DC Probability Calculator
Classic D20 vs Advantage Die Probability
This uses classic level progression in d20, which provides a +1 for every Character Level to the d20 roll to improve its highest roll value. It then compares that to the Character's Advantage Die level progression based on Character Level. This is notably different compared to plain Advantage Die Level progression because not every time a Character Levels up do they improve their Advantage Die.
Table: Classic d20 Probability
| # |
Dice |
DC 5 |
DC 10 |
DC 15 |
DC 20 |
DC 25 |
DC 30 |
DC 35 |
DC 40 |
DC 45
|
| 0 |
d20 |
80.00% |
55.00% |
30.00% |
5.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 1 |
d20+1 |
85.00% |
60.00% |
35.00% |
10.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 2 |
d20+2 |
90.00% |
65.00% |
40.00% |
15.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 3 |
d20+3 |
95.00% |
70.00% |
45.00% |
20.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 4 |
d20+4 |
100.00% |
75.00% |
50.00% |
25.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 5 |
d20+5 |
100.00% |
80.00% |
55.00% |
30.00% |
5.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 6 |
d20+6 |
100.00% |
85.00% |
60.00% |
35.00% |
10.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 7 |
d20+7 |
100.00% |
90.00% |
65.00% |
40.00% |
15.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 8 |
d20+8 |
100.00% |
95.00% |
70.00% |
45.00% |
20.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 9 |
d20+9 |
100.00% |
100.00% |
75.00% |
50.00% |
25.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 10 |
d20+10 |
100.00% |
100.00% |
80.00% |
55.00% |
30.00% |
5.00% |
0.00% |
0.00% |
0.00%
|
| 11 |
d20+11 |
100.00% |
100.00% |
85.00% |
60.00% |
35.00% |
10.00% |
0.00% |
0.00% |
0.00%
|
| 12 |
d20+12 |
100.00% |
100.00% |
90.00% |
65.00% |
40.00% |
15.00% |
0.00% |
0.00% |
0.00%
|
| 13 |
d20+13 |
100.00% |
100.00% |
95.00% |
70.00% |
45.00% |
20.00% |
0.00% |
0.00% |
0.00%
|
| 14 |
d20+14 |
100.00% |
100.00% |
100.00% |
75.00% |
50.00% |
25.00% |
0.00% |
0.00% |
0.00%
|
| 15 |
d20+15 |
100.00% |
100.00% |
100.00% |
80.00% |
55.00% |
30.00% |
5.00% |
0.00% |
0.00%
|
| 16 |
d20+16 |
100.00% |
100.00% |
100.00% |
85.00% |
60.00% |
35.00% |
10.00% |
0.00% |
0.00%
|
| 17 |
d20+17 |
100.00% |
100.00% |
100.00% |
90.00% |
65.00% |
40.00% |
15.00% |
0.00% |
0.00%
|
| 18 |
d20+18 |
100.00% |
100.00% |
100.00% |
95.00% |
70.00% |
45.00% |
20.00% |
0.00% |
0.00%
|
| 19 |
d20+19 |
100.00% |
100.00% |
100.00% |
100.00% |
75.00% |
50.00% |
25.00% |
0.00% |
0.00%
|
| 20 |
d20+20 |
100.00% |
100.00% |
100.00% |
100.00% |
80.00% |
55.00% |
30.00% |
5.00% |
0.00%
|
Table: Advantage Die per Character Level Probabilities
| # |
Dice |
DC 5 |
DC 10 |
DC 15 |
DC 20 |
DC 25 |
DC 30 |
DC 35 |
DC 40 |
DC 45
|
| 0 |
d20 |
80.00% |
55.00% |
30.00% |
5.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 1 |
d20+d2+1 |
92.50% |
67.50% |
42.50% |
17.50% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 2 |
d20+2d2+1 |
98.75% |
75.00% |
50.00% |
25.00% |
1.25% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 3 |
d20+2d2+2 |
100.00% |
80.00% |
55.00% |
30.00% |
5.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 4 |
d20+d4+d2+2 |
100.00% |
85.00% |
60.00% |
35.00% |
10.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 5 |
d20+d4+d2+2 |
100.00% |
85.00% |
60.00% |
35.00% |
10.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 6 |
d20+2d4+2 |
100.00% |
89.69% |
65.00% |
40.00% |
15.00% |
0.31% |
0.00% |
0.00% |
0.00%
|
| 7 |
d20+2d4+3 |
100.00% |
93.75% |
70.00% |
45.00% |
20.00% |
1.25% |
0.00% |
0.00% |
0.00%
|
| 8 |
d20+d6+d4+3 |
100.00% |
95.83% |
75.00% |
50.00% |
25.00% |
4.17% |
0.00% |
0.00% |
0.00%
|
| 9 |
d20+2d6+3 |
100.00% |
97.22% |
79.86% |
55.00% |
30.00% |
7.78% |
0.14% |
0.00% |
0.00%
|
| 10 |
d20+2d6+4 |
100.00% |
98.61% |
84.44% |
60.00% |
35.00% |
11.39% |
0.56% |
0.00% |
0.00%
|
| 11 |
d20+2d6+4 |
100.00% |
98.61% |
84.44% |
60.00% |
35.00% |
11.39% |
0.56% |
0.00% |
0.00%
|
| 12 |
d20+d8+d6+4 |
100.00% |
98.96% |
87.92% |
65.00% |
40.00% |
16.04% |
2.08% |
0.00% |
0.00%
|
| 13 |
d20+2d8+4 |
100.00% |
99.22% |
90.62% |
69.92% |
45.00% |
20.78% |
4.38% |
0.08% |
0.00%
|
| 14 |
d20+2d8+5 |
100.00% |
99.69% |
93.44% |
74.69% |
50.00% |
25.31% |
6.56% |
0.31% |
0.00%
|
| 15 |
d20+d10+d8+5 |
100.00% |
99.75% |
94.75% |
78.75% |
55.00% |
30.25% |
10.25% |
1.25% |
0.00%
|
| 16 |
d20+2d10+5 |
100.00% |
99.80% |
95.80% |
82.20% |
59.95% |
35.20% |
14.20% |
2.80% |
0.05%
|
| 17 |
d20+2d10+5 |
100.00% |
99.80% |
95.80% |
82.20% |
59.95% |
35.20% |
14.20% |
2.80% |
0.05%
|
| 18 |
d20+2d10+6 |
100.00% |
99.95% |
97.20% |
85.80% |
64.80% |
40.05% |
17.80% |
4.20% |
0.20%
|
| 19 |
d20+d12+d10+6 |
100.00% |
99.96% |
97.67% |
88.13% |
69.17% |
45.04% |
22.33% |
6.88% |
0.83%
|
| 20 |
d20+2d12+6 |
100.00% |
99.97% |
98.06% |
90.07% |
73.06% |
50.00% |
26.94% |
9.93% |
1.94%
|
Skill Die Rank Probability
Table: Skill Die Rank Probabilities
| # |
Dice |
DC 5 |
DC 10 |
DC 15 |
DC 20 |
DC 25 |
DC 30 |
DC 35 |
DC 40 |
DC 45
|
| 1 |
d20 |
80.00% |
55.00% |
30.00% |
5.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 2 |
d20+d2 |
87.50% |
62.50% |
37.50% |
12.50% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 3 |
d20+2d2 |
95.00% |
70.00% |
45.00% |
20.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 4 |
d20+2d2+1 |
98.75% |
75.00% |
50.00% |
25.00% |
1.25% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 5 |
d20+d4+d2+1 |
99.38% |
80.00% |
55.00% |
30.00% |
5.63% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 6 |
d20+2d4+1 |
99.69% |
85.00% |
60.00% |
35.00% |
10.31% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 7 |
d20+2d4+2 |
100.00% |
89.69% |
65.00% |
40.00% |
15.00% |
0.31% |
0.00% |
0.00% |
0.00%
|
| 8 |
d20+d6+d4+2 |
100.00% |
92.92% |
70.00% |
45.00% |
20.00% |
2.08% |
0.00% |
0.00% |
0.00%
|
| 9 |
d20+2d6+2 |
100.00% |
95.14% |
75.00% |
50.00% |
25.00% |
4.86% |
0.00% |
0.00% |
0.00%
|
| 10 |
d20+2d6+3 |
100.00% |
97.22% |
79.86% |
55.00% |
30.00% |
7.78% |
0.14% |
0.00% |
0.00%
|
| 11 |
d20+d8+d6+3 |
100.00% |
97.92% |
83.96% |
60.00% |
35.00% |
12.08% |
1.04% |
0.00% |
0.00%
|
| 12 |
d20+2d8+3 |
100.00% |
98.44% |
87.27% |
65.00% |
40.00% |
16.56% |
2.73% |
0.00% |
0.00%
|
| 13 |
d20+2d8+4 |
100.00% |
99.22% |
90.62% |
69.92% |
45.00% |
20.78% |
4.38% |
0.08% |
0.00%
|
| 14 |
d20+d10+d8+4 |
100.00% |
99.38% |
92.50% |
74.38% |
50.00% |
25.63% |
7.50% |
0.63% |
0.00%
|
| 15 |
d20+2d10+4 |
100.00% |
99.50% |
94.00% |
78.25% |
55.00% |
30.50% |
11.00% |
1.75% |
0.00%
|
| 16 |
d20+2d10+5 |
100.00% |
99.80% |
95.80% |
82.20% |
59.95% |
35.20% |
14.20% |
2.80% |
0.05%
|
| 17 |
d20+d12+d10+5 |
100.00% |
99.83% |
96.50% |
85.00% |
64.58% |
40.17% |
18.50% |
5.00% |
0.42%
|
| 18 |
d20+2d12+5 |
100.00% |
99.86% |
97.08% |
87.36% |
68.78% |
45.14% |
22.92% |
7.64% |
1.22%
|
| 19 |
d20+2d12+6 |
100.00% |
99.97% |
98.06% |
90.07% |
73.06% |
50.00% |
26.94% |
9.93% |
1.94%
|
| 20 |
d20+2d6+d12+6 |
100.00% |
100.00% |
99.19% |
92.53% |
76.04% |
52.49% |
28.31% |
9.97% |
1.46%
|
| 21 |
d20+2d6+2d6+6 |
100.00% |
100.00% |
99.78% |
95.36% |
79.03% |
55.00% |
30.22% |
9.64% |
0.97%
|
Advantage Die Dice Level Probability
Table: Advantage Die Dice Levels Probabilities
| # |
Dice |
DC 5 |
DC 10 |
DC 15 |
DC 20 |
DC 25 |
DC 30 |
DC 35 |
DC 40 |
DC 45
|
| 0 |
d20 |
80.00% |
55.00% |
30.00% |
5.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 1 |
d20+d2+1 |
92.50% |
67.50% |
42.50% |
17.50% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 2 |
d20+2d2+1 |
98.75% |
75.00% |
50.00% |
25.00% |
1.25% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 3 |
d20+2d2+2 |
100.00% |
80.00% |
55.00% |
30.00% |
5.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 4 |
d20+d4+d2+2 |
100.00% |
85.00% |
60.00% |
35.00% |
10.00% |
0.00% |
0.00% |
0.00% |
0.00%
|
| 5 |
d20+2d4+2 |
100.00% |
89.69% |
65.00% |
40.00% |
15.00% |
0.31% |
0.00% |
0.00% |
0.00%
|
| 6 |
d20+2d4+3 |
100.00% |
93.75% |
70.00% |
45.00% |
20.00% |
1.25% |
0.00% |
0.00% |
0.00%
|
| 7 |
d20+d6+d4+3 |
100.00% |
95.83% |
75.00% |
50.00% |
25.00% |
4.17% |
0.00% |
0.00% |
0.00%
|
| 8 |
d20+2d6+3 |
100.00% |
97.22% |
79.86% |
55.00% |
30.00% |
7.78% |
0.14% |
0.00% |
0.00%
|
| 9 |
d20+2d6+4 |
100.00% |
98.61% |
84.44% |
60.00% |
35.00% |
11.39% |
0.56% |
0.00% |
0.00%
|
| 10 |
d20+d8+d6+4 |
100.00% |
98.96% |
87.92% |
65.00% |
40.00% |
16.04% |
2.08% |
0.00% |
0.00%
|
| 11 |
d20+2d8+4 |
100.00% |
99.22% |
90.62% |
69.92% |
45.00% |
20.78% |
4.38% |
0.08% |
0.00%
|
| 12 |
d20+2d8+5 |
100.00% |
99.69% |
93.44% |
74.69% |
50.00% |
25.31% |
6.56% |
0.31% |
0.00%
|
| 13 |
d20+d10+d8+5 |
100.00% |
99.75% |
94.75% |
78.75% |
55.00% |
30.25% |
10.25% |
1.25% |
0.00%
|
| 14 |
d20+2d10+5 |
100.00% |
99.80% |
95.80% |
82.20% |
59.95% |
35.20% |
14.20% |
2.80% |
0.05%
|
| 15 |
d20+2d10+6 |
100.00% |
99.95% |
97.20% |
85.80% |
64.80% |
40.05% |
17.80% |
4.20% |
0.20%
|
| 16 |
d20+d12+d10+6 |
100.00% |
99.96% |
97.67% |
88.13% |
69.17% |
45.04% |
22.33% |
6.88% |
0.83%
|
| 17 |
d20+2d12+6 |
100.00% |
99.97% |
98.06% |
90.07% |
73.06% |
50.00% |
26.94% |
9.93% |
1.94%
|
| 18 |
d20+2d12+7 |
100.00% |
100.00% |
98.78% |
92.36% |
77.08% |
54.86% |
31.22% |
12.64% |
2.92%
|
| 19 |
d20+2d6*+d12*+7 |
100.00% |
100.00% |
99.59% |
95.02% |
82.46% |
62.81% |
40.05% |
20.05% |
7.65%
|
| 20 |
d20+2d6*+2d6*+7 |
100.00% |
100.00% |
99.92% |
97.25% |
86.70% |
68.03% |
44.12% |
21.81% |
7.36%
|
