| Result |
General Formula |
Dice Rolled |
| 2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| 0x |
P(10,n) |
90 90.0% |
720 72.0% |
5,040 50.4% |
30,240 30.24% |
151,200 15.120% |
604,800 6.0480% |
1,814,400 1.81440% |
3,628,800 0.362880% |
3,628,800 0.0362880% |
| 2x |
10 × C(n,2) × P(9,n−2) |
10 10.0% |
270 27.0% |
4,320 43.2% |
50,400 50.40% |
453,600 45.360% |
3,175,200 31.7520% |
16,934,400 16.93440% |
65,318,400 6.531840% |
163,296,000 1.6329600% |
| 3x |
10 × C(n,3) × P(9,n−3) |
|
10 1.0% |
360 3.6% |
7,200 7.20% |
100,800 10.080% |
1,058,400 10.5840% |
8,467,200 8.46720% |
50,803,200 5.080320% |
217,728,000 2.1772800% |
| 4x |
10 × C(n,4) × P(9,n−4) |
|
|
10 0.1% |
450 0.45% |
10,800 1.080% |
176,400 1.7640% |
2,116,800 2.11680% |
19,051,200 1.905120% |
127,008,000 1.2700800% |
| 5x |
10 × C(n,5) × P(9,n−5) |
|
|
|
10 0.01% |
540 0.054% |
15,120 0.1512% |
282,240 0.28224% |
3,810,240 0.381024% |
38,102,400 0.3810240% |
| 6x |
10 × C(n,6) × P(9,n−6) |
|
|
|
|
10 0.001% |
630 0.0063% |
20,160 0.02016% |
423,360 0.042336% |
6,350,400 0.0635040% |
| 7x |
10 × C(n,7) × P(9,n−7) |
|
|
|
|
|
10 0.0001% |
720 0.00072% |
25,920 0.002592% |
604,800 0.0060480% |
| 8x |
10 × C(n,8) × P(9,n−8) |
|
|
|
|
|
|
10 0.00001% |
810 0.000081% |
32,400 0.0003240% |
| 9x |
10 × C(n,9) × P(9,n−9) |
|
|
|
|
|
|
|
10 0.000001% |
900 0.0000090% |
| 10x |
10 × C(n,10) × P(9,n−10) |
|
|
|
|
|
|
|
|
10 0.0000001% |
| 2x,2x |
C(10,2) × C(n,2) × C(n−2,2) × P(8,n−4) |
|
|
270 2.7% |
10,800 10.80% |
226,800 22.680% |
3,175,200 31.7520% |
31,752,000 31.75200% |
228,614,400 22.861440% |
1,143,072,000 11.4307200% |
| 3x,2x |
10 × C(n,3) × 9 × C(n−3,2) × P(8,n−5) |
|
|
|
900 0.90% |
43,200 4.320% |
1,058,400 10.5840% |
16,934,400 16.93440% |
190,512,000 19.051200% |
1,524,096,000 15.2409600% |
| 3x,3x |
C(10,2) × C(n,3) × C(n−3,3) × P(8,n−6) |
|
|
|
|
900 0.090% |
50,400 0.5040% |
1,411,200 1.41120% |
25,401,600 2.540160% |
317,520,000 3.1752000% |
| 4x,2x |
10 × C(n,4) × 9 × C(n−4,2) × P(8,n−6) |
|
|
|
|
1,350 0.135% |
75,600 0.7560% |
2,116,800 2.11680% |
38,102,400 3.810240% |
476,280,000 4.7628000% |
| 4x,3x |
10 × C(n,4) × 9 × C(n−4,3) × P(8,n−7) |
|
|
|
|
|
3,150 0.0315% |
201,600 0.20160% |
6,350,400 0.635040% |
127,008,000 1.2700800% |
| 4x,4x |
C(10,2) × C(n,4) × C(n−4,4) × P(8,n−8) |
|
|
|
|
|
|
3,150 0.00315% |
226,800 0.022680% |
7,938,000 0.0793800% |
| 5x,2x |
10 × C(n,5) × 9 × C(n−5,2) × P(8,n−7) |
|
|
|
|
|
1,890 0.0189% |
120,960 0.12096% |
3,810,240 0.381024% |
76,204,800 0.7620480% |
| 5x,3x |
10 × C(n,5) × 9 × C(n−5,3) × P(8,n−8) |
|
|
|
|
|
|
5,040 0.00504% |
362,880 0.036288% |
12,700,800 0.1270080% |
| 5x,4x |
10 × C(n,5) × 9 × C(n−5,4) × P(8,n−9) |
|
|
|
|
|
|
|
11,340 0.001134% |
907,200 0.0090720% |
| 5x,5x |
C(10,2) × C(n,5) × C(n−5,5) × P(8,n−10) |
|
|
|
|
|
|
|
|
11,340 0.0001134% |
| 6x,2x |
10 × C(n,6) × 9 × C(n−6,2) × P(8,n−8) |
|
|
|
|
|
|
2,520 0.00252% |
181,440 0.018144% |
6,350,400 0.0635040% |
| 6x,3x |
10 × C(n,6) × 9 × C(n−6,3) × P(8,n−9) |
|
|
|
|
|
|
|
7,560 0.000756% |
604,800 0.0060480% |
| 6x,4x |
10 × C(n,6) × 9 × C(n−6,4) × P(8,n−10) |
|
|
|
|
|
|
|
|
18,900 0.0001890% |
| 7x,2x |
10 × C(n,7) × 9 × C(n−7,2) × P(8,n−9) |
|
|
|
|
|
|
|
3,240 0.000324% |
259,200 0.0025920% |
| 7x,3x |
10 × C(n,7) × 9 × C(n−7,3) × P(8,n−10) |
|
|
|
|
|
|
|
|
10,800 0.0001080% |
| 8x,2x |
10 × C(n,8) × 9 × C(n−8,2) × P(8,n−10) |
|
|
|
|
|
|
|
|
4,050 0.0000405% |
| 2x,2x,2x |
C(10,3) × C(n,2) × C(n−2,2) × C(n−4,2) × P(7,n−6) |
|
|
|
|
10,800 1.080% |
529,200 5.2920% |
12,700,800 12.70080% |
190,512,000 19.051200% |
1,905,120,000 19.0512000% |
| 3x,2x,2x |
C(10,2) × C(n,2) × C(n−2,2) × 8 × C(n−4,3) × P(7,n−7) |
|
|
|
|
|
75,600 0.7560% |
4,233,600 4.23360% |
114,307,200 11.430720% |
1,905,120,000 19.0512000% |
| 3x,3x,2x |
C(10,2) × C(n,3) × C(n−3,3) × 8 × C(n−6,2) × P(7,n−8) |
|
|
|
|
|
|
201,600 0.20160% |
12,700,800 1.270080% |
381,024,000 3.8102400% |
| 3x,3x,3x |
C(10,3) × C(n,3) × C(n−3,3) × C(n−6,6) × P(7,n−9) |
|
|
|
|
|
|
|
201,600 0.020160% |
14,112,000 0.1411200% |
| 4x,2x,2x |
C(10,2) × C(n,2) × C(n−2,2) × 8 × C(n−4,4) × P(7,n−8) |
|
|
|
|
|
|
151,200 0.15120% |
9,525,600 0.952560% |
285,768,000 2.8576800% |
| 4x,3x,2x |
10 × C(n,4) × 9 × C(n−4,3) × 8 × C(n−7,3) × P(7,n−9) |
|
|
|
|
|
|
|
907,200 0.090720% |
63,504,000 0.6350400% |
| 4x,3x,3x |
C(10,2) × C(n,3) × C(n−3,3) × 8 × C(n−6,4) × P(7,n−10) |
|
|
|
|
|
|
|
|
1,134,000 0.0113400% |
| 4x,4x,2x |
C(10,2) × C(n,4) × C(n−4,4) × 8 × C(n−8,2) × P(7,n−10) |
|
|
|
|
|
|
|
|
1,134,000 0.0113400% |
| 5x,2x,2x |
C(10,2) × C(n,2) × C(n−2,2) × 8 × C(n−4,5) × P(7,n−9) |
|
|
|
|
|
|
|
272,160 0.027216% |
19,051,200 0.1905120% |
| 5x,3x,2x |
10 × C(n,5) × 9 × C(n−5,3) × 8 × C(n−8,3) × P(7,n−10) |
|
|
|
|
|
|
|
|
1,814,400 0.0181440% |
| 6x,2x,2x |
C(10,2) × C(n,2) × C(n−2,2) × 8 × C(n−4,6) × P(7,n−10) |
|
|
|
|
|
|
|
|
453,600 0.0045360% |
| 2x,2x,2x,2x |
C(10,4) × C(n,2) × C(n−2,2) × C(n−4,2) × C(n−6,2) × P(6,n−8) |
|
|
|
|
|
|
529,200 0.52920% |
28,576,800 2.857680% |
714,420,000 7.1442000% |
| 3x,2x,2x,2x |
C(10,3) × C(n,2) × C(n−2,2) × C(n−4,2) × 7 × C(n−6,3) × P(6,n−9) |
|
|
|
|
|
|
|
6,350,400 0.635040% |
381,024,000 3.8102400% |
| 3x,3x,2x,2x |
C(10,2) × C(n,3) × C(n−3,3) × C(8,2) × C(n−6,2) × C(n−8,2) × P(6,n−10) |
|
|
|
|
|
|
|
|
31,752,000 0.3175200% |
| 4x,2x,2x,2x |
C(10,3) × C(n,2) × C(n−2,2) × C(n−4,2) × 7 × C(n−6,4) × P(6,n−10) |
|
|
|
|
|
|
|
|
15,876,000 0.1587600% |
| 2x,2x,2x,2x,2x |
C(10,5) × C(n,2) × C(n−2,2) × C(n−4,2) × C(n−6,2) × C(n−8,2) × P(4,n−10) |
|
|
|
|
|
|
|
|
28,576,800 0.2857680% |
|