First a recap from my post on Ranking 40k Buffs:
https://40kgamejournal.blogspot.com/2019/03/ranking-buffs.html
"Unmodified rolls of 6+ to hit produce 2 hits instead of 1" - The formula is, number of faces that succeed + 1 divided by the number of faces that succeed. So BS3 has 4 successful faces on the die; the buff is 5/4. BS4 has a buff of 4/3.
Unmodified rolls of 6+ to hit produce 2 hits instead of 1, by BS:
10 shots * 4/6 odds to hit * 4/6 odds to wound * 1/2 failing armor saves.
Now with -1 to hit, you reverse this logic:
So can you just use the modifier of the "unmodifed 6 = 2 hits?" Well, no. You need to count the number of faces that succeed for the purposes the 6+=2hits incorporating the hit modifiers. So for a BS3 -1 to hit, they have 3 successful sides, and get a modifier total of 4/3.
10 shots * 4/6 odds to hit * 4/6 odds to wound * 1/2 failing armor saves. * 3/4 from -1 to hit * 4/3 from the 6+=2hits stratagem
This also applies to +1 to hit, and so on. +1 to hit on BS 3 already confers a boost of 5/4 over normal production. A 6+=2hits rules confers an additional 6/5 modifier.
https://40kgamejournal.blogspot.com/2019/03/ranking-buffs.html
"Unmodified rolls of 6+ to hit produce 2 hits instead of 1" - The formula is, number of faces that succeed + 1 divided by the number of faces that succeed. So BS3 has 4 successful faces on the die; the buff is 5/4. BS4 has a buff of 4/3.
Unmodified rolls of 6+ to hit produce 2 hits instead of 1, by BS:
- BS6: 2/1 (2.00)
- BS5: 3/2 (1.5)
- BS4: 4/3 (1.6666)
- BS3: 5/4 (1.25)
- BS2: 6/5 (1.2)
10 shots * 4/6 odds to hit * 4/6 odds to wound * 1/2 failing armor saves.
Now with -1 to hit, you reverse this logic:
- +1 to the Die Roll: count the normal number of faces that succeed; divide the normal sum of successes by that count; multiply that by the new number of faces that succeed. Example: Str 4 VS T3, 4 faces normally wound, now 5 faces wound, the multiplier is 5/4.
So can you just use the modifier of the "unmodifed 6 = 2 hits?" Well, no. You need to count the number of faces that succeed for the purposes the 6+=2hits incorporating the hit modifiers. So for a BS3 -1 to hit, they have 3 successful sides, and get a modifier total of 4/3.
10 shots * 4/6 odds to hit * 4/6 odds to wound * 1/2 failing armor saves. * 3/4 from -1 to hit * 4/3 from the 6+=2hits stratagem
This also applies to +1 to hit, and so on. +1 to hit on BS 3 already confers a boost of 5/4 over normal production. A 6+=2hits rules confers an additional 6/5 modifier.
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