This section endeavors to answer the frequently asked question on the probability for any given total over the throw of multiple dice. I shall show the number of combinations (up to 15 significant digits) and probability (to 15 decimal places) of totals for 1 to 10, 15, 20, and 25 dice. I also keep just the number of combinations for all numbers of dice from 1 to 26, without the 15 significant digit constraint, in a section for the unedited data.
Combinations for One to Six Dice.
The first table shows just the number of combinations for one to six dice.
Notice how for two or more dice the number of combinations equals the sum of combinations one column to the left, starting from one row higher to seven rows higher. For example, comb(12 with 3 dice)=comb(11 with 2 dice)+comb(10 with 2 dice)+comb(9 with 2 dice)+comb(8 with 2 dice)+comb(7 with 2 dice)+comb(6 with 2 dice), or 25=2+3+4+5+6+5. Assume the number of combinations for any total less than 1 is 0. This method will work for any number of dice.
Combinations for One to Six Dice
| Total |
1 die |
2 dice |
3 dice |
4 dice |
5 dice |
6 dice |
| 1 |
1 |
|
|
|
|
|
| 2 |
1 |
1 |
|
|
|
|
| 3 |
1 |
2 |
1 |
|
|
|
| 4 |
1 |
3 |
3 |
1 |
|
|
| 5 |
1 |
4 |
6 |
4 |
1 |
|
| 6 |
1 |
5 |
10 |
10 |
5 |
1 |
| 7 |
|
6 |
15 |
20 |
15 |
6 |
| 8 |
|
5 |
21 |
35 |
35 |
21 |
| 9 |
|
4 |
25 |
56 |
70 |
56 |
| 10 |
|
3 |
27 |
80 |
126 |
126 |
| 11 |
|
2 |
27 |
104 |
205 |
252 |
| 12 |
|
1 |
25 |
125 |
305 |
456 |
| 13 |
|
|
21 |
140 |
420 |
756 |
| 14 |
|
|
15 |
146 |
540 |
1161 |
| 15 |
|
|
10 |
140 |
651 |
1666 |
| 16 |
|
|
6 |
125 |
735 |
2247 |
| 17 |
|
|
3 |
104 |
780 |
2856 |
| 18 |
|
|
1 |
80 |
780 |
3431 |
| 19 |
|
|
|
56 |
735 |
3906 |
| 20 |
|
|
|
35 |
651 |
4221 |
| 21 |
|
|
|
20 |
540 |
4332 |
| 22 |
|
|
|
10 |
420 |
4221 |
| 23 |
|
|
|
4 |
305 |
3906 |
| 24 |
|
|
|
1 |
205 |
3431 |
| 25 |
|
|
|
|
126 |
2856 |
| 26 |
|
|
|
|
70 |
2247 |
| 27 |
|
|
|
|
35 |
1666 |
| 28 |
|
|
|
|
15 |
1161 |
| 29 |
|
|
|
|
5 |
756 |
| 30 |
|
|
|
|
1 |
456 |
| 31 |
|
|
|
|
|
252 |
| 32 |
|
|
|
|
|
126 |
| 33 |
|
|
|
|
|
56 |
| 34 |
|
|
|
|
|
21 |
| 35 |
|
|
|
|
|
6 |
| 36 |
|
|
|
|
|
1 |
1 Die
1 Die
| Total |
Combinations |
Probability |
| 1 |
1 |
0.166666666666667 |
| 2 |
1 |
0.166666666666667 |
| 3 |
1 |
0.166666666666667 |
| 4 |
1 |
0.166666666666667 |
| 5 |
1 |
0.166666666666667 |
| 6 |
1 |
0.166666666666667 |
| Total |
6 |
1.000000000000000 |
2 Dice
2 Dice
| Total |
Combinations |
Probability |
| 2 |
1 |
0.027777777777778 |
| 3 |
2 |
0.055555555555556 |
| 4 |
3 |
0.083333333333333 |
| 5 |
4 |
0.111111111111111 |
| 6 |
5 |
0.138888888888889 |
| 7 |
6 |
0.166666666666667 |
| 8 |
5 |
0.138888888888889 |
| 9 |
4 |
0.111111111111111 |
| 10 |
3 |
0.083333333333333 |
| 11 |
2 |
0.055555555555556 |
| 12 |
1 |
0.027777777777778 |
| Total |
36 |
1.000000000000000 |
3 Dice
3 Dice
| Total |
Combinations |
Probability |
| 3 |
1 |
0.004629629629630 |
| 4 |
3 |
0.013888888888889 |
| 5 |
6 |
0.027777777777778 |
| 6 |
10 |
0.046296296296296 |
| 7 |
15 |
0.069444444444444 |
| 8 |
21 |
0.097222222222222 |
| 9 |
25 |
0.115740740740741 |
| 10 |
27 |
0.125000000000000 |
| 11 |
27 |
0.125000000000000 |
| 12 |
25 |
0.115740740740741 |
| 13 |
21 |
0.097222222222222 |
| 14 |
15 |
0.069444444444444 |
| 15 |
10 |
0.046296296296296 |
| 16 |
6 |
0.027777777777778 |
| 17 |
3 |
0.013888888888889 |
| 18 |
1 |
0.004629629629630 |
| Total |
216 |
1.000000000000000 |
4 Dice
4 Dice
| Total |
Combinations |
Probability |
| 4 |
1 |
0.000771604938272 |
| 5 |
4 |
0.003086419753086 |
| 6 |
10 |
0.007716049382716 |
| 7 |
20 |
0.015432098765432 |
| 8 |
35 |
0.027006172839506 |
| 9 |
56 |
0.043209876543210 |
| 10 |
80 |
0.061728395061728 |
| 11 |
104 |
0.080246913580247 |
| 12 |
125 |
0.096450617283951 |
| 13 |
140 |
0.108024691358025 |
| 14 |
146 |
0.112654320987654 |
| 15 |
140 |
0.108024691358025 |
| 16 |
125 |
0.096450617283951 |
| 17 |
104 |
0.080246913580247 |
| 18 |
80 |
0.061728395061728 |
| 19 |
56 |
0.043209876543210 |
| 20 |
35 |
0.027006172839506 |
| 21 |
20 |
0.015432098765432 |
| 22 |
10 |
0.007716049382716 |
| 23 |
4 |
0.003086419753086 |
| 24 |
1 |
0.000771604938272 |
| Total |
1296 |
1.000000000000000 |
5 Dice
5 Dice
| Total |
Combinations |
Probability |
| 5 |
1 |
0.000128600823045 |
| 6 |
5 |
0.000643004115226 |
| 7 |
15 |
0.001929012345679 |
| 8 |
35 |
0.004501028806584 |
| 9 |
70 |
0.009002057613169 |
| 10 |
126 |
0.016203703703704 |
| 11 |
205 |
0.026363168724280 |
| 12 |
305 |
0.039223251028807 |
| 13 |
420 |
0.054012345679012 |
| 14 |
540 |
0.069444444444444 |
| 15 |
651 |
0.083719135802469 |
| 16 |
735 |
0.094521604938272 |
| 17 |
780 |
0.100308641975309 |
| 18 |
780 |
0.100308641975309 |
| 19 |
735 |
0.094521604938272 |
| 20 |
651 |
0.083719135802469 |
| 21 |
540 |
0.069444444444444 |
| 22 |
420 |
0.054012345679012 |
| 23 |
305 |
0.039223251028807 |
| 24 |
205 |
0.026363168724280 |
| 25 |
126 |
0.016203703703704 |
| 26 |
70 |
0.009002057613169 |
| 27 |
35 |
0.004501028806584 |
| 28 |
15 |
0.001929012345679 |
| 29 |
5 |
0.000643004115226 |
| 30 |
1 |
0.000128600823045 |
| Total |
7776 |
1.000000000000000 |
6 Dice
6 Dice
| Total |
Combinations |
Probability |
| 6 |
1 |
0.000021433470508 |
| 7 |
6 |
0.000128600823045 |
| 8 |
21 |
0.000450102880658 |
| 9 |
56 |
0.001200274348423 |
| 10 |
126 |
0.002700617283951 |
| 11 |
252 |
0.005401234567901 |
| 12 |
456 |
0.009773662551440 |
| 13 |
756 |
0.016203703703704 |
| 14 |
1161 |
0.024884259259259 |
| 15 |
1666 |
0.035708161865569 |
| 16 |
2247 |
0.048161008230453 |
| 17 |
2856 |
0.061213991769547 |
| 18 |
3431 |
0.073538237311386 |
| 19 |
3906 |
0.083719135802469 |
| 20 |
4221 |
0.090470679012346 |
| 21 |
4332 |
0.092849794238683 |
| 22 |
4221 |
0.090470679012346 |
| 23 |
3906 |
0.083719135802469 |
| 24 |
3431 |
0.073538237311386 |
| 25 |
2856 |
0.061213991769547 |
| 26 |
2247 |
0.048161008230453 |
| 27 |
1666 |
0.035708161865569 |
| 28 |
1161 |
0.024884259259259 |
| 29 |
756 |
0.016203703703704 |
| 30 |
456 |
0.009773662551440 |
| 31 |
252 |
0.005401234567901 |
| 32 |
126 |
0.002700617283951 |
| 33 |
56 |
0.001200274348423 |
| 34 |
21 |
0.000450102880658 |
| 35 |
6 |
0.000128600823045 |
| 36 |
1 |
0.000021433470508 |
| Total |
46656 |
1.000000000000000 |
7 Dice
7 Dice
| Total |
Combinations |
Probability |
| 7 |
1 |
0.000003572245085 |
| 8 |
7 |
0.000025005715592 |
| 9 |
28 |
0.000100022862369 |
| 10 |
84 |
0.000300068587106 |
| 11 |
210 |
0.000750171467764 |
| 12 |
462 |
0.001650377229081 |
| 13 |
917 |
0.003275748742570 |
| 14 |
1667 |
0.005954932556013 |
| 15 |
2807 |
0.010027291952446 |
| 16 |
4417 |
0.015778606538637 |
| 17 |
6538 |
0.023355338363054 |
| 18 |
9142 |
0.032657464563329 |
| 19 |
12117 |
0.043284893689986 |
| 20 |
15267 |
0.054537465706447 |
| 21 |
18327 |
0.065468535665295 |
| 22 |
20993 |
0.074992141060814 |
| 23 |
22967 |
0.082043752857796 |
| 24 |
24017 |
0.085794610196616 |
| 25 |
24017 |
0.085794610196616 |
| 26 |
22967 |
0.082043752857796 |
| 27 |
20993 |
0.074992141060814 |
| 28 |
18327 |
0.065468535665295 |
| 29 |
15267 |
0.054537465706447 |
| 30 |
12117 |
0.043284893689986 |
| 31 |
9142 |
0.032657464563329 |
| 32 |
6538 |
0.023355338363054 |
| 33 |
4417 |
0.015778606538637 |
| 34 |
2807 |
0.010027291952446 |
| 35 |
1667 |
0.005954932556013 |
| 36 |
917 |
0.003275748742570 |
| 37 |
462 |
0.001650377229081 |
| 38 |
210 |
0.000750171467764 |
| 39 |
84 |
0.000300068587106 |
| 40 |
28 |
0.000100022862369 |
| 41 |
7 |
0.000025005715592 |
| 42 |
1 |
0.000003572245085 |
| Total |
279936 |
1.000000000000000 |
8 Dice
8 Dice
| Total |
Combinations |
Probability |
| 8 |
1 |
0.000000595374181 |
| 9 |
8 |
0.000004762993446 |
| 10 |
36 |
0.000021433470508 |
| 11 |
120 |
0.000071444901692 |
| 12 |
330 |
0.000196473479652 |
| 13 |
792 |
0.000471536351166 |
| 14 |
1708 |
0.001016899100747 |
| 15 |
3368 |
0.002005220240817 |
| 16 |
6147 |
0.003659765089163 |
| 17 |
10480 |
0.006239521414419 |
| 18 |
16808 |
0.010007049230300 |
| 19 |
25488 |
0.015174897119342 |
| 20 |
36688 |
0.021843087943911 |
| 21 |
50288 |
0.029940176802317 |
| 22 |
65808 |
0.039180384087792 |
| 23 |
82384 |
0.049049306508154 |
| 24 |
98813 |
0.058830708923945 |
| 25 |
113688 |
0.067686899862826 |
| 26 |
125588 |
0.074771852613931 |
| 27 |
133288 |
0.079356233805822 |
| 28 |
135954 |
0.080943501371742 |
| 29 |
133288 |
0.079356233805822 |
| 30 |
125588 |
0.074771852613931 |
| 31 |
113688 |
0.067686899862826 |
| 32 |
98813 |
0.058830708923945 |
| 33 |
82384 |
0.049049306508154 |
| 34 |
65808 |
0.039180384087792 |
| 35 |
50288 |
0.029940176802317 |
| 36 |
36688 |
0.021843087943911 |
| 37 |
25488 |
0.015174897119342 |
| 38 |
16808 |
0.010007049230300 |
| 39 |
10480 |
0.006239521414419 |
| 40 |
6147 |
0.003659765089163 |
| 41 |
3368 |
0.002005220240817 |
| 42 |
1708 |
0.001016899100747 |
| 43 |
792 |
0.000471536351166 |
| 44 |
330 |
0.000196473479652 |
| 45 |
120 |
0.000071444901692 |
| 46 |
36 |
0.000021433470508 |
| 47 |
8 |
0.000004762993446 |
| 48 |
1 |
0.000000595374181 |
| Total |
1679616 |
1.000000000000000 |
9 Dice
9 Dice
| Total |
Combinations |
Probability |
| 9 |
1 |
0.000000099229030 |
| 10 |
9 |
0.000000893061271 |
| 11 |
45 |
0.000004465306356 |
| 12 |
165 |
0.000016372789971 |
| 13 |
495 |
0.000049118369913 |
| 14 |
1287 |
0.000127707761774 |
| 15 |
2994 |
0.000297091716202 |
| 16 |
6354 |
0.000630501257430 |
| 17 |
12465 |
0.001236889860540 |
| 18 |
22825 |
0.002264902612661 |
| 19 |
39303 |
0.003899998571102 |
| 20 |
63999 |
0.006350558699131 |
| 21 |
98979 |
0.009821590172992 |
| 22 |
145899 |
0.014477416266575 |
| 23 |
205560 |
0.020397519433013 |
| 24 |
277464 |
0.027532483615303 |
| 25 |
359469 |
0.035669760230910 |
| 26 |
447669 |
0.044421760688157 |
| 27 |
536569 |
0.053243221466494 |
| 28 |
619569 |
0.061479230967078 |
| 29 |
689715 |
0.068439750514403 |
| 30 |
740619 |
0.073490905064015 |
| 31 |
767394 |
0.076147762345679 |
| 32 |
767394 |
0.076147762345679 |
| 33 |
740619 |
0.073490905064015 |
| 34 |
689715 |
0.068439750514403 |
| 35 |
619569 |
0.061479230967078 |
| 36 |
536569 |
0.053243221466494 |
| 37 |
447669 |
0.044421760688157 |
| 38 |
359469 |
0.035669760230910 |
| 39 |
277464 |
0.027532483615303 |
| 40 |
205560 |
0.020397519433013 |
| 41 |
145899 |
0.014477416266575 |
| 42 |
98979 |
0.009821590172992 |
| 43 |
63999 |
0.006350558699131 |
| 44 |
39303 |
0.003899998571102 |
| 45 |
22825 |
0.002264902612661 |
| 46 |
12465 |
0.001236889860540 |
| 47 |
6354 |
0.000630501257430 |
| 48 |
2994 |
0.000297091716202 |
| 49 |
1287 |
0.000127707761774 |
| 50 |
495 |
0.000049118369913 |
| 51 |
165 |
0.000016372789971 |
| 52 |
45 |
0.000004465306356 |
| 53 |
9 |
0.000000893061271 |
| 54 |
1 |
0.000000099229030 |
| Total |
10077696 |
1.000000000000000 |
10 Dice
10 Dice
| Total |
Combinations |
Probability |
| 10 |
1 |
0.000000016538172 |
| 11 |
10 |
0.000000165381717 |
| 12 |
55 |
0.000000909599443 |
| 13 |
220 |
0.000003638397771 |
| 14 |
715 |
0.000011824792757 |
| 15 |
2002 |
0.000033109419719 |
| 16 |
4995 |
0.000082608167581 |
| 17 |
11340 |
0.000187542866941 |
| 18 |
23760 |
0.000392946959305 |
| 19 |
46420 |
0.000767701929753 |
| 20 |
85228 |
0.001409515296618 |
| 21 |
147940 |
0.002446657119511 |
| 22 |
243925 |
0.004034073528976 |
| 23 |
383470 |
0.006341892697167 |
| 24 |
576565 |
0.009535330959246 |
| 25 |
831204 |
0.013746594459686 |
| 26 |
1151370 |
0.019041554736321 |
| 27 |
1535040 |
0.025386755067825 |
| 28 |
1972630 |
0.032623693616742 |
| 29 |
2446300 |
0.040457329400159 |
| 30 |
2930455 |
0.048464367913724 |
| 31 |
3393610 |
0.056124104821843 |
| 32 |
3801535 |
0.062870438507638 |
| 33 |
4121260 |
0.068158105450558 |
| 34 |
4325310 |
0.071532719383478 |
| 35 |
4395456 |
0.072692805974699 |
| 36 |
4325310 |
0.071532719383478 |
| 37 |
4121260 |
0.068158105450558 |
| 38 |
3801535 |
0.062870438507638 |
| 39 |
3393610 |
0.056124104821843 |
| 40 |
2930455 |
0.048464367913724 |
| 41 |
2446300 |
0.040457329400159 |
| 42 |
1972630 |
0.032623693616742 |
| 43 |
1535040 |
0.025386755067825 |
| 44 |
1151370 |
0.019041554736321 |
| 45 |
831204 |
0.013746594459686 |
| 46 |
576565 |
0.009535330959246 |
| 47 |
383470 |
0.006341892697167 |
| 48 |
243925 |
0.004034073528976 |
| 49 |
147940 |
0.002446657119511 |
| 50 |
85228 |
0.001409515296618 |
| 51 |
46420 |
0.000767701929753 |
| 52 |
23760 |
0.000392946959305 |
| 53 |
11340 |
0.000187542866941 |
| 54 |
4995 |
0.000082608167581 |
| 55 |
2002 |
0.000033109419719 |
| 56 |
715 |
0.000011824792757 |
| 57 |
220 |
0.000003638397771 |
| 58 |
55 |
0.000000909599443 |
| 59 |
10 |
0.000000165381717 |
| 60 |
1 |
0.000000016538172 |
| Total |
60466176 |
1.000000000000000 |
15 Dice
15 Dice
| Total |
Combinations |
Probability |
| 15 |
1 |
0.000000000002127 |
| 16 |
15 |
0.000000000031902 |
| 17 |
120 |
0.000000000255219 |
| 18 |
680 |
0.000000001446239 |
| 19 |
3060 |
0.000000006508077 |
| 20 |
11628 |
0.000000024730692 |
| 21 |
38745 |
0.000000082403737 |
| 22 |
116055 |
0.000000246828384 |
| 23 |
317970 |
0.000000676265747 |
| 24 |
806990 |
0.000001716324482 |
| 25 |
1915356 |
0.000004073622219 |
| 26 |
4282980 |
0.000009109138191 |
| 27 |
9076405 |
0.000019303902289 |
| 28 |
18315675 |
0.000038954189523 |
| 29 |
35332650 |
0.000075146274677 |
| 30 |
65372310 |
0.000139035299179 |
| 31 |
116325135 |
0.000247402913355 |
| 32 |
199542465 |
0.000424391402418 |
| 33 |
330639445 |
0.000703211407949 |
| 34 |
530137275 |
0.001127507879645 |
| 35 |
823747890 |
0.001751965539144 |
| 36 |
1242073550 |
0.002641669961281 |
| 37 |
1819496655 |
0.003869746407663 |
| 38 |
2592085185 |
0.005512905069347 |
| 39 |
3594444165 |
0.007644744691797 |
| 40 |
4855600971 |
0.010327001351136 |
| 41 |
6394206690 |
0.013599342598671 |
| 42 |
8213538270 |
0.017468737921112 |
| 43 |
10296957375 |
0.021899800531243 |
| 44 |
12604578705 |
0.026807701475977 |
| 45 |
15071885925 |
0.032055225963014 |
| 46 |
17610885675 |
0.037455227735273 |
| 47 |
20114111295 |
0.042779144283262 |
| 48 |
22461407505 |
0.047771426655096 |
| 49 |
24529001175 |
0.052168831374144 |
| 50 |
26199964377 |
0.055722673493341 |
| 51 |
27374880105 |
0.058221510688364 |
| 52 |
27981391815 |
0.059511453434084 |
| 53 |
27981391815 |
0.059511453434084 |
| 54 |
27374880105 |
0.058221510688364 |
| 55 |
26199964377 |
0.055722673493341 |
| 56 |
24529001175 |
0.052168831374144 |
| 57 |
22461407505 |
0.047771426655096 |
| 58 |
20114111295 |
0.042779144283262 |
| 59 |
17610885675 |
0.037455227735273 |
| 60 |
15071885925 |
0.032055225963014 |
| 61 |
12604578705 |
0.026807701475977 |
| 62 |
10296957375 |
0.021899800531243 |
| 63 |
8213538270 |
0.017468737921112 |
| 64 |
6394206690 |
0.013599342598671 |
| 65 |
4855600971 |
0.010327001351136 |
| 66 |
3594444165 |
0.007644744691797 |
| 67 |
2592085185 |
0.005512905069347 |
| 68 |
1819496655 |
0.003869746407663 |
| 69 |
1242073550 |
0.002641669961281 |
| 70 |
823747890 |
0.001751965539144 |
| 71 |
530137275 |
0.001127507879645 |
| 72 |
330639445 |
0.000703211407949 |
| 73 |
199542465 |
0.000424391402418 |
| 74 |
116325135 |
0.000247402913355 |
| 75 |
65372310 |
0.000139035299179 |
| 76 |
35332650 |
0.000075146274677 |
| 77 |
18315675 |
0.000038954189523 |
| 78 |
9076405 |
0.000019303902289 |
| 79 |
4282980 |
0.000009109138191 |
| 80 |
1915356 |
0.000004073622219 |
| 81 |
806990 |
0.000001716324482 |
| 82 |
317970 |
0.000000676265747 |
| 83 |
116055 |
0.000000246828384 |
| 84 |
38745 |
0.000000082403737 |
| 85 |
11628 |
0.000000024730692 |
| 86 |
3060 |
0.000000006508077 |
| 87 |
680 |
0.000000001446239 |
| 88 |
120 |
0.000000000255219 |
| 89 |
15 |
0.000000000031902 |
| 90 |
1 |
0.000000000002127 |
| Total |
470184984576 |
1.000000000000000 |
20 Dice
20 Dice
| Total |
Combinations |
Probability |
| 20 |
1 |
0.000000000000000 |
| 21 |
20 |
0.000000000000005 |
| 22 |
210 |
0.000000000000057 |
| 23 |
1540 |
0.000000000000421 |
| 24 |
8855 |
0.000000000002422 |
| 25 |
42504 |
0.000000000011625 |
| 26 |
177080 |
0.000000000048433 |
| 27 |
657400 |
0.000000000179806 |
| 28 |
2215875 |
0.000000000606066 |
| 29 |
6876100 |
0.000000001880690 |
| 30 |
19852910 |
0.000000005429992 |
| 31 |
53777220 |
0.000000014708668 |
| 32 |
137578715 |
0.000000037629309 |
| 33 |
334221400 |
0.000000091413270 |
| 34 |
774447600 |
0.000000211820033 |
| 35 |
1718122120 |
0.000000469925510 |
| 36 |
3661011200 |
0.000001001327284 |
| 37 |
7513026360 |
0.000002054896275 |
| 38 |
14883869260 |
0.000004070903793 |
| 39 |
28522751000 |
0.000007801289651 |
| 40 |
52968655260 |
0.000014487516372 |
| 41 |
95473613400 |
0.000026113095197 |
| 42 |
167259698400 |
0.000045747387905 |
| 43 |
285156111240 |
0.000077993368153 |
| 44 |
473630804445 |
0.000129543293107 |
| 45 |
767177392956 |
0.000209831550118 |
| 46 |
1212940768770 |
0.000331752791531 |
| 47 |
1873365928060 |
0.000512386418360 |
| 48 |
2828541558365 |
0.000773637577456 |
| 49 |
4177796844360 |
0.001142673905644 |
| 50 |
6040016957080 |
0.001652011819536 |
| 51 |
8552094731000 |
0.002339093031989 |
| 52 |
11864959484010 |
0.003245198390200 |
| 53 |
16136741780240 |
0.004413578362310 |
| 54 |
21522858933280 |
0.005886741312258 |
| 55 |
28163138907504 |
0.007702931743576 |
| 56 |
36166519159030 |
0.009891945262199 |
| 57 |
45594319698440 |
0.012470553573071 |
| 58 |
56443534859400 |
0.015437934593017 |
| 59 |
68631941843000 |
0.018771599471991 |
| 60 |
81987009993775 |
0.022424359156701 |
| 61 |
96240548343540 |
0.026322860434320 |
| 62 |
111030711156790 |
0.030368134471458 |
| 63 |
125912390300660 |
0.034438439242937 |
| 64 |
140376201624375 |
0.038394452517752 |
| 65 |
153875306132440 |
0.042086607748265 |
| 66 |
165858316337600 |
0.045364094323752 |
| 67 |
175805662952520 |
0.048084804265072 |
| 68 |
183266172913710 |
0.050125336721062 |
| 69 |
187890345960720 |
0.051390099483075 |
| 70 |
189456975899496 |
0.051818590196609 |
| 71 |
187890345960720 |
0.051390099483075 |
| 72 |
183266172913710 |
0.050125336721062 |
| 73 |
175805662952520 |
0.048084804265072 |
| 74 |
165858316337600 |
0.045364094323752 |
| 75 |
153875306132440 |
0.042086607748265 |
| 76 |
140376201624375 |
0.038394452517752 |
| 77 |
125912390300660 |
0.034438439242937 |
| 78 |
111030711156790 |
0.030368134471458 |
| 79 |
96240548343540 |
0.026322860434320 |
| 80 |
81987009993775 |
0.022424359156701 |
| 81 |
68631941843000 |
0.018771599471991 |
| 82 |
56443534859400 |
0.015437934593017 |
| 83 |
45594319698440 |
0.012470553573071 |
| 84 |
36166519159030 |
0.009891945262199 |
| 85 |
28163138907504 |
0.007702931743576 |
| 86 |
21522858933280 |
0.005886741312258 |
| 87 |
16136741780240 |
0.004413578362310 |
| 88 |
11864959484010 |
0.003245198390200 |
| 89 |
8552094731000 |
0.002339093031989 |
| 90 |
6040016957080 |
0.001652011819536 |
| 91 |
4177796844360 |
0.001142673905644 |
| 92 |
2828541558365 |
0.000773637577456 |
| 93 |
1873365928060 |
0.000512386418360 |
| 94 |
1212940768770 |
0.000331752791531 |
| 95 |
767177392956 |
0.000209831550118 |
| 96 |
473630804445 |
0.000129543293107 |
| 97 |
285156111240 |
0.000077993368153 |
| 98 |
167259698400 |
0.000045747387905 |
| 99 |
95473613400 |
0.000026113095197 |
| 100 |
52968655260 |
0.000014487516372 |
| 101 |
28522751000 |
0.000007801289651 |
| 102 |
14883869260 |
0.000004070903793 |
| 103 |
7513026360 |
0.000002054896275 |
| 104 |
3661011200 |
0.000001001327284 |
| 105 |
1718122120 |
0.000000469925510 |
| 106 |
774447600 |
0.000000211820033 |
| 107 |
334221400 |
0.000000091413270 |
| 108 |
137578715 |
0.000000037629309 |
| 109 |
53777220 |
0.000000014708668 |
| 110 |
19852910 |
0.000000005429992 |
| 111 |
6876100 |
0.000000001880690 |
| 112 |
2215875 |
0.000000000606066 |
| 113 |
657400 |
0.000000000179806 |
| 114 |
177080 |
0.000000000048433 |
| 115 |
42504 |
0.000000000011625 |
| 116 |
8855 |
0.000000000002422 |
| 117 |
1540 |
0.000000000000421 |
| 118 |
210 |
0.000000000000057 |
| 119 |
20 |
0.000000000000005 |
| 120 |
1 |
0.000000000000000 |
| Total |
3656158440062970 |
1.000000000000000 |
25 Dice
25 Dice
| Total |
Combinations |
Probability |
| 25 |
1 |
0.000000000000000 |
| 26 |
25 |
0.000000000000000 |
| 27 |
325 |
0.000000000000000 |
| 28 |
2925 |
0.000000000000000 |
| 29 |
20475 |
0.000000000000001 |
| 30 |
118755 |
0.000000000000004 |
| 31 |
593750 |
0.000000000000021 |
| 32 |
2628950 |
0.000000000000092 |
| 33 |
10510175 |
0.000000000000370 |
| 34 |
38493975 |
0.000000000001354 |
| 35 |
130616265 |
0.000000000004594 |
| 36 |
414257025 |
0.000000000014571 |
| 37 |
1236833625 |
0.000000000043504 |
| 38 |
3496735425 |
0.000000000122993 |
| 39 |
9406694100 |
0.000000000330869 |
| 40 |
24177540660 |
0.000000000850415 |
| 41 |
59580040650 |
0.000000002095654 |
| 42 |
141189459450 |
0.000000004966164 |
| 43 |
322583308750 |
0.000000011346466 |
| 44 |
712199564350 |
0.000000025050733 |
| 45 |
1522455240070 |
0.000000053550468 |
| 46 |
3156698136150 |
0.000000111032928 |
| 47 |
6358359922200 |
0.000000223647397 |
| 48 |
12459084463800 |
0.000000438232791 |
| 49 |
23779313297000 |
0.000000836407752 |
| 50 |
44256184906376 |
0.000001556656227 |
| 51 |
80399354535800 |
0.000002827947239 |
| 52 |
142704104517400 |
0.000005019439281 |
| 53 |
247679998965100 |
0.000008711835726 |
| 54 |
420677492766700 |
0.000014796807276 |
| 55 |
699707258309580 |
0.000024611332026 |
| 56 |
1140438281829900 |
0.000040113497290 |
| 57 |
1822520072208520 |
0.000064104875416 |
| 58 |
2857290162402720 |
0.000100501625569 |
| 59 |
4396790346715320 |
0.000154651628646 |
| 60 |
6643817535172800 |
0.000233688013578 |
| 61 |
9862478344967270 |
0.000346900401944 |
| 62 |
14388411163369000 |
0.000506094456314 |
| 63 |
20637508476323300 |
0.000725898677305 |
| 64 |
29111652608272900 |
0.001023966151086 |
| 65 |
40399719541288500 |
0.001421009857472 |
| 66 |
55171967687560400 |
0.001940605301975 |
| 67 |
74165974148054000 |
0.002608695841209 |
| 68 |
98162566957232600 |
0.003452746129547 |
| 69 |
127950767866365000 |
0.004500509025152 |
| 70 |
164281617348912000 |
0.005778401442010 |
| 71 |
207811873678121000 |
0.007309524035048 |
| 72 |
259039887536427000 |
0.009111405669324 |
| 73 |
318237332924750000 |
0.011193602139723 |
| 74 |
385381765170843000 |
0.013555323982829 |
| 75 |
460095994386015000 |
0.016183304013721 |
| 76 |
541600822637078000 |
0.019050134914810 |
| 77 |
628687635496274000 |
0.022113305177719 |
| 78 |
719716557311938000 |
0.025315134217222 |
| 79 |
812644347034221000 |
0.028583753572202 |
| 80 |
905083995793710000 |
0.031835203176306 |
| 81 |
994395256747846000 |
0.034976615632631 |
| 82 |
1077802349727290000 |
0.037910356328175 |
| 83 |
1152532159899090000 |
0.040538884399827 |
| 84 |
1215963739043970000 |
0.042770011255738 |
| 85 |
1265778148181130000 |
0.044522171103177 |
| 86 |
1300096912039730000 |
0.045729290912251 |
| 87 |
1317597742043220000 |
0.046344860827866 |
| 88 |
1317597742043220000 |
0.046344860827866 |
| 89 |
1300096912039730000 |
0.045729290912251 |
| 90 |
1265778148181130000 |
0.044522171103177 |
| 91 |
1215963739043970000 |
0.042770011255738 |
| 92 |
1152532159899090000 |
0.040538884399827 |
| 93 |
1077802349727290000 |
0.037910356328175 |
| 94 |
994395256747846000 |
0.034976615632631 |
| 95 |
905083995793710000 |
0.031835203176306 |
| 96 |
812644347034221000 |
0.028583753572202 |
| 97 |
719716557311938000 |
0.025315134217222 |
| 98 |
628687635496274000 |
0.022113305177719 |
| 99 |
541600822637078000 |
0.019050134914810 |
| 100 |
460095994386015000 |
0.016183304013721 |
| 101 |
385381765170843000 |
0.013555323982829 |
| 102 |
318237332924750000 |
0.011193602139723 |
| 103 |
259039887536427000 |
0.009111405669324 |
| 104 |
207811873678121000 |
0.007309524035048 |
| 105 |
164281617348912000 |
0.005778401442010 |
| 106 |
127950767866365000 |
0.004500509025152 |
| 107 |
98162566957232600 |
0.003452746129547 |
| 108 |
74165974148054000 |
0.002608695841209 |
| 109 |
55171967687560400 |
0.001940605301975 |
| 110 |
40399719541288500 |
0.001421009857472 |
| 111 |
29111652608272900 |
0.001023966151086 |
| 112 |
20637508476323300 |
0.000725898677305 |
| 113 |
14388411163369000 |
0.000506094456314 |
| 114 |
9862478344967270 |
0.000346900401944 |
| 115 |
6643817535172800 |
0.000233688013578 |
| 116 |
4396790346715320 |
0.000154651628646 |
| 117 |
2857290162402720 |
0.000100501625569 |
| 118 |
1822520072208520 |
0.000064104875416 |
| 119 |
1140438281829900 |
0.000040113497290 |
| 120 |
699707258309580 |
0.000024611332026 |
| 121 |
420677492766700 |
0.000014796807276 |
| 122 |
247679998965100 |
0.000008711835726 |
| 123 |
142704104517400 |
0.000005019439281 |
| 124 |
80399354535800 |
0.000002827947239 |
| 125 |
44256184906376 |
0.000001556656227 |
| 126 |
23779313297000 |
0.000000836407752 |
| 127 |
12459084463800 |
0.000000438232791 |
| 128 |
6358359922200 |
0.000000223647397 |
| 129 |
3156698136150 |
0.000000111032928 |
| 130 |
1522455240070 |
0.000000053550468 |
| 131 |
712199564350 |
0.000000025050733 |
| 132 |
322583308750 |
0.000000011346466 |
| 133 |
141189459450 |
0.000000004966164 |
| 134 |
59580040650 |
0.000000002095654 |
| 135 |
24177540660 |
0.000000000850415 |
| 136 |
9406694100 |
0.000000000330869 |
| 137 |
3496735425 |
0.000000000122993 |
| 138 |
1236833625 |
0.000000000043504 |
| 139 |
414257025 |
0.000000000014571 |
| 140 |
130616265 |
0.000000000004594 |
| 141 |
38493975 |
0.000000000001354 |
| 142 |
10510175 |
0.000000000000370 |
| 143 |
2628950 |
0.000000000000092 |
| 144 |
593750 |
0.000000000000021 |
| 145 |
118755 |
0.000000000000004 |
| 146 |
20475 |
0.000000000000001 |
| 147 |
2925 |
0.000000000000000 |
| 148 |
325 |
0.000000000000000 |
| 149 |
25 |
0.000000000000000 |
| 150 |
1 |
0.000000000000000 |
