 |
This table shows the approximate chances of botch/failure/success by degree on multiple d10 throws, for the benefit of the numbercrunching munchkin, calculated for between 1 and 9 dice. Also patterned are the rates at difficulty 7 through 10, showing the bizarre results arising from the White Wolf system when one of these difficulties is thrown in by a Storyteller to reflect a difficult task. Note the increasing odds of a botch near the beginning of the curve. |
DIFFICULTY 6 (Standard)
|
Number of Dice
|
Botch
|
Fail
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
Most Likely Result
|
|
1
|
10%
|
40%
|
50%
|
1
|
||||||||
|
2
|
9%
|
26%
|
40%
|
25%
|
1
|
|||||||
|
3
|
7.6%
|
18.4%
|
31.5%
|
30%
|
12.5%
|
1
|
||||||
|
4
|
6.3%
|
13.6%
|
24.8%
|
29%
|
20%
|
6.3%
|
2
|
|||||
|
5
|
5.2%
|
10.4%
|
19.7%
|
26%
|
23.1%
|
12.5%
|
3.1%
|
2
|
||||
|
6
|
4.3%
|
8.1%
|
15.7%
|
22.5%
|
23.5%
|
16.9%
|
7.5%
|
1.5%
|
3
|
|||
|
7
|
3.5%
|
6.4%
|
12.6%
|
19.2%
|
22.3%
|
19.2%
|
11.6%
|
4.4%
|
0.8%
|
3
|
||
|
8
|
2.9%
|
5.1%
|
10.1%
|
16.2%
|
20.5%
|
20%
|
14.7%
|
7.6%
|
2.5%
|
0.4%
|
3
|
|
|
9
|
2.4%
|
4.1%
|
8.2%
|
13.6%
|
18.3%
|
19.7%
|
16.7%
|
10.6%
|
4.8%
|
1.4%
|
0.2%
|
4
|
DIFFICULTY 7
|
Number of Dice
|
Botch
|
Fail
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
Most Likely Result
|
|
1
|
10%
|
50%
|
40%
|
Fail
|
||||||||
|
2
|
11%
|
33%
|
40%
|
16%
|
1
|
|||||||
|
3
|
10.3%
|
24.5%
|
34.8%
|
24%
|
6.4%
|
1
|
||||||
|
4
|
9.3%
|
19.2%
|
29.6%
|
26.5%
|
12.8%
|
2.6%
|
1
|
|||||
|
5
|
8.2%
|
15.5%
|
25.2%
|
26.4%
|
17.3%
|
6.4%
|
1%
|
2
|
||||
|
6
|
7.3%
|
12.8%
|
21.4%
|
25%
|
19.8%
|
10.2%
|
3.1%
|
0.4%
|
2
|
|||
|
7
|
6.4%
|
10.7%
|
18.3%
|
23%
|
20.9%
|
13.4%
|
5.7%
|
1.4%
|
0.2%
|
3
|
||
|
8
|
5.7%
|
9%
|
15.7%
|
21%
|
21%
|
15.6%
|
8.3%
|
3%
|
0.7%
|
0.07%
|
3
|
|
|
9
|
5%
|
7.6%
|
13.6%
|
18.9%
|
20.4%
|
17%
|
10.7%
|
4.9%
|
1.5%
|
0.3%
|
0.03%
|
3
|
DIFFICULTY 8
|
Number of Dice
|
Botch
|
Fail
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
Most Likely Result
|
|
1
|
10%
|
60%
|
30%
|
Fail
|
||||||||
|
2
|
13%
|
42%
|
36%
|
9%
|
Fail
|
|||||||
|
3
|
13.6%
|
32.4%
|
35.1%
|
16.2%
|
2.7%
|
1
|
||||||
|
4
|
13.3%
|
26.5%
|
32.4%
|
20.5%
|
6.5%
|
0.8%
|
1
|
|||||
|
5
|
12.7%
|
22.4%
|
29.4%
|
22.7%
|
10.1%
|
2.4%
|
0.3%
|
1
|
||||
|
6
|
12%
|
19.3%
|
26.6%
|
23.5%
|
13.1%
|
4.5%
|
0.9%
|
0.1%
|
1
|
|||
|
7
|
11.3%
|
16.9%
|
24.1%
|
23.4%
|
15.4%
|
6.7%
|
1.9%
|
0.3%
|
0.02%
|
1
|
||
|
8
|
10.6%
|
15%
|
21.9%
|
22.8%
|
16.9%
|
8.8%
|
3.2%
|
0.8%
|
0.1%
|
0.007%
|
2
|
|
|
9
|
9.9%
|
13.4%
|
19.9%
|
21.9%
|
17.9%
|
10.7%
|
4.6%
|
1.4%
|
0.3%
|
0.04%
|
0.002%
|
2
|
DIFFICULTY 9
|
Number of Dice
|
Botch
|
Fail
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
Most Likely Result
|
|
1
|
10%
|
70%
|
20%
|
Fail
|
||||||||
|
2
|
15%
|
53%
|
28%
|
4%
|
Fail
|
|||||||
|
3
|
17.5%
|
42.7%
|
30.6%
|
8.4%
|
0.8%
|
Fail
|
||||||
|
4
|
18.7%
|
36%
|
30.8%
|
12.1%
|
2.2%
|
0.2%
|
Fail
|
|||||
|
5
|
19.2%
|
31.4%
|
30%
|
14.8%
|
4%
|
0.6%
|
0.03%
|
Fail
|
||||
|
6
|
19.4%
|
28%
|
28.7%
|
16.8%
|
5.8%
|
1.2%
|
0.1%
|
0.006%
|
1
|
|||
|
7
|
19.3%
|
25.3%
|
27.4%
|
18.1%
|
7.6%
|
2%
|
0.3%
|
0.03%
|
0.001%
|
1
|
||
|
8
|
19.1%
|
23.2%
|
26%
|
18.9%
|
9.1%
|
3%
|
0.6%
|
0.1%
|
0.007%
|
0.0003%
|
1
|
|
|
9
|
18.8%
|
21.4%
|
24.8%
|
19.3%
|
10.4%
|
4%
|
1%
|
0.2%
|
0.02%
|
0.002%
|
0.00005%
|
1
|
DIFFICULTY 10
|
Number of Dice
|
Botch
|
Fail
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
Most Likely Result
|
|
1
|
10%
|
80%
|
10%
|
Fail
|
||||||||
|
2
|
17%
|
66%
|
16%
|
1%
|
Fail
|
|||||||
|
3
|
22%
|
56%
|
19.5%
|
2.4%
|
0.1%
|
Fail
|
||||||
|
4
|
25.7%
|
48.7%
|
21.4%
|
3.9%
|
0.3%
|
0.01%
|
Fail
|
|||||
|
5
|
28.4%
|
43.3%
|
22.4%
|
5.3%
|
0.6%
|
0.04%
|
0.001%
|
Fail
|
||||
|
6
|
30.5%
|
39.1%
|
22.8%
|
6.5%
|
1%
|
0.1%
|
0.005%
|
0.0001%
|
Fail
|
|||
|
7
|
32.1%
|
35.8%
|
22.8%
|
7.6%
|
1.5%
|
0.2%
|
0.01%
|
0.0006%
|
0.00001%
|
Fail
|
||
|
8
|
33.4%
|
33.2%
|
22.6%
|
8.5%
|
2%
|
0.3%
|
0.03%
|
0.002%
|
0.00006%
|
0.000001%
|
Botch
|
|
|
9
|
34.5%
|
31.1%
|
22.2%
|
9.3%
|
2.5%
|
0.4%
|
0.05%
|
0.004%
|
0.0002%
|
0.000007%
|
0.0000001%
|
Botch
|
Also here is the little lame VB.NET proglet I used to come up with these results. If you want to try and improve it (hey, I’ve been using VB for all of 2 days) the source code for Form1.VB is here.
