Report of 4400 tosses of 3 dice

The following tables report the results of rolling three dice, one Red , one Blue , and one Green , 4400 times. This page was produced by a run of the Perl script toss_die.pl. If you have Perl installed on your computer you can download the script and run it again to generate new tables for your desired number of tosses.

Considering single die

Red Blue Green Total Theory

showing # % # % # % # % %

1 712 16.182 652 14.818 743 16.886 2107 15.962 16.667

2 724 16.455 744 16.909 772 17.545 2240 16.970 16.667

3 732 16.636 779 17.705 731 16.614 2242 16.985 16.667

4 760 17.273 769 17.477 675 15.341 2204 16.697 16.667

5 727 16.523 707 16.068 707 16.068 2141 16.220 16.667

6 745 16.932 749 17.023 772 17.545 2266 17.167 16.667

Consider as raw pairs

Red Blue Red Green Blue Green Total Theory

values # % # % # % # % %

1 1 80 1.818 109 2.477 119 2.705 308 2.333 2.778

1 2 117 2.659 129 2.932 104 2.364 350 2.652 2.778

1 3 150 3.409 126 2.864 101 2.295 377 2.856 2.778

1 4 126 2.864 121 2.750 104 2.364 351 2.659 2.778

1 5 105 2.386 110 2.500 105 2.386 320 2.424 2.778

1 6 134 3.045 117 2.659 119 2.705 370 2.803 2.778

2 1 127 2.886 119 2.705 140 3.182 386 2.924 2.778

2 2 119 2.705 134 3.045 129 2.932 382 2.894 2.778

2 3 116 2.636 137 3.114 125 2.841 378 2.864 2.778

2 4 130 2.955 114 2.591 101 2.295 345 2.614 2.778

2 5 106 2.409 106 2.409 132 3.000 344 2.606 2.778

2 6 126 2.864 114 2.591 117 2.659 357 2.705 2.778

3 1 105 2.386 135 3.068 115 2.614 355 2.689 2.778

3 2 103 2.341 121 2.750 147 3.341 371 2.811 2.778

3 3 128 2.909 113 2.568 140 3.182 381 2.886 2.778

3 4 131 2.977 132 3.000 121 2.750 384 2.909 2.778

3 5 134 3.045 107 2.432 109 2.477 350 2.652 2.778

3 6 131 2.977 124 2.818 147 3.341 402 3.045 2.778

4 1 118 2.682 137 3.114 130 2.955 385 2.917 2.778

4 2 132 3.000 139 3.159 140 3.182 411 3.114 2.778

4 3 117 2.659 126 2.864 116 2.636 359 2.720 2.778

4 4 136 3.091 84 1.909 129 2.932 349 2.644 2.778

4 5 134 3.045 126 2.864 114 2.591 374 2.833 2.778

4 6 123 2.795 148 3.364 140 3.182 411 3.114 2.778

5 1 122 2.773 121 2.750 119 2.705 362 2.742 2.778

5 2 141 3.205 114 2.591 123 2.795 378 2.864 2.778

5 3 128 2.909 107 2.432 120 2.727 355 2.689 2.778

5 4 110 2.500 123 2.795 94 2.136 327 2.477 2.778

5 5 114 2.591 126 2.864 119 2.705 359 2.720 2.778

5 6 112 2.545 136 3.091 132 3.000 380 2.879 2.778

6 1 100 2.273 122 2.773 120 2.727 342 2.591 2.778

6 2 132 3.000 135 3.068 129 2.932 396 3.000 2.778

6 3 140 3.182 122 2.773 129 2.932 391 2.962 2.778

6 4 136 3.091 101 2.295 126 2.864 363 2.750 2.778

6 5 114 2.591 132 3.000 128 2.909 374 2.833 2.778

6 6 123 2.795 133 3.023 117 2.659 373 2.826 2.778

Consider as sum of pairs

Red Blue Red Green Blue Green Total Theory

total # % # % # % # % %

2 80 1.818 109 2.477 119 2.705 308 2.333 2.778

3 244 5.545 248 5.636 244 5.545 736 5.576 5.556

4 374 8.500 395 8.977 345 7.841 1114 8.439 8.333

5 463 10.523 516 11.727 506 11.500 1485 11.250 11.111

6 617 14.023 597 13.568 605 13.750 1819 13.780 13.889

7 729 16.568 717 16.295 731 16.614 2177 16.492 16.667

8 656 14.909 547 12.432 604 13.727 1807 13.689 13.889

9 515 11.705 495 11.250 484 11.000 1494 11.318 11.111

10 373 8.477 375 8.523 385 8.750 1133 8.583 8.333

11 226 5.136 268 6.091 260 5.909 754 5.712 5.556

12 123 2.795 133 3.023 117 2.659 373 2.826 2.778

Consider as raw triplet
values	#	%	Theory %
1 1 1	14	0.3182	0.4630
1 1 2	11	0.2500	0.4630
1 1 3	12	0.2727	0.4630
1 1 4	18	0.4091	0.4630
1 1 5	9	0.2045	0.4630
1 1 6	16	0.3636	0.4630
1 2 1	19	0.4318	0.4630
1 2 2	20	0.4545	0.4630
1 2 3	23	0.5227	0.4630
1 2 4	16	0.3636	0.4630
1 2 5	23	0.5227	0.4630
1 2 6	16	0.3636	0.4630
1 3 1	20	0.4545	0.4630
1 3 2	32	0.7273	0.4630
1 3 3	23	0.5227	0.4630
1 3 4	28	0.6364	0.4630
1 3 5	17	0.3864	0.4630
1 3 6	30	0.6818	0.4630
1 4 1	24	0.5455	0.4630
1 4 2	23	0.5227	0.4630
1 4 3	24	0.5455	0.4630
1 4 4	14	0.3182	0.4630
1 4 5	20	0.4545	0.4630
1 4 6	21	0.4773	0.4630
1 5 1	11	0.2500	0.4630
1 5 2	24	0.5455	0.4630
1 5 3	23	0.5227	0.4630
1 5 4	12	0.2727	0.4630
1 5 5	18	0.4091	0.4630
1 5 6	17	0.3864	0.4630
1 6 1	21	0.4773	0.4630
1 6 2	19	0.4318	0.4630
1 6 3	21	0.4773	0.4630
1 6 4	33	0.7500	0.4630
1 6 5	23	0.5227	0.4630
1 6 6	17	0.3864	0.4630
2 1 1	22	0.5000	0.4630
2 1 2	25	0.5682	0.4630
2 1 3	20	0.4545	0.4630
2 1 4	19	0.4318	0.4630
2 1 5	20	0.4545	0.4630
2 1 6	21	0.4773	0.4630
2 2 1	18	0.4091	0.4630
2 2 2	20	0.4545	0.4630
2 2 3	21	0.4773	0.4630
2 2 4	17	0.3864	0.4630
2 2 5	20	0.4545	0.4630
2 2 6	23	0.5227	0.4630
2 3 1	16	0.3636	0.4630
2 3 2	19	0.4318	0.4630
2 3 3	26	0.5909	0.4630
2 3 4	22	0.5000	0.4630
2 3 5	13	0.2955	0.4630
2 3 6	20	0.4545	0.4630
2 4 1	22	0.5000	0.4630
2 4 2	30	0.6818	0.4630
2 4 3	20	0.4545	0.4630
2 4 4	24	0.5455	0.4630
2 4 5	16	0.3636	0.4630
2 4 6	18	0.4091	0.4630
2 5 1	21	0.4773	0.4630
2 5 2	15	0.3409	0.4630
2 5 3	22	0.5000	0.4630
2 5 4	13	0.2955	0.4630
2 5 5	19	0.4318	0.4630
2 5 6	16	0.3636	0.4630
2 6 1	20	0.4545	0.4630
2 6 2	25	0.5682	0.4630
2 6 3	28	0.6364	0.4630
2 6 4	19	0.4318	0.4630
2 6 5	18	0.4091	0.4630
2 6 6	16	0.3636	0.4630
3 1 1	20	0.4545	0.4630
3 1 2	11	0.2500	0.4630
3 1 3	18	0.4091	0.4630
3 1 4	23	0.5227	0.4630
3 1 5	20	0.4545	0.4630
3 1 6	13	0.2955	0.4630
3 2 1	24	0.5455	0.4630
3 2 2	22	0.5000	0.4630
3 2 3	13	0.2955	0.4630
3 2 4	16	0.3636	0.4630
3 2 5	16	0.3636	0.4630
3 2 6	12	0.2727	0.4630
3 3 1	21	0.4773	0.4630
3 3 2	25	0.5682	0.4630
3 3 3	18	0.4091	0.4630
3 3 4	24	0.5455	0.4630
3 3 5	14	0.3182	0.4630
3 3 6	26	0.5909	0.4630
3 4 1	20	0.4545	0.4630
3 4 2	22	0.5000	0.4630
3 4 3	18	0.4091	0.4630
3 4 4	26	0.5909	0.4630
3 4 5	17	0.3864	0.4630
3 4 6	28	0.6364	0.4630
3 5 1	24	0.5455	0.4630
3 5 2	21	0.4773	0.4630
3 5 3	26	0.5909	0.4630
3 5 4	19	0.4318	0.4630
3 5 5	22	0.5000	0.4630
3 5 6	22	0.5000	0.4630
3 6 1	26	0.5909	0.4630
3 6 2	20	0.4545	0.4630
3 6 3	20	0.4545	0.4630
3 6 4	24	0.5455	0.4630
3 6 5	18	0.4091	0.4630
3 6 6	23	0.5227	0.4630
4 1 1	24	0.5455	0.4630
4 1 2	20	0.4545	0.4630
4 1 3	20	0.4545	0.4630
4 1 4	13	0.2955	0.4630
4 1 5	15	0.3409	0.4630
4 1 6	26	0.5909	0.4630
4 2 1	29	0.6591	0.4630
4 2 2	25	0.5682	0.4630
4 2 3	24	0.5455	0.4630
4 2 4	14	0.3182	0.4630
4 2 5	20	0.4545	0.4630
4 2 6	20	0.4545	0.4630
4 3 1	18	0.4091	0.4630
4 3 2	21	0.4773	0.4630
4 3 3	21	0.4773	0.4630
4 3 4	11	0.2500	0.4630
4 3 5	26	0.5909	0.4630
4 3 6	20	0.4545	0.4630
4 4 1	25	0.5682	0.4630
4 4 2	25	0.5682	0.4630
4 4 3	15	0.3409	0.4630
4 4 4	21	0.4773	0.4630
4 4 5	22	0.5000	0.4630
4 4 6	28	0.6364	0.4630
4 5 1	24	0.5455	0.4630
4 5 2	26	0.5909	0.4630
4 5 3	25	0.5682	0.4630
4 5 4	13	0.2955	0.4630
4 5 5	21	0.4773	0.4630
4 5 6	25	0.5682	0.4630
4 6 1	17	0.3864	0.4630
4 6 2	22	0.5000	0.4630
4 6 3	21	0.4773	0.4630
4 6 4	12	0.2727	0.4630
4 6 5	22	0.5000	0.4630
4 6 6	29	0.6591	0.4630
5 1 1	22	0.5000	0.4630
5 1 2	15	0.3409	0.4630
5 1 3	18	0.4091	0.4630
5 1 4	19	0.4318	0.4630
5 1 5	28	0.6364	0.4630
5 1 6	20	0.4545	0.4630
5 2 1	26	0.5909	0.4630
5 2 2	23	0.5227	0.4630
5 2 3	19	0.4318	0.4630
5 2 4	20	0.4545	0.4630
5 2 5	26	0.5909	0.4630
5 2 6	27	0.6136	0.4630
5 3 1	19	0.4318	0.4630
5 3 2	27	0.6136	0.4630
5 3 3	19	0.4318	0.4630
5 3 4	22	0.5000	0.4630
5 3 5	18	0.4091	0.4630
5 3 6	23	0.5227	0.4630
5 4 1	20	0.4545	0.4630
5 4 2	11	0.2500	0.4630
5 4 3	20	0.4545	0.4630
5 4 4	20	0.4545	0.4630
5 4 5	16	0.3636	0.4630
5 4 6	23	0.5227	0.4630
5 5 1	15	0.3409	0.4630
5 5 2	17	0.3864	0.4630
5 5 3	15	0.3409	0.4630
5 5 4	22	0.5000	0.4630
5 5 5	18	0.4091	0.4630
5 5 6	27	0.6136	0.4630
5 6 1	19	0.4318	0.4630
5 6 2	21	0.4773	0.4630
5 6 3	16	0.3636	0.4630
5 6 4	20	0.4545	0.4630
5 6 5	20	0.4545	0.4630
5 6 6	16	0.3636	0.4630
6 1 1	17	0.3864	0.4630
6 1 2	22	0.5000	0.4630
6 1 3	13	0.2955	0.4630
6 1 4	12	0.2727	0.4630
6 1 5	13	0.2955	0.4630
6 1 6	23	0.5227	0.4630
6 2 1	24	0.5455	0.4630
6 2 2	19	0.4318	0.4630
6 2 3	25	0.5682	0.4630
6 2 4	18	0.4091	0.4630
6 2 5	27	0.6136	0.4630
6 2 6	19	0.4318	0.4630
6 3 1	21	0.4773	0.4630
6 3 2	23	0.5227	0.4630
6 3 3	33	0.7500	0.4630
6 3 4	14	0.3182	0.4630
6 3 5	21	0.4773	0.4630
6 3 6	28	0.6364	0.4630
6 4 1	19	0.4318	0.4630
6 4 2	29	0.6591	0.4630
6 4 3	19	0.4318	0.4630
6 4 4	24	0.5455	0.4630
6 4 5	23	0.5227	0.4630
6 4 6	22	0.5000	0.4630
6 5 1	24	0.5455	0.4630
6 5 2	20	0.4545	0.4630
6 5 3	9	0.2045	0.4630
6 5 4	15	0.3409	0.4630
6 5 5	21	0.4773	0.4630
6 5 6	25	0.5682	0.4630
6 6 1	17	0.3864	0.4630
6 6 2	22	0.5000	0.4630
6 6 3	23	0.5227	0.4630
6 6 4	18	0.4091	0.4630
6 6 5	27	0.6136	0.4630
6 6 6	16	0.3636	0.4630

Consider as the sum of all three
sum	#	%	Theory %
3	14	0.3182	0.4630
4	52	1.1818	1.3889
5	115	2.6136	2.7778
6	212	4.8182	4.6296
7	295	6.7045	6.9444
8	452	10.2727	9.7222
9	496	11.2727	11.5741
10	545	12.3864	12.5000
11	534	12.1364	12.5000
12	533	12.1136	11.5741
13	422	9.5909	9.7222
14	289	6.5682	6.9444
15	220	5.0000	4.6296
16	137	3.1136	2.7778
17	68	1.5455	1.3889
18	16	0.3636	0.4630

Considering single die
	Red		Blue		Green		Total		Theory
showing	#	%	#	%	#	%	#	%	%
1	712	16.182	652	14.818	743	16.886	2107	15.962	16.667
2	724	16.455	744	16.909	772	17.545	2240	16.970	16.667
3	732	16.636	779	17.705	731	16.614	2242	16.985	16.667
4	760	17.273	769	17.477	675	15.341	2204	16.697	16.667
5	727	16.523	707	16.068	707	16.068	2141	16.220	16.667
6	745	16.932	749	17.023	772	17.545	2266	17.167	16.667

Consider as raw pairs
	Red Blue		Red Green		Blue Green		Total		Theory
values	#	%	#	%	#	%	#	%	%
1 1	80	1.818	109	2.477	119	2.705	308	2.333	2.778
1 2	117	2.659	129	2.932	104	2.364	350	2.652	2.778
1 3	150	3.409	126	2.864	101	2.295	377	2.856	2.778
1 4	126	2.864	121	2.750	104	2.364	351	2.659	2.778
1 5	105	2.386	110	2.500	105	2.386	320	2.424	2.778
1 6	134	3.045	117	2.659	119	2.705	370	2.803	2.778
2 1	127	2.886	119	2.705	140	3.182	386	2.924	2.778
2 2	119	2.705	134	3.045	129	2.932	382	2.894	2.778
2 3	116	2.636	137	3.114	125	2.841	378	2.864	2.778
2 4	130	2.955	114	2.591	101	2.295	345	2.614	2.778
2 5	106	2.409	106	2.409	132	3.000	344	2.606	2.778
2 6	126	2.864	114	2.591	117	2.659	357	2.705	2.778
3 1	105	2.386	135	3.068	115	2.614	355	2.689	2.778
3 2	103	2.341	121	2.750	147	3.341	371	2.811	2.778
3 3	128	2.909	113	2.568	140	3.182	381	2.886	2.778
3 4	131	2.977	132	3.000	121	2.750	384	2.909	2.778
3 5	134	3.045	107	2.432	109	2.477	350	2.652	2.778
3 6	131	2.977	124	2.818	147	3.341	402	3.045	2.778
4 1	118	2.682	137	3.114	130	2.955	385	2.917	2.778
4 2	132	3.000	139	3.159	140	3.182	411	3.114	2.778
4 3	117	2.659	126	2.864	116	2.636	359	2.720	2.778
4 4	136	3.091	84	1.909	129	2.932	349	2.644	2.778
4 5	134	3.045	126	2.864	114	2.591	374	2.833	2.778
4 6	123	2.795	148	3.364	140	3.182	411	3.114	2.778
5 1	122	2.773	121	2.750	119	2.705	362	2.742	2.778
5 2	141	3.205	114	2.591	123	2.795	378	2.864	2.778
5 3	128	2.909	107	2.432	120	2.727	355	2.689	2.778
5 4	110	2.500	123	2.795	94	2.136	327	2.477	2.778
5 5	114	2.591	126	2.864	119	2.705	359	2.720	2.778
5 6	112	2.545	136	3.091	132	3.000	380	2.879	2.778
6 1	100	2.273	122	2.773	120	2.727	342	2.591	2.778
6 2	132	3.000	135	3.068	129	2.932	396	3.000	2.778
6 3	140	3.182	122	2.773	129	2.932	391	2.962	2.778
6 4	136	3.091	101	2.295	126	2.864	363	2.750	2.778
6 5	114	2.591	132	3.000	128	2.909	374	2.833	2.778
6 6	123	2.795	133	3.023	117	2.659	373	2.826	2.778

Consider as sum of pairs
	Red Blue		Red Green		Blue Green		Total		Theory
total	#	%	#	%	#	%	#	%	%
2	80	1.818	109	2.477	119	2.705	308	2.333	2.778
3	244	5.545	248	5.636	244	5.545	736	5.576	5.556
4	374	8.500	395	8.977	345	7.841	1114	8.439	8.333
5	463	10.523	516	11.727	506	11.500	1485	11.250	11.111
6	617	14.023	597	13.568	605	13.750	1819	13.780	13.889
7	729	16.568	717	16.295	731	16.614	2177	16.492	16.667
8	656	14.909	547	12.432	604	13.727	1807	13.689	13.889
9	515	11.705	495	11.250	484	11.000	1494	11.318	11.111
10	373	8.477	375	8.523	385	8.750	1133	8.583	8.333
11	226	5.136	268	6.091	260	5.909	754	5.712	5.556
12	123	2.795	133	3.023	117	2.659	373	2.826	2.778