MathHammer - Revision history

Stuffingnuffing: /* External Links */

2025-02-22T11:22:42Z

External Links

← Older revision		Revision as of 11:22, 22 February 2025
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	=External Links=		=External Links=
	*[https://www.unitcrunch.com UnitCrunch (40k ~~9th Edition~~ MathHammer web app)]		*[https://www.unitcrunch.com UnitCrunch (40k MathHammer web app)]
	[[Category:Warhammer_40,000]]		[[Category:Warhammer_40,000]]

imported>Administrator: 23 revisions imported

2023-06-22T03:14:32Z

23 revisions imported

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imported>Administrator: 1 revision imported

2023-06-19T02:40:36Z

1 revision imported

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2607:FB90:3232:9356:0:32:B1B8:B01: /* Causing an Unsaved Wound, the dirty eyeball method */

2022-07-11T05:21:25Z

Causing an Unsaved Wound, the dirty eyeball method

← Older revision		Revision as of 05:21, 11 July 2022
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	As such if you take the number of attacks and divide the number by six you have the expected out come for each results on a d6. As an example, if you had 60 attacks you'd expect 10 1's, 10 2's, 10 3's, 10 4's, 10, 5's and 10 6's. From there you can keep eye balling results as each gets winnowed down.		As such if you take the number of attacks and divide the number by six you have the expected out come for each results on a d6. As an example, if you had 60 attacks you'd expect 10 1's, 10 2's, 10 3's, 10 4's, 10, 5's and 10 6's. From there you can keep eye balling results as each gets winnowed down.

	For a more expansive example we will have 60 conscripts under the effects of First rank fire, second rank fire, shoot lasguns at rapid fire range at 20 chaos space marines, for a total of 80 shots. We will also have them be caidan's for reroll to one's and Hammer of the Emperor will be active so Sixes's will auto wound.		For a more expansive example we will have 20 conscripts under the effects of First rank fire, second rank fire, shoot lasguns at rapid fire range at 20 chaos space marines, for a total of 80 shots. We will also have them be caidan's for reroll to one's and Hammer of the Emperor will be active so Sixes's will auto wound.

	#Divide number of attacks by 6, in this case 80/6=13.33 round down to 13. So we can expect roughly 13 of each results. Conscripts hit on 5 and 6 so 13 results are hits and 13 are hits that auto wound due to hammer of the emperor. Additionally 13 of those misses were on a 1 so those are re rolled. Repeating the step: 13/6=2.16 round down to 2. So 2 more of those to hit's are 5's and 2 more are sixes. (since again we are expecting 2 of each kind of result on a d6)		#Divide number of attacks by 6, in this case 80/6=13.33 round down to 13. So we can expect roughly 13 of each results. Conscripts hit on 5 and 6 so 13 results are hits and 13 are hits that auto wound due to hammer of the emperor. Additionally 13 of those misses were on a 1 so those are re rolled. Repeating the step: 13/6=2.16 round down to 2. So 2 more of those to hit's are 5's and 2 more are sixes. (since again we are expecting 2 of each kind of result on a d6)

2601:1C0:5C01:EAA0:0:0:0:C26D: /* Causing an Unsaved Wound, the dirty eyeball method */

2022-07-10T01:11:36Z

Causing an Unsaved Wound, the dirty eyeball method

← Older revision		Revision as of 01:11, 10 July 2022
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	As such if you take the number of attacks and divide the number by six you have the expected out come for each results on a d6. As an example, if you had 60 attacks you'd expect 10 1's, 10 2's, 10 3's, 10 4's, 10, 5's and 10 6's. From there you can keep eye balling results as each gets winnowed down.		As such if you take the number of attacks and divide the number by six you have the expected out come for each results on a d6. As an example, if you had 60 attacks you'd expect 10 1's, 10 2's, 10 3's, 10 4's, 10, 5's and 10 6's. From there you can keep eye balling results as each gets winnowed down.

	For a more expansive example we will have 60 conscripts under the effects of First rank fire, second rank fire, shoot lasguns at rapid fire range at 20 chaos space marines, for a total of 80 shots. We will also have them be caidan's for reroll to one's and Hammer of the Emperor will be active so ~~size~~'s will auto wound.		For a more expansive example we will have 60 conscripts under the effects of First rank fire, second rank fire, shoot lasguns at rapid fire range at 20 chaos space marines, for a total of 80 shots. We will also have them be caidan's for reroll to one's and Hammer of the Emperor will be active so Sixes's will auto wound.

	#Divide number of attacks by 6, in this case 80/6=13.33 round down to 13. So we can expect roughly 13 of each results. Conscripts hit on 5 and 6 so 13 results are hits and 13 are hits that auto wound due to hammer of the emperor. Additionally 13 of those misses were on a 1 so those are re rolled. ~~repeating~~ the step, 13/6=2.16 round down to 2. So 2 more of those to hit's are 5's and 2 more are sixes. (since again we are expecting 1 of each kind of result on a d6)		#Divide number of attacks by 6, in this case 80/6=13.33 round down to 13. So we can expect roughly 13 of each results. Conscripts hit on 5 and 6 so 13 results are hits and 13 are hits that auto wound due to hammer of the emperor. Additionally 13 of those misses were on a 1 so those are re rolled. Repeating the step: 13/6=2.16 round down to 2. So 2 more of those to hit's are 5's and 2 more are sixes. (since again we are expecting 2 of each kind of result on a d6)
	#Divide number of hits by 6. In this case we have 15 hits that need to wound, and 15 that have already wounded. 15/6=2.5 round up to 3. lasgun's wound on a 5+ so we can expect 6 wounds as the 3 fives and 3 sixes we can expect will wound meaning adding the 15 that have already wounded thanks to Hammer of the Emperor we have 21 wounds.*		#Divide number of hits by 6. In this case we have 15 hits that need to wound, and 15 that have already wounded. 15/6=2.5 round up to 3. lasgun's wound on a 5+ so we can expect 6 wounds as the 3 fives and 3 sixes we can expect will wound meaning adding the 15 that have already wounded thanks to Hammer of the Emperor we have 21 wounds.*
	# Divide the number of wounds by 6 again. 21/6=3.5 round up to 4. Since marine's fail on a 1 or 2 that's 8 unsaved wounds.		# Divide the number of wounds by 6 again. 21/6=3.5 round up to 4. Since marine's fail on a 1 or 2 that's 8 unsaved wounds.

2601:1C0:5C01:EAA0:0:0:0:C26D: /* Causing an Unsaved Wound, the dirty eyeball method */

2022-07-09T23:08:16Z

Causing an Unsaved Wound, the dirty eyeball method

← Older revision		Revision as of 23:08, 9 July 2022
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	#Divide number of attacks by 6, in this case 80/6=13.33 round down to 13. So we can expect roughly 13 of each results. Conscripts hit on 5 and 6 so 13 results are hits and 13 are hits that auto wound due to hammer of the emperor. Additionally 13 of those misses were on a 1 so those are re rolled. repeating the step, 13/6=2.16 round down to 2. So 2 more of those to hit's are 5's and 2 more are sixes. (since again we are expecting 1 of each kind of result on a d6)		#Divide number of attacks by 6, in this case 80/6=13.33 round down to 13. So we can expect roughly 13 of each results. Conscripts hit on 5 and 6 so 13 results are hits and 13 are hits that auto wound due to hammer of the emperor. Additionally 13 of those misses were on a 1 so those are re rolled. repeating the step, 13/6=2.16 round down to 2. So 2 more of those to hit's are 5's and 2 more are sixes. (since again we are expecting 1 of each kind of result on a d6)
	#Divide number of hits by 6. In this case we have 15 hits that need to wound, and 15 that have already wounded. 15/6=2.5 round up to 3. lasgun's wound on a 5+ so we can expect 6 wounds as the 3 fives and 3 sixes we can expect will wound meaning adding the 15 that have already wounded thanks to Hammer of the Emperor we have 21 wounds.		#Divide number of hits by 6. In this case we have 15 hits that need to wound, and 15 that have already wounded. 15/6=2.5 round up to 3. lasgun's wound on a 5+ so we can expect 6 wounds as the 3 fives and 3 sixes we can expect will wound meaning adding the 15 that have already wounded thanks to Hammer of the Emperor we have 21 wounds.*
	# Divide the number of wounds by 6 again. 21/6=3.5 round up to 4. Since marine's fail on a 1 or 2 that's 8 unsaved wounds.		# Divide the number of wounds by 6 again. 21/6=3.5 round up to 4. Since marine's fail on a 1 or 2 that's 8 unsaved wounds.
	# If there is an ability that let's them ignore wounds then take the number of failed wounds and again divide by six to give you the number of expected results for each number, then take the number of brackets it ignores wound by that's you result. So back to the chaos marines 8/6=1.33 round down so if they ignore wounds on a 5+, then 2 of them ignore the wounds.		# If there is an ability that let's them ignore wounds then take the number of failed wounds and again divide by six to give you the number of expected results for each number, then take the number of brackets it ignores wound by that's you result. So back to the chaos marines 8/6=1.33 round down so if they ignore wounds on a 5+, then 2 of them ignore the wounds.

	This method is quick and dirty with the final number being far less precise then the 216 method. However rather then telling you the odds of any individual lasgun shot killing a marine, this method can give you the rough expected out come of a lot individual attacks happening at once. It fails however if at any point in the process you need to divide by less then 6, since again we divide by six to let you know how many of each result we can roughly expect to happen. So it can't tell you the odds of a single lascannon wounding or hitting but works better for large volume's of attacks.		This method is quick and dirty with the final number being far less precise then the 216 method. However rather then telling you the odds of any individual lasgun shot killing a marine, this method can give you the rough expected out come of a lot individual attacks happening at once. It fails however if at any point in the process you need to divide by less then 6, since again we divide by six to let you know how many of each result we can roughly expect to happen. So it can't tell you the odds of a single lascannon wounding or hitting but works better for large volume's of attacks.

			*This method also show's why any ability that auto hit's or wounds is powerful since it completely skips a step thus preventing results from being reduced either by failed BS or To wound rolls.

	=Why you would want to do this=		=Why you would want to do this=

2601:1C0:5C01:EAA0:0:0:0:C26D: /* Causing an Unsaved Wound, the 216 method */ My own methoid of eyeballing number of wounds

2022-07-09T23:00:50Z

Causing an Unsaved Wound, the 216 method: My own methoid of eyeballing number of wounds

← Older revision		Revision as of 23:00, 9 July 2022
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	Now you can compare the squad to other units available to you, 5 Khorne Berzerkers for example pay 7.91 pts per unsaved wound they cause assuming they don't lose any models when the Guardsmen strike back before they can fight a second time. That means Khorne Berzerkers with chainaxes are 2,69 times as effective at killing Infantry Squads in melee compared to a Chaos Space Marine unit with chainswords. For this reason and because attacking twice also gives a lot of tactical flexibility Chaos Space Marines with chainswords are never used, on the other hand Khorne Berzerkers get used a lot more relative to the Chaos Space Marines. You also need to factor in how vulnerable a unit is, in this case Khorne Berzerkers pay 30% more per wound, but if you are paying for a Rhino to transport and protect your melee unit, suddenly you are paying very little extra to have Khorne Berzerkers instead of Chaos Space Marines and the durability issue is mitigated by the Rhino.		Now you can compare the squad to other units available to you, 5 Khorne Berzerkers for example pay 7.91 pts per unsaved wound they cause assuming they don't lose any models when the Guardsmen strike back before they can fight a second time. That means Khorne Berzerkers with chainaxes are 2,69 times as effective at killing Infantry Squads in melee compared to a Chaos Space Marine unit with chainswords. For this reason and because attacking twice also gives a lot of tactical flexibility Chaos Space Marines with chainswords are never used, on the other hand Khorne Berzerkers get used a lot more relative to the Chaos Space Marines. You also need to factor in how vulnerable a unit is, in this case Khorne Berzerkers pay 30% more per wound, but if you are paying for a Rhino to transport and protect your melee unit, suddenly you are paying very little extra to have Khorne Berzerkers instead of Chaos Space Marines and the durability issue is mitigated by the Rhino.

			=Causing an Unsaved Wound, the dirty eyeball method=
			If your in a hurry or have a lot of attacks to mathhammer at once you can instead use this methoid for a quick and dirty approximation. Since The odds of a dice landing any indivdual result is the same, then in theory if you rolled six dice you are expected to get one of each of the results. In practice your never that lucky but over an infinity amount of time that is the expected result.

			As such if you take the number of attacks and divide the number by six you have the expected out come for each results on a d6. As an example, if you had 60 attacks you'd expect 10 1's, 10 2's, 10 3's, 10 4's, 10, 5's and 10 6's. From there you can keep eye balling results as each gets winnowed down.

			For a more expansive example we will have 60 conscripts under the effects of First rank fire, second rank fire, shoot lasguns at rapid fire range at 20 chaos space marines, for a total of 80 shots. We will also have them be caidan's for reroll to one's and Hammer of the Emperor will be active so size's will auto wound.

			#Divide number of attacks by 6, in this case 80/6=13.33 round down to 13. So we can expect roughly 13 of each results. Conscripts hit on 5 and 6 so 13 results are hits and 13 are hits that auto wound due to hammer of the emperor. Additionally 13 of those misses were on a 1 so those are re rolled. repeating the step, 13/6=2.16 round down to 2. So 2 more of those to hit's are 5's and 2 more are sixes. (since again we are expecting 1 of each kind of result on a d6)
			#Divide number of hits by 6. In this case we have 15 hits that need to wound, and 15 that have already wounded. 15/6=2.5 round up to 3. lasgun's wound on a 5+ so we can expect 6 wounds as the 3 fives and 3 sixes we can expect will wound meaning adding the 15 that have already wounded thanks to Hammer of the Emperor we have 21 wounds.
			# Divide the number of wounds by 6 again. 21/6=3.5 round up to 4. Since marine's fail on a 1 or 2 that's 8 unsaved wounds.
			# If there is an ability that let's them ignore wounds then take the number of failed wounds and again divide by six to give you the number of expected results for each number, then take the number of brackets it ignores wound by that's you result. So back to the chaos marines 8/6=1.33 round down so if they ignore wounds on a 5+, then 2 of them ignore the wounds.

			This method is quick and dirty with the final number being far less precise then the 216 method. However rather then telling you the odds of any individual lasgun shot killing a marine, this method can give you the rough expected out come of a lot individual attacks happening at once. It fails however if at any point in the process you need to divide by less then 6, since again we divide by six to let you know how many of each result we can roughly expect to happen. So it can't tell you the odds of a single lascannon wounding or hitting but works better for large volume's of attacks.

	=Why you would want to do this=		=Why you would want to do this=

1d4chan>StuffingNuffing: update ext. links - we're in 9E now

2021-07-06T17:20:32Z

update ext. links - we're in 9E now

← Older revision		Revision as of 17:20, 6 July 2021
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	=External Links=		=External Links=
	*[https://www.unitcrunch.com UnitCrunch (40k 9th Edition MathHammer web app)]		*[https://www.unitcrunch.com UnitCrunch (40k 9th Edition MathHammer web app)]
	*[https://www.mathhammer8thed.com/]
	[[Category:Warhammer_40,000]]		[[Category:Warhammer_40,000]]

77.243.177.54 at 11:57, 24 January 2021

2021-01-24T11:57:39Z

← Older revision		Revision as of 11:57, 24 January 2021
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	=External Links=		=External Links=
	*[https://www.unitcrunch.com UnitCrunch (40k MathHammer web app)]		*[https://www.unitcrunch.com UnitCrunch (40k 9th Edition MathHammer web app)]
	*[https://www.mathhammer8thed.com/]		*[https://www.mathhammer8thed.com/]
	[[Category:Warhammer_40,000]]		[[Category:Warhammer_40,000]]

1d4chan>Cronborg: /* Overview */

2020-11-24T18:07:31Z

Overview

← Older revision		Revision as of 18:07, 24 November 2020
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	'''MathHammer''' at its most basic refers to the application of statistics to judge army composition decisions or determining how many attacks of a given type you would need to apply to a unit to kill it on average or determining the likelihood of killing a unit given that you put a certain number of attacks into that unit.		'''MathHammer''' at its most basic refers to the application of statistics to judge army composition decisions or determining how many attacks of a given type you would need to apply to a unit to kill it on average or determining the likelihood of killing a unit given that you put a certain number of attacks into that unit.

	As the name implies it's frequently used in Warhammer 40k, but can apply to any chance-based game.		As the name implies it's frequently used in Warhammer 40k, but can apply to any chance-based game. The type of math we employ in Warhammer 40K is also known as Bayesian Probability.

	=Causing an Unsaved Wound, the 216 method=		=Causing an Unsaved Wound, the 216 method=