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Spellcasting statistics

The following tables provide the statistical chances to cast a spell sucessfully given a number of conditions (how many dice the defender is rolling). This data was tabulated by calculating every possiable result and determining success or failure (via a computer of course). The data has gone through about three or four revisions so it should be pretty accurate, however I will admit that I am not perfect and could have messed something up.
Probabilities for succesful Cast on 2D6
Difficulty NumberNot Dispelled Attempt
Dispell with
2D6		 Attempt
Dispell with
3D6		 Attempt
Dispell with
4D6		 Attempt
Dispell with
5D6		 Attempt
Dispell with
6D6
4+ 91.6% 55.0% 24.3% 16.4% 20.3% 26.1%
5+ 83.3% 53.7% 23.7% 15.3% 18.6% 23.9%
6+ 72.2% 50.6% 22.7% 13.9% 16.4% 21.0%
7+ 58.3% 44.8% 21.1% 12.0% 13.7% 17.4%
8+ 41.6% 35.1% 18.1% 9.83% 10.5% 13.0%
9+ 27.7% 25.0% 14.5% 7.82% 7.77% 9.35%
10+ 16.6% 15.8% 10.4% 5.97% 5.58% 6.43%
11+ 8.33% 8.17% 6.25% 4.26% 3.92% 4.24%
12+ 2.77% 2.77% 2.77% 2.77% 2.77% 2.77%
chance for Miscast (1,1)2.77%
chance for Iressistable Force (6,6)2.77%
Probabilities for succesful Cast on 3D6
Difficulty NumberNot Dispelled Attempt
Dispell with
2D6		 Attempt
Dispell with
3D6		 Attempt
Dispell with
4D6		 Attempt
Dispell with
5D6		 Attempt
Dispell with
6D6
4+ 92.5% 80.9% 54.0% 31.8% 26.3% 30.0%
5+ 92.5% 80.9% 54.0% 31.8% 26.3% 30.0%
6+ 91.2% 80.5% 53.9% 31.6% 26.1% 29.6%
7+ 87.9% 79.1% 53.5% 31.2% 25.4% 28.7%
8+ 82.4% 75.9% 52.5% 30.4% 24.3% 27.3%
9+ 74.0% 69.9% 50.3% 29.2% 22.7% 25.1%
10+ 62.5% 60.2% 46.0% 27.3% 20.4% 22.0%
11+ 50.0% 48.8% 39.7% 24.7% 17.9% 18.8%
12+ 37.5% 36.6% 31.9% 21.4% 15.3% 15.5%
chance for Miscast (1,1)7.40%
chance for Iressistable Force (6,6)7.40%
Probabilities for succesful Cast on 4D6
Difficulty NumberNot Dispelled Attempt
Dispell with
2D6		 Attempt
Dispell with
3D6		 Attempt
Dispell with
4D6		 Attempt
Dispell with
5D6		 Attempt
Dispell with
6D6
4+ 86.8% 83.8% 72.5% 52.7% 37.6% 34.3%
5+ 86.8% 83.8% 72.5% 52.7% 37.6% 34.3%
6+ 86.8% 83.8% 72.5% 52.7% 37.6% 34.3%
7+ 86.8% 83.8% 72.5% 52.7% 37.6% 34.3%
8+ 86.4% 83.6% 72.5% 52.7% 37.6% 34.2%
9+ 85.4% 82.9% 72.2% 52.5% 37.4% 33.9%
10+ 83.3% 81.1% 71.4% 52.2% 37.0% 33.3%
11+ 79.4% 77.6% 69.5% 51.4% 36.2% 32.3%
12+ 73.3% 71.6% 65.6% 49.7% 34.9% 30.7%
chance for Miscast (1,1)13.1%
chance for Iressistable Force (6,6)12.7%
Probabilities for succesful Cast on 5D6
Difficulty NumberNot Dispelled Attempt
Dispell with
2D6		 Attempt
Dispell with
3D6		 Attempt
Dispell with
4D6		 Attempt
Dispell with
5D6		 Attempt
Dispell with
6D6
4+ 80.3% 78.6% 74.5% 65.1% 51.5% 41.9%
5+ 80.3% 78.6% 74.5% 65.1% 51.5% 41.9%
6+ 80.3% 78.6% 74.5% 65.1% 51.5% 41.9%
7+ 80.3% 78.6% 74.5% 65.1% 51.5% 41.9%
8+ 80.3% 78.6% 74.5% 65.1% 51.5% 41.9%
9+ 80.3% 78.6% 74.5% 65.1% 51.5% 41.9%
10+ 80.3% 78.5% 74.5% 65.1% 51.5% 41.9%
11+ 80.0% 78.3% 74.3% 65.1% 51.4% 41.8%
12+ 79.3% 77.6% 73.9% 64.9% 51.3% 41.7%
chance for Miscast (1,1)19.6%
chance for Iressistable Force (6,6)17.8%
Probabilities for succesful Cast on 6D6
Difficulty NumberNot Dispelled Attempt
Dispell with
2D6		 Attempt
Dispell with
3D6		 Attempt
Dispell with
4D6		 Attempt
Dispell with
5D6		 Attempt
Dispell with
6D6
4+ 73.6% 72.2% 69.7% 65.9% 58.9%
5+ 73.6% 72.2% 69.7% 65.9% 58.9%
6+ 73.6% 72.2% 69.7% 65.9% 58.9%
7+ 73.6% 72.2% 69.7% 65.9% 58.9%
8+ 73.6% 72.2% 69.7% 65.9% 58.9%
9+ 73.6% 72.2% 69.7% 65.9% 58.9%
10+ 73.6% 72.2% 69.7% 65.9% 58.9%
11+ 73.6% 72.2% 69.7% 65.9% 58.9%
12+ 73.6% 72.2% 69.7% 65.9% 58.9%
chance for Miscast (1,1)26.3%
chance for Iressistable Force (6,6)22.1%

Written by: Matthew Zeher