Damage probabilities

[deusxmachina]

I worked out the probablilities of doing damage against targets with armor 0 to 4. In the charts below the columns represent the percent chance of doing at least the given amount of damage (or more). The rows represent the number of attack dice used.

Against 0 Armor
_ 0 1 2 3 4 5 6 7 8
1 100 70
2 100 91 49
3 100 97 78 34
4 100 99 92 65 24
5 100 99.8 97 84 53 17
6 100 99.93 99 93 74 42 12
7 100 99.98 99.6 97 87 65 33 8
8 100 99.99 99.9 99 94 81 55 26 6

Against 1 Armor
_ 0 1 2 3 4 5 6 7 8
1 100 21
2 100 62 15
3 100 84 48 10
4 100 94 73 36 7
5 100 98 88 62 28 5
6 100 99.2 95 80 52 21 4
7 100 99.7 98 90 72 42 16 2
8 100 99.91 99.2 96 85 63 34 12 2

Against 2 Armor
_ 0 1 2 3 4 5 6 7 8
1 100 6
2 100 29 4
3 100 58 21 3
4 100 79 47 16 2
5 100 91 70 38 12 2
6 100 96 84 60 30 9 1
7 100 98 93 77 51 24 6 1
8 100 99.4 97 88 69 43 19 5 1

Against 3 Armor
_ 0 1 2 3 4 5 6 7 8
1 100 2
2 100 12 1
3 100 33 9 1
4 100 57 25 6 1
5 100 76 47 20 5 0.5
6 100 88 67 39 15 3 0.3
7 100 94 82 59 32 12 2 0.2
8 100 97 91 75 51 26 9 2 0.2

Against 4 Armor
_ 0 1 2 3 4 5 6 7 8
1 100 1
2 100 4 0.4
3 100 16 3 0.3
4 100 35 12 2 0.2
5 100 56 28 9 2 0.1
6 100 74 48 22 7 1 0.1
7 100 86 66 40 18 5 1 0.1
8 100 93 80 58 33 14 4 1 0.05