Report of 216 tosses of 3 dice

The following tables report the results of rolling three dice, one Red , one Blue , and one Green , 216 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 32 14.815 35 16.204 30 13.889 97 14.969 16.667

2 41 18.981 27 12.500 38 17.593 106 16.358 16.667

3 42 19.444 35 16.204 36 16.667 113 17.438 16.667

4 40 18.519 40 18.519 30 13.889 110 16.975 16.667

5 36 16.667 36 16.667 43 19.907 115 17.747 16.667

6 25 11.574 43 19.907 39 18.056 107 16.512 16.667

Consider as raw pairs

Red Blue Red Green Blue Green Total Theory

values # % # % # % # % %

1 1 5 2.315 3 1.389 3 1.389 11 1.698 2.778

1 2 8 3.704 11 5.093 9 4.167 28 4.321 2.778

1 3 4 1.852 4 1.852 7 3.241 15 2.315 2.778

1 4 2 0.926 4 1.852 5 2.315 11 1.698 2.778

1 5 6 2.778 7 3.241 6 2.778 19 2.932 2.778

1 6 7 3.241 3 1.389 5 2.315 15 2.315 2.778

2 1 8 3.704 4 1.852 3 1.389 15 2.315 2.778

2 2 4 1.852 8 3.704 6 2.778 18 2.778 2.778

2 3 9 4.167 8 3.704 2 0.926 19 2.932 2.778

2 4 12 5.556 9 4.167 7 3.241 28 4.321 2.778

2 5 3 1.389 6 2.778 5 2.315 14 2.160 2.778

2 6 5 2.315 6 2.778 4 1.852 15 2.315 2.778

3 1 6 2.778 8 3.704 2 0.926 16 2.469 2.778

3 2 5 2.315 7 3.241 11 5.093 23 3.549 2.778

3 3 9 4.167 7 3.241 5 2.315 21 3.241 2.778

3 4 6 2.778 6 2.778 3 1.389 15 2.315 2.778

3 5 10 4.630 5 2.315 7 3.241 22 3.395 2.778

3 6 6 2.778 9 4.167 7 3.241 22 3.395 2.778

4 1 3 1.389 7 3.241 5 2.315 15 2.315 2.778

4 2 4 1.852 4 1.852 3 1.389 11 1.698 2.778

4 3 6 2.778 4 1.852 5 2.315 15 2.315 2.778

4 4 10 4.630 5 2.315 9 4.167 24 3.704 2.778

4 5 8 3.704 9 4.167 10 4.630 27 4.167 2.778

4 6 9 4.167 11 5.093 8 3.704 28 4.321 2.778

5 1 6 2.778 5 2.315 8 3.704 19 2.932 2.778

5 2 5 2.315 5 2.315 5 2.315 15 2.315 2.778

5 3 6 2.778 7 3.241 6 2.778 19 2.932 2.778

5 4 6 2.778 4 1.852 2 0.926 12 1.852 2.778

5 5 4 1.852 9 4.167 6 2.778 19 2.932 2.778

5 6 9 4.167 6 2.778 9 4.167 24 3.704 2.778

6 1 7 3.241 3 1.389 9 4.167 19 2.932 2.778

6 2 1 0.463 3 1.389 4 1.852 8 1.235 2.778

6 3 1 0.463 6 2.778 11 5.093 18 2.778 2.778

6 4 4 1.852 2 0.926 4 1.852 10 1.543 2.778

6 5 5 2.315 7 3.241 9 4.167 21 3.241 2.778

6 6 7 3.241 4 1.852 6 2.778 17 2.623 2.778

Consider as sum of pairs

Red Blue Red Green Blue Green Total Theory

total # % # % # % # % %

2 5 2.315 3 1.389 3 1.389 11 1.698 2.778

3 16 7.407 15 6.944 12 5.556 43 6.636 5.556

4 14 6.481 20 9.259 15 6.944 49 7.562 8.333

5 19 8.796 26 12.037 23 10.648 68 10.494 11.111

6 37 17.130 32 14.815 29 13.426 98 15.123 13.889

7 34 15.741 27 12.500 32 14.815 93 14.352 16.667

8 32 14.815 26 12.037 30 13.889 88 13.580 13.889

9 21 9.722 28 12.963 30 13.889 79 12.191 11.111

10 17 7.870 22 10.185 18 8.333 57 8.796 8.333

11 14 6.481 13 6.019 18 8.333 45 6.944 5.556

12 7 3.241 4 1.852 6 2.778 17 2.623 2.778

Consider as raw triplet
values	#	%	Theory %
1 1 1	0	0.0000	0.4630
1 1 2	2	0.9259	0.4630
1 1 3	1	0.4630	0.4630
1 1 4	0	0.0000	0.4630
1 1 5	1	0.4630	0.4630
1 1 6	1	0.4630	0.4630
1 2 1	1	0.4630	0.4630
1 2 2	3	1.3889	0.4630
1 2 3	0	0.0000	0.4630
1 2 4	2	0.9259	0.4630
1 2 5	2	0.9259	0.4630
1 2 6	0	0.0000	0.4630
1 3 1	1	0.4630	0.4630
1 3 2	2	0.9259	0.4630
1 3 3	0	0.0000	0.4630
1 3 4	0	0.0000	0.4630
1 3 5	1	0.4630	0.4630
1 3 6	0	0.0000	0.4630
1 4 1	0	0.0000	0.4630
1 4 2	0	0.0000	0.4630
1 4 3	1	0.4630	0.4630
1 4 4	0	0.0000	0.4630
1 4 5	1	0.4630	0.4630
1 4 6	0	0.0000	0.4630
1 5 1	0	0.0000	0.4630
1 5 2	2	0.9259	0.4630
1 5 3	1	0.4630	0.4630
1 5 4	1	0.4630	0.4630
1 5 5	1	0.4630	0.4630
1 5 6	1	0.4630	0.4630
1 6 1	1	0.4630	0.4630
1 6 2	2	0.9259	0.4630
1 6 3	1	0.4630	0.4630
1 6 4	1	0.4630	0.4630
1 6 5	1	0.4630	0.4630
1 6 6	1	0.4630	0.4630
2 1 1	0	0.0000	0.4630
2 1 2	2	0.9259	0.4630
2 1 3	1	0.4630	0.4630
2 1 4	3	1.3889	0.4630
2 1 5	1	0.4630	0.4630
2 1 6	1	0.4630	0.4630
2 2 1	0	0.0000	0.4630
2 2 2	0	0.0000	0.4630
2 2 3	1	0.4630	0.4630
2 2 4	2	0.9259	0.4630
2 2 5	1	0.4630	0.4630
2 2 6	0	0.0000	0.4630
2 3 1	0	0.0000	0.4630
2 3 2	4	1.8519	0.4630
2 3 3	2	0.9259	0.4630
2 3 4	0	0.0000	0.4630
2 3 5	1	0.4630	0.4630
2 3 6	2	0.9259	0.4630
2 4 1	3	1.3889	0.4630
2 4 2	1	0.4630	0.4630
2 4 3	1	0.4630	0.4630
2 4 4	4	1.8519	0.4630
2 4 5	2	0.9259	0.4630
2 4 6	1	0.4630	0.4630
2 5 1	0	0.0000	0.4630
2 5 2	0	0.0000	0.4630
2 5 3	1	0.4630	0.4630
2 5 4	0	0.0000	0.4630
2 5 5	0	0.0000	0.4630
2 5 6	2	0.9259	0.4630
2 6 1	1	0.4630	0.4630
2 6 2	1	0.4630	0.4630
2 6 3	2	0.9259	0.4630
2 6 4	0	0.0000	0.4630
2 6 5	1	0.4630	0.4630
2 6 6	0	0.0000	0.4630
3 1 1	1	0.4630	0.4630
3 1 2	1	0.4630	0.4630
3 1 3	3	1.3889	0.4630
3 1 4	1	0.4630	0.4630
3 1 5	0	0.0000	0.4630
3 1 6	0	0.0000	0.4630
3 2 1	1	0.4630	0.4630
3 2 2	1	0.4630	0.4630
3 2 3	0	0.0000	0.4630
3 2 4	2	0.9259	0.4630
3 2 5	0	0.0000	0.4630
3 2 6	1	0.4630	0.4630
3 3 1	0	0.0000	0.4630
3 3 2	2	0.9259	0.4630
3 3 3	1	0.4630	0.4630
3 3 4	2	0.9259	0.4630
3 3 5	3	1.3889	0.4630
3 3 6	1	0.4630	0.4630
3 4 1	0	0.0000	0.4630
3 4 2	1	0.4630	0.4630
3 4 3	1	0.4630	0.4630
3 4 4	1	0.4630	0.4630
3 4 5	1	0.4630	0.4630
3 4 6	2	0.9259	0.4630
3 5 1	3	1.3889	0.4630
3 5 2	2	0.9259	0.4630
3 5 3	1	0.4630	0.4630
3 5 4	0	0.0000	0.4630
3 5 5	1	0.4630	0.4630
3 5 6	3	1.3889	0.4630
3 6 1	3	1.3889	0.4630
3 6 2	0	0.0000	0.4630
3 6 3	1	0.4630	0.4630
3 6 4	0	0.0000	0.4630
3 6 5	0	0.0000	0.4630
3 6 6	2	0.9259	0.4630
4 1 1	0	0.0000	0.4630
4 1 2	0	0.0000	0.4630
4 1 3	0	0.0000	0.4630
4 1 4	1	0.4630	0.4630
4 1 5	1	0.4630	0.4630
4 1 6	1	0.4630	0.4630
4 2 1	1	0.4630	0.4630
4 2 2	1	0.4630	0.4630
4 2 3	0	0.0000	0.4630
4 2 4	0	0.0000	0.4630
4 2 5	1	0.4630	0.4630
4 2 6	1	0.4630	0.4630
4 3 1	1	0.4630	0.4630
4 3 2	3	1.3889	0.4630
4 3 3	1	0.4630	0.4630
4 3 4	0	0.0000	0.4630
4 3 5	0	0.0000	0.4630
4 3 6	1	0.4630	0.4630
4 4 1	0	0.0000	0.4630
4 4 2	0	0.0000	0.4630
4 4 3	1	0.4630	0.4630
4 4 4	3	1.3889	0.4630
4 4 5	3	1.3889	0.4630
4 4 6	3	1.3889	0.4630
4 5 1	3	1.3889	0.4630
4 5 2	0	0.0000	0.4630
4 5 3	0	0.0000	0.4630
4 5 4	1	0.4630	0.4630
4 5 5	1	0.4630	0.4630
4 5 6	3	1.3889	0.4630
4 6 1	2	0.9259	0.4630
4 6 2	0	0.0000	0.4630
4 6 3	2	0.9259	0.4630
4 6 4	0	0.0000	0.4630
4 6 5	3	1.3889	0.4630
4 6 6	2	0.9259	0.4630
5 1 1	1	0.4630	0.4630
5 1 2	2	0.9259	0.4630
5 1 3	1	0.4630	0.4630
5 1 4	0	0.0000	0.4630
5 1 5	1	0.4630	0.4630
5 1 6	1	0.4630	0.4630
5 2 1	0	0.0000	0.4630
5 2 2	1	0.4630	0.4630
5 2 3	0	0.0000	0.4630
5 2 4	1	0.4630	0.4630
5 2 5	1	0.4630	0.4630
5 2 6	2	0.9259	0.4630
5 3 1	0	0.0000	0.4630
5 3 2	0	0.0000	0.4630
5 3 3	1	0.4630	0.4630
5 3 4	1	0.4630	0.4630
5 3 5	2	0.9259	0.4630
5 3 6	2	0.9259	0.4630
5 4 1	0	0.0000	0.4630
5 4 2	1	0.4630	0.4630
5 4 3	1	0.4630	0.4630
5 4 4	1	0.4630	0.4630
5 4 5	2	0.9259	0.4630
5 4 6	1	0.4630	0.4630
5 5 1	2	0.9259	0.4630
5 5 2	1	0.4630	0.4630
5 5 3	1	0.4630	0.4630
5 5 4	0	0.0000	0.4630
5 5 5	0	0.0000	0.4630
5 5 6	0	0.0000	0.4630
5 6 1	2	0.9259	0.4630
5 6 2	0	0.0000	0.4630
5 6 3	3	1.3889	0.4630
5 6 4	1	0.4630	0.4630
5 6 5	3	1.3889	0.4630
5 6 6	0	0.0000	0.4630
6 1 1	1	0.4630	0.4630
6 1 2	2	0.9259	0.4630
6 1 3	1	0.4630	0.4630
6 1 4	0	0.0000	0.4630
6 1 5	2	0.9259	0.4630
6 1 6	1	0.4630	0.4630
6 2 1	0	0.0000	0.4630
6 2 2	0	0.0000	0.4630
6 2 3	1	0.4630	0.4630
6 2 4	0	0.0000	0.4630
6 2 5	0	0.0000	0.4630
6 2 6	0	0.0000	0.4630
6 3 1	0	0.0000	0.4630
6 3 2	0	0.0000	0.4630
6 3 3	0	0.0000	0.4630
6 3 4	0	0.0000	0.4630
6 3 5	0	0.0000	0.4630
6 3 6	1	0.4630	0.4630
6 4 1	2	0.9259	0.4630
6 4 2	0	0.0000	0.4630
6 4 3	0	0.0000	0.4630
6 4 4	0	0.0000	0.4630
6 4 5	1	0.4630	0.4630
6 4 6	1	0.4630	0.4630
6 5 1	0	0.0000	0.4630
6 5 2	0	0.0000	0.4630
6 5 3	2	0.9259	0.4630
6 5 4	0	0.0000	0.4630
6 5 5	3	1.3889	0.4630
6 5 6	0	0.0000	0.4630
6 6 1	0	0.0000	0.4630
6 6 2	1	0.4630	0.4630
6 6 3	2	0.9259	0.4630
6 6 4	2	0.9259	0.4630
6 6 5	1	0.4630	0.4630
6 6 6	1	0.4630	0.4630

Consider as the sum of all three
sum	#	%	Theory %
3	0	0.0000	0.4630
4	3	1.3889	1.3889
5	8	3.7037	2.7778
6	5	2.3148	4.6296
7	20	9.2593	6.9444
8	21	9.7222	9.7222
9	23	10.6481	11.5741
10	24	11.1111	12.5000
11	28	12.9630	12.5000
12	19	8.7963	11.5741
13	21	9.7222	9.7222
14	17	7.8704	6.9444
15	14	6.4815	4.6296
16	11	5.0926	2.7778
17	1	0.4630	1.3889
18	1	0.4630	0.4630

Considering single die
	Red		Blue		Green		Total		Theory
showing	#	%	#	%	#	%	#	%	%
1	32	14.815	35	16.204	30	13.889	97	14.969	16.667
2	41	18.981	27	12.500	38	17.593	106	16.358	16.667
3	42	19.444	35	16.204	36	16.667	113	17.438	16.667
4	40	18.519	40	18.519	30	13.889	110	16.975	16.667
5	36	16.667	36	16.667	43	19.907	115	17.747	16.667
6	25	11.574	43	19.907	39	18.056	107	16.512	16.667

Consider as raw pairs
	Red Blue		Red Green		Blue Green		Total		Theory
values	#	%	#	%	#	%	#	%	%
1 1	5	2.315	3	1.389	3	1.389	11	1.698	2.778
1 2	8	3.704	11	5.093	9	4.167	28	4.321	2.778
1 3	4	1.852	4	1.852	7	3.241	15	2.315	2.778
1 4	2	0.926	4	1.852	5	2.315	11	1.698	2.778
1 5	6	2.778	7	3.241	6	2.778	19	2.932	2.778
1 6	7	3.241	3	1.389	5	2.315	15	2.315	2.778
2 1	8	3.704	4	1.852	3	1.389	15	2.315	2.778
2 2	4	1.852	8	3.704	6	2.778	18	2.778	2.778
2 3	9	4.167	8	3.704	2	0.926	19	2.932	2.778
2 4	12	5.556	9	4.167	7	3.241	28	4.321	2.778
2 5	3	1.389	6	2.778	5	2.315	14	2.160	2.778
2 6	5	2.315	6	2.778	4	1.852	15	2.315	2.778
3 1	6	2.778	8	3.704	2	0.926	16	2.469	2.778
3 2	5	2.315	7	3.241	11	5.093	23	3.549	2.778
3 3	9	4.167	7	3.241	5	2.315	21	3.241	2.778
3 4	6	2.778	6	2.778	3	1.389	15	2.315	2.778
3 5	10	4.630	5	2.315	7	3.241	22	3.395	2.778
3 6	6	2.778	9	4.167	7	3.241	22	3.395	2.778
4 1	3	1.389	7	3.241	5	2.315	15	2.315	2.778
4 2	4	1.852	4	1.852	3	1.389	11	1.698	2.778
4 3	6	2.778	4	1.852	5	2.315	15	2.315	2.778
4 4	10	4.630	5	2.315	9	4.167	24	3.704	2.778
4 5	8	3.704	9	4.167	10	4.630	27	4.167	2.778
4 6	9	4.167	11	5.093	8	3.704	28	4.321	2.778
5 1	6	2.778	5	2.315	8	3.704	19	2.932	2.778
5 2	5	2.315	5	2.315	5	2.315	15	2.315	2.778
5 3	6	2.778	7	3.241	6	2.778	19	2.932	2.778
5 4	6	2.778	4	1.852	2	0.926	12	1.852	2.778
5 5	4	1.852	9	4.167	6	2.778	19	2.932	2.778
5 6	9	4.167	6	2.778	9	4.167	24	3.704	2.778
6 1	7	3.241	3	1.389	9	4.167	19	2.932	2.778
6 2	1	0.463	3	1.389	4	1.852	8	1.235	2.778
6 3	1	0.463	6	2.778	11	5.093	18	2.778	2.778
6 4	4	1.852	2	0.926	4	1.852	10	1.543	2.778
6 5	5	2.315	7	3.241	9	4.167	21	3.241	2.778
6 6	7	3.241	4	1.852	6	2.778	17	2.623	2.778

Consider as sum of pairs
	Red Blue		Red Green		Blue Green		Total		Theory
total	#	%	#	%	#	%	#	%	%
2	5	2.315	3	1.389	3	1.389	11	1.698	2.778
3	16	7.407	15	6.944	12	5.556	43	6.636	5.556
4	14	6.481	20	9.259	15	6.944	49	7.562	8.333
5	19	8.796	26	12.037	23	10.648	68	10.494	11.111
6	37	17.130	32	14.815	29	13.426	98	15.123	13.889
7	34	15.741	27	12.500	32	14.815	93	14.352	16.667
8	32	14.815	26	12.037	30	13.889	88	13.580	13.889
9	21	9.722	28	12.963	30	13.889	79	12.191	11.111
10	17	7.870	22	10.185	18	8.333	57	8.796	8.333
11	14	6.481	13	6.019	18	8.333	45	6.944	5.556
12	7	3.241	4	1.852	6	2.778	17	2.623	2.778