# dice rolls (calculated)

## 2 roll(s)

sum prob
2 $\frac{1}{36}$
3 $\frac{1}{18}$
4 $\frac{1}{12}$
5 $\frac{1}{9}$
6 $\frac{5}{36}$
7 $\frac{1}{6}$
8 $\frac{5}{36}$
9 $\frac{1}{9}$
10 $\frac{1}{12}$
11 $\frac{1}{18}$
12 $\frac{1}{36}$

## 3 roll(s)

sum prob
3 $\frac{1}{216}$
4 $\frac{1}{72}$
5 $\frac{1}{36}$
6 $\frac{5}{108}$
7 $\frac{5}{72}$
8 $\frac{7}{72}$
9 $\frac{25}{216}$
10 $\frac{1}{8}$
11 $\frac{1}{8}$
12 $\frac{25}{216}$
13 $\frac{7}{72}$
14 $\frac{5}{72}$
15 $\frac{5}{108}$
16 $\frac{1}{36}$
17 $\frac{1}{72}$
18 $\frac{1}{216}$

## 4 roll(s)

sum prob
4 $\frac{1}{1296}$
5 $\frac{1}{324}$
6 $\frac{5}{648}$
7 $\frac{5}{324}$
8 $\frac{35}{1296}$
9 $\frac{7}{162}$
10 $\frac{5}{81}$
11 $\frac{13}{162}$
12 $\frac{125}{1296}$
13 $\frac{35}{324}$
14 $\frac{73}{648}$
15 $\frac{35}{324}$
16 $\frac{125}{1296}$
17 $\frac{13}{162}$
18 $\frac{5}{81}$
19 $\frac{7}{162}$
20 $\frac{35}{1296}$
21 $\frac{5}{324}$
22 $\frac{5}{648}$
23 $\frac{1}{324}$
24 $\frac{1}{1296}$

## 5 roll(s)

sum prob
5 $\frac{1}{7776}$
6 $\frac{5}{7776}$
7 $\frac{5}{2592}$
8 $\frac{35}{7776}$
9 $\frac{35}{3888}$
10 $\frac{7}{432}$
11 $\frac{205}{7776}$
12 $\frac{305}{7776}$
13 $\frac{35}{648}$
14 $\frac{5}{72}$
15 $\frac{217}{2592}$
16 $\frac{245}{2592}$
17 $\frac{65}{648}$
18 $\frac{65}{648}$
19 $\frac{245}{2592}$
20 $\frac{217}{2592}$
21 $\frac{5}{72}$
22 $\frac{35}{648}$
23 $\frac{305}{7776}$
24 $\frac{205}{7776}$
25 $\frac{7}{432}$
26 $\frac{35}{3888}$
27 $\frac{35}{7776}$
28 $\frac{5}{2592}$
29 $\frac{5}{7776}$
30 $\frac{1}{7776}$

## 6 roll(s)

sum prob
6 $\frac{1}{46656}$
7 $\frac{1}{7776}$
8 $\frac{7}{15552}$
9 $\frac{7}{5832}$
10 $\frac{7}{2592}$
11 $\frac{7}{1296}$
12 $\frac{19}{1944}$
13 $\frac{7}{432}$
14 $\frac{43}{1728}$
15 $\frac{833}{23328}$
16 $\frac{749}{15552}$
17 $\frac{119}{1944}$
18 $\frac{3431}{46656}$
19 $\frac{217}{2592}$
20 $\frac{469}{5184}$
21 $\frac{361}{3888}$
22 $\frac{469}{5184}$
23 $\frac{217}{2592}$
24 $\frac{3431}{46656}$
25 $\frac{119}{1944}$
26 $\frac{749}{15552}$
27 $\frac{833}{23328}$
28 $\frac{43}{1728}$
29 $\frac{7}{432}$
30 $\frac{19}{1944}$
31 $\frac{7}{1296}$
32 $\frac{7}{2592}$
33 $\frac{7}{5832}$
34 $\frac{7}{15552}$
35 $\frac{1}{7776}$
36 $\frac{1}{46656}$

## 7 roll(s)

sum prob
7 $\frac{1}{279936}$
8 $\frac{7}{279936}$
9 $\frac{7}{69984}$
10 $\frac{7}{23328}$
11 $\frac{35}{46656}$
12 $\frac{77}{46656}$
13 $\frac{917}{279936}$
14 $\frac{1667}{279936}$
15 $\frac{2807}{279936}$
16 $\frac{4417}{279936}$
17 $\frac{3269}{139968}$
18 $\frac{4571}{139968}$
19 $\frac{4039}{93312}$
20 $\frac{5089}{93312}$
21 $\frac{6109}{93312}$
22 $\frac{20993}{279936}$
23 $\frac{22967}{279936}$
24 $\frac{24017}{279936}$
25 $\frac{24017}{279936}$
26 $\frac{22967}{279936}$
27 $\frac{20993}{279936}$
28 $\frac{6109}{93312}$
29 $\frac{5089}{93312}$
30 $\frac{4039}{93312}$
31 $\frac{4571}{139968}$
32 $\frac{3269}{139968}$
33 $\frac{4417}{279936}$
34 $\frac{2807}{279936}$
35 $\frac{1667}{279936}$
36 $\frac{917}{279936}$
37 $\frac{77}{46656}$
38 $\frac{35}{46656}$
39 $\frac{7}{23328}$
40 $\frac{7}{69984}$
41 $\frac{7}{279936}$
42 $\frac{1}{279936}$

## 8 roll(s)

sum prob
8 $\frac{1}{1679616}$
9 $\frac{1}{209952}$
10 $\frac{1}{46656}$
11 $\frac{5}{69984}$
12 $\frac{55}{279936}$
13 $\frac{11}{23328}$
14 $\frac{427}{419904}$
15 $\frac{421}{209952}$
16 $\frac{683}{186624}$
17 $\frac{655}{104976}$
18 $\frac{2101}{209952}$
19 $\frac{59}{3888}$
20 $\frac{2293}{104976}$
21 $\frac{3143}{104976}$
22 $\frac{457}{11664}$
23 $\frac{5149}{104976}$
24 $\frac{98813}{1679616}$
25 $\frac{1579}{23328}$
26 $\frac{31397}{419904}$
27 $\frac{16661}{209952}$
28 $\frac{7553}{93312}$
29 $\frac{16661}{209952}$
30 $\frac{31397}{419904}$
31 $\frac{1579}{23328}$
32 $\frac{98813}{1679616}$
33 $\frac{5149}{104976}$
34 $\frac{457}{11664}$
35 $\frac{3143}{104976}$
36 $\frac{2293}{104976}$
37 $\frac{59}{3888}$
38 $\frac{2101}{209952}$
39 $\frac{655}{104976}$
40 $\frac{683}{186624}$
41 $\frac{421}{209952}$
42 $\frac{427}{419904}$
43 $\frac{11}{23328}$
44 $\frac{55}{279936}$
45 $\frac{5}{69984}$
46 $\frac{1}{46656}$
47 $\frac{1}{209952}$
48 $\frac{1}{1679616}$

## 9 roll(s)

sum prob
9 $\frac{1}{10077696}$
10 $\frac{1}{1119744}$
11 $\frac{5}{1119744}$
12 $\frac{55}{3359232}$
13 $\frac{55}{1119744}$
14 $\frac{143}{1119744}$
15 $\frac{499}{1679616}$
16 $\frac{353}{559872}$
17 $\frac{1385}{1119744}$
18 $\frac{22825}{10077696}$
19 $\frac{4367}{1119744}$
20 $\frac{7111}{1119744}$
21 $\frac{32993}{3359232}$
22 $\frac{16211}{1119744}$
23 $\frac{2855}{139968}$
24 $\frac{11561}{419904}$
25 $\frac{39941}{1119744}$
26 $\frac{49741}{1119744}$
27 $\frac{536569}{10077696}$
28 $\frac{7649}{124416}$
29 $\frac{8515}{124416}$
30 $\frac{82291}{1119744}$
31 $\frac{1579}{20736}$
32 $\frac{1579}{20736}$
33 $\frac{82291}{1119744}$
34 $\frac{8515}{124416}$
35 $\frac{7649}{124416}$
36 $\frac{536569}{10077696}$
37 $\frac{49741}{1119744}$
38 $\frac{39941}{1119744}$
39 $\frac{11561}{419904}$
40 $\frac{2855}{139968}$
41 $\frac{16211}{1119744}$
42 $\frac{32993}{3359232}$
43 $\frac{7111}{1119744}$
44 $\frac{4367}{1119744}$
45 $\frac{22825}{10077696}$
46 $\frac{1385}{1119744}$
47 $\frac{353}{559872}$
48 $\frac{499}{1679616}$
49 $\frac{143}{1119744}$
50 $\frac{55}{1119744}$
51 $\frac{55}{3359232}$
52 $\frac{5}{1119744}$
53 $\frac{1}{1119744}$
54 $\frac{1}{10077696}$

## 10 roll(s)

sum prob
10 $\frac{1}{60466176}$
11 $\frac{5}{30233088}$
12 $\frac{55}{60466176}$
13 $\frac{55}{15116544}$
14 $\frac{715}{60466176}$
15 $\frac{1001}{30233088}$
16 $\frac{185}{2239488}$
17 $\frac{35}{186624}$
18 $\frac{55}{139968}$
19 $\frac{11605}{15116544}$
20 $\frac{21307}{15116544}$
21 $\frac{36985}{15116544}$
22 $\frac{243925}{60466176}$
23 $\frac{191735}{30233088}$
24 $\frac{576565}{60466176}$
25 $\frac{23089}{1679616}$
26 $\frac{63965}{3359232}$
27 $\frac{2665}{104976}$
28 $\frac{986315}{30233088}$
29 $\frac{611575}{15116544}$
30 $\frac{2930455}{60466176}$
31 $\frac{1696805}{30233088}$
32 $\frac{3801535}{60466176}$
33 $\frac{1030315}{15116544}$
34 $\frac{240295}{3359232}$
35 $\frac{7631}{104976}$
36 $\frac{240295}{3359232}$
37 $\frac{1030315}{15116544}$
38 $\frac{3801535}{60466176}$
39 $\frac{1696805}{30233088}$
40 $\frac{2930455}{60466176}$
41 $\frac{611575}{15116544}$
42 $\frac{986315}{30233088}$
43 $\frac{2665}{104976}$
44 $\frac{63965}{3359232}$
45 $\frac{23089}{1679616}$
46 $\frac{576565}{60466176}$
47 $\frac{191735}{30233088}$
48 $\frac{243925}{60466176}$
49 $\frac{36985}{15116544}$
50 $\frac{21307}{15116544}$
51 $\frac{11605}{15116544}$
52 $\frac{55}{139968}$
53 $\frac{35}{186624}$
54 $\frac{185}{2239488}$
55 $\frac{1001}{30233088}$
56 $\frac{715}{60466176}$
57 $\frac{55}{15116544}$
58 $\frac{55}{60466176}$
59 $\frac{5}{30233088}$
60 $\frac{1}{60466176}$