
thanks to anyone that can help
And you run, and you run
To catch up with the sun, but it’s sinking
And racing around
To come up behind you again
The sun is the same in a relative way
But you’re older
Shorter of Breath
And one day closer to death
currently in love with redesigning subclasses send me a message and I will try
I'll assume you need to roll a ten to hit. With Elven Accuracy you have a 90ish% hit chance, or 66ish% with the minus 5 GWM penalty. That maths out to about 63-64 damage, not counting crits.
Including crits:
you have a 34.3% miss chance
38.7% normal hit chance
27ish% hit chance.
I believe this equals around 70 damage.
I might be totally off about this.
Thanks for the time. I don’t really know how difficult the campaign will be or the AC as the first session is soonwill try and say after
And you run, and you run
To catch up with the sun, but it’s sinking
And racing around
To come up behind you again
The sun is the same in a relative way
But you’re older
Shorter of Breath
And one day closer to death
currently in love with redesigning subclasses send me a message and I will try
Back of napkin calculations suggest: your proficiency bonus roughly tracks with monster AC, such that they basically cancel out, meaning your attack tohit bonus ends up being roughly 50% + ( attack modifier * 5% ) regardless of level.
i.e. a ability score of 20 gives an ability modifier of +5, which gives you roughtly a 75% chance to hit.
If you get a +1 magic weapon, or a +1 spell focus, then that means you're chance tohit is ~ 80%
Samurai can give themselves advantage on attacks for 3 turns per long rest.
advantage is basically +4.4 tohit bonus, so another +20%, ON AVERAGE.
keep in mind, this means on average, you have a 100% chance to hit, but on any individual roll, you might still miss. cause there's a difference between the mean/average and the standard deviation/variance of the rolls.
Elven accuracy says when you roll with advantage, you basically roll 3d20 and take the highest, which is, I believe, an average +6 to hit. so now we're an average to hit of 120%. But you can't hit more than you swing, so you're basically plateaued at 100% to hit, on average.
so, on average, you should do average weapon damage every attack.
assume a greatsword, with 2d6 weapon damage, that's an average of 7 weapon each attack, plus your ability mod of STR for +5, totaling 12 dmg per attack.
The hexblade curse also adds your proficiency bonus while it is active. prof bonus changes with level. so you will start out with an extra 2 dmg per attack at early levels and an extra 6 dmg per attack at high levels. so that means your average attack will do 14 to 18 dmg per attack. lets say 14 for starters
how many attacks per turn you do will depend on yoru level.
the 14 dmg per attack assumes you ignore crit. Adding in crit damage, on a 1d20 attack roll, you have a 5% chance to crit. and if you crit, double the dice damage, meaning take the 7 and multiply by 1.10 = 7.7 + 5 = 12.7 average damage per attack
Elven accuracy is basically 3d20, so thats a 15% chance to crit, which is 7 * 1.30 = 9.1+5 = 14 dmg per attack
hexblade curse changes your crit range from a 20 to a 19-20, which is a 30% chance to crit, 7 * 1.60 = 11.2 + 5 = 17 dmg per attack
great weapon master also says when you score a critical hit with a melee weapon or reduce a creature to 0 hit points with one, you can make one melee weapon attack as a bonus action
so that's basically a 30% chance to crit per attack, if you do 2 attacks, that 60% chance per turn, meaning you are 60% likely to get a bonus action attack of 14 dmg, or inflict an average of .6*14 = 4 extra damage with 1 attack, 8 extra damage with 2 attacks, and 14 extra damage with 3 or more attacks. so when elven accuracy is in effect and you do 2 attacks per turn, you've got pretty much a guarantee to do an extra 17 damage in that bonus round.
to convert this into an average attack per turn, that would be (number of attacks per action + 1 bonus action) * 17 = damage per round
this ignores changing proficiency bonus as you level up.
it also ignores that you wont always get advantage, but samurai should always get advantage for at least th efirst 3 turns, which should be enough to nova.
it also ignores setup: first turn: bonus action hexblade curse, action=attack. second turn: action->attack, bonus action-> assume you get to attack, repeat.
But it should give you an approximate idea on how to calculate average damage
Thanks so much. Sounds a little but like a monster against a boss ;)
And you run, and you run
To catch up with the sun, but it’s sinking
And racing around
To come up behind you again
The sun is the same in a relative way
But you’re older
Shorter of Breath
And one day closer to death
currently in love with redesigning subclasses send me a message and I will try
This sounds like a 2014 ruleset game.
If you want to play around with the numbers, RPGBot's DPR Calculator can handle Elven Accuracy.
If you are facing a CR 6 encounter as a level 6 character, you typically need an 8 to hit, this is the default setting. If you have a +1 weapon, you will need a 7. You will need to also change the requirement for a crit to 19.
How do you have both Great Weapon Mastery and Elven Accuracy as a level 6 character while still being an elf or half-elf to qualify for Elven Accuracy? You shouldn't get a second feat until you reach 8 in Fighter or 4 in Warlock.
Are you going to have Hex up in addition to your Hexblade's Curse?
You will miss 4.29% of the time, hit 68.61% of the time, and crit 27.1% of the time. If you have a +1 weapon, you will miss 2.7% of the time, hit 70.2% of the time, and crit 27.1% of the time. With Elven Accuracy, the +1 weapon doesn't help as much as normal. If you have a +3 stat bonus and no magic weapon, you chance to hit will be worse than expected and you will need a 9 to hit.
With a standard 8 to hit, no +1 weapon, and no Hex, and an 18 attribute, I show that Action Surge + Bonus Action is 5 attacks for 76.48 DPR. With Hex, it's 97.97 per round. Unfortunately, that would require a Bonus Action for Hex, Hexblade's Curse, and the Great Weapon Master's Bonus Attack. If you do all of that and take the -5 to hit for the +10 damage, that's 123.40 average damage per round (each hit will be doing 2D6+4+3+10+1D6 or 4D6 + 2D6 + 17 on a crit).
Edit: If you do want to keep improving DPR, a Vicious Weapon will be better than a +X weapon.
To calculate the chance to crit with those effects, take the chance to not crit (expressed as a decimal from 0 - 1 where 0 is no chance and 1.00 is 100%). Multiply that times the number of rolls you get to make. Then subtract the result from 1.00 and multiply by 100%
27.1% might be sufficiently close to 30% for "napkin math", but I wanted to add the actual numbers.
How to add Tooltips.
My houserulings.
Starting feat from Dm, variant lineage and then a feat at lvl 4(yes our dm is very generous but he can deal with it)
And you run, and you run
To catch up with the sun, but it’s sinking
And racing around
To come up behind you again
The sun is the same in a relative way
But you’re older
Shorter of Breath
And one day closer to death
currently in love with redesigning subclasses send me a message and I will try
Play the game you enjoy. :D
Good luck with your bet.
How to add Tooltips.
My houserulings.
Thanks same at you
And you run, and you run
To catch up with the sun, but it’s sinking
And racing around
To come up behind you again
The sun is the same in a relative way
But you’re older
Shorter of Breath
And one day closer to death
currently in love with redesigning subclasses send me a message and I will try
Assuming 2014 Rules:
Baseline chance to hit is 65%, with the -5 penalty from GWM this decreases to 40%. With Advantage and Elven Accuracy we calculate it as : P(hit) = 1 - P(miss) = 1 - (1- P(hit))^3 = 78.4%
Probability of a Crit rolling one die with Hexblade's Curse = 10%, with Advantage and Elven Accuracy this increases to 27.1%
Damage on a hit : 2d6 (Greatsword) + 3 (Strength) + 3 (HexBladeCurse) + 1d8 (Hex) + 10 (GWM) = 27.5
Critical Extra Damage : 2d6 + 1d8 = 11.5
Expected damage per attack = 0.784*27.5 + 0.271*11.5 = 24.7
Multiply by 2 attacks per Action times 2 actions from Action Surge = 98.7 Nova Damage.
Thanks sounds very nasty
And you run, and you run
To catch up with the sun, but it’s sinking
And racing around
To come up behind you again
The sun is the same in a relative way
But you’re older
Shorter of Breath
And one day closer to death
currently in love with redesigning subclasses send me a message and I will try
Hex is 1D6. It shouldn't have a large impact though.
How to add Tooltips.
My houserulings.