Report of 44 tosses of 3 dice

The following tables report the results of rolling three dice, one Red , one Blue , and one Green , 44 times. This page was produced by a run of the Perl script toss_die.pl (an alternate version is provided in a text file, toss_die.txt, which, if downloaded, will then need to be renamed with the .pl extension). 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 5 11.364 9 20.455 8 18.182 22 16.667 16.667

2 7 15.909 8 18.182 7 15.909 22 16.667 16.667

3 12 27.273 7 15.909 3 6.818 22 16.667 16.667

4 9 20.455 7 15.909 10 22.727 26 19.697 16.667

5 6 13.636 4 9.091 6 13.636 16 12.121 16.667

6 5 11.364 9 20.455 10 22.727 24 18.182 16.667

Consider as raw pairs

Red Blue Red Green Blue Green Total Theory

values # % # % # % # % %

1 1 0 0.000 0 0.000 2 4.545 2 1.515 2.778

1 2 2 4.545 0 0.000 2 4.545 4 3.030 2.778

1 3 1 2.273 1 2.273 0 0.000 2 1.515 2.778

1 4 0 0.000 1 2.273 1 2.273 2 1.515 2.778

1 5 1 2.273 0 0.000 2 4.545 3 2.273 2.778

1 6 1 2.273 3 6.818 2 4.545 6 4.545 2.778

2 1 2 4.545 2 4.545 2 4.545 6 4.545 2.778

2 2 2 4.545 1 2.273 2 4.545 5 3.788 2.778

2 3 1 2.273 0 0.000 0 0.000 1 0.758 2.778

2 4 0 0.000 3 6.818 3 6.818 6 4.545 2.778

2 5 0 0.000 0 0.000 0 0.000 0 0.000 2.778

2 6 2 4.545 1 2.273 1 2.273 4 3.030 2.778

3 1 1 2.273 2 4.545 1 2.273 4 3.030 2.778

3 2 2 4.545 1 2.273 0 0.000 3 2.273 2.778

3 3 2 4.545 0 0.000 1 2.273 3 2.273 2.778

3 4 3 6.818 4 9.091 2 4.545 9 6.818 2.778

3 5 0 0.000 2 4.545 1 2.273 3 2.273 2.778

3 6 4 9.091 3 6.818 2 4.545 9 6.818 2.778

4 1 4 9.091 2 4.545 1 2.273 7 5.303 2.778

4 2 0 0.000 3 6.818 0 0.000 3 2.273 2.778

4 3 1 2.273 0 0.000 0 0.000 1 0.758 2.778

4 4 1 2.273 0 0.000 3 6.818 4 3.030 2.778

4 5 2 4.545 1 2.273 1 2.273 4 3.030 2.778

4 6 1 2.273 3 6.818 2 4.545 6 4.545 2.778

5 1 1 2.273 2 4.545 1 2.273 4 3.030 2.778

5 2 2 4.545 1 2.273 1 2.273 4 3.030 2.778

5 3 1 2.273 1 2.273 2 4.545 4 3.030 2.778

5 4 1 2.273 0 0.000 0 0.000 1 0.758 2.778

5 5 0 0.000 2 4.545 0 0.000 2 1.515 2.778

5 6 1 2.273 0 0.000 0 0.000 1 0.758 2.778

6 1 1 2.273 0 0.000 1 2.273 2 1.515 2.778

6 2 0 0.000 1 2.273 2 4.545 3 2.273 2.778

6 3 1 2.273 1 2.273 0 0.000 2 1.515 2.778

6 4 2 4.545 2 4.545 1 2.273 5 3.788 2.778

6 5 1 2.273 1 2.273 2 4.545 4 3.030 2.778

6 6 0 0.000 0 0.000 3 6.818 3 2.273 2.778

Consider as sum of pairs

Red Blue Red Green Blue Green Total Theory

total # % # % # % # % %

2 0 0.000 0 0.000 2 4.545 2 1.515 2.778

3 4 9.091 2 4.545 4 9.091 10 7.576 5.556

4 4 9.091 4 9.091 3 6.818 11 8.333 8.333

5 7 15.909 4 9.091 2 4.545 13 9.848 11.111

6 4 9.091 8 18.182 7 15.909 19 14.394 13.889

7 8 18.182 8 18.182 6 13.636 22 16.667 16.667

8 4 9.091 5 11.364 9 20.455 18 13.636 13.889

9 8 18.182 5 11.364 3 6.818 16 12.121 11.111

10 3 6.818 7 15.909 3 6.818 13 9.848 8.333

11 2 4.545 1 2.273 2 4.545 5 3.788 5.556

12 0 0.000 0 0.000 3 6.818 3 2.273 2.778

Consider as raw triplet
values	#	%	Theory %
1 1 1	0	0.0000	0.4630
1 1 2	0	0.0000	0.4630
1 1 3	0	0.0000	0.4630
1 1 4	0	0.0000	0.4630
1 1 5	0	0.0000	0.4630
1 1 6	0	0.0000	0.4630
1 2 1	0	0.0000	0.4630
1 2 2	0	0.0000	0.4630
1 2 3	0	0.0000	0.4630
1 2 4	1	2.2727	0.4630
1 2 5	0	0.0000	0.4630
1 2 6	1	2.2727	0.4630
1 3 1	0	0.0000	0.4630
1 3 2	0	0.0000	0.4630
1 3 3	0	0.0000	0.4630
1 3 4	0	0.0000	0.4630
1 3 5	0	0.0000	0.4630
1 3 6	1	2.2727	0.4630
1 4 1	0	0.0000	0.4630
1 4 2	0	0.0000	0.4630
1 4 3	0	0.0000	0.4630
1 4 4	0	0.0000	0.4630
1 4 5	0	0.0000	0.4630
1 4 6	0	0.0000	0.4630
1 5 1	0	0.0000	0.4630
1 5 2	0	0.0000	0.4630
1 5 3	1	2.2727	0.4630
1 5 4	0	0.0000	0.4630
1 5 5	0	0.0000	0.4630
1 5 6	0	0.0000	0.4630
1 6 1	0	0.0000	0.4630
1 6 2	0	0.0000	0.4630
1 6 3	0	0.0000	0.4630
1 6 4	0	0.0000	0.4630
1 6 5	0	0.0000	0.4630
1 6 6	1	2.2727	0.4630
2 1 1	1	2.2727	0.4630
2 1 2	0	0.0000	0.4630
2 1 3	0	0.0000	0.4630
2 1 4	1	2.2727	0.4630
2 1 5	0	0.0000	0.4630
2 1 6	0	0.0000	0.4630
2 2 1	0	0.0000	0.4630
2 2 2	1	2.2727	0.4630
2 2 3	0	0.0000	0.4630
2 2 4	1	2.2727	0.4630
2 2 5	0	0.0000	0.4630
2 2 6	0	0.0000	0.4630
2 3 1	1	2.2727	0.4630
2 3 2	0	0.0000	0.4630
2 3 3	0	0.0000	0.4630
2 3 4	0	0.0000	0.4630
2 3 5	0	0.0000	0.4630
2 3 6	0	0.0000	0.4630
2 4 1	0	0.0000	0.4630
2 4 2	0	0.0000	0.4630
2 4 3	0	0.0000	0.4630
2 4 4	0	0.0000	0.4630
2 4 5	0	0.0000	0.4630
2 4 6	0	0.0000	0.4630
2 5 1	0	0.0000	0.4630
2 5 2	0	0.0000	0.4630
2 5 3	0	0.0000	0.4630
2 5 4	0	0.0000	0.4630
2 5 5	0	0.0000	0.4630
2 5 6	0	0.0000	0.4630
2 6 1	0	0.0000	0.4630
2 6 2	0	0.0000	0.4630
2 6 3	0	0.0000	0.4630
2 6 4	1	2.2727	0.4630
2 6 5	0	0.0000	0.4630
2 6 6	1	2.2727	0.4630
3 1 1	0	0.0000	0.4630
3 1 2	0	0.0000	0.4630
3 1 3	0	0.0000	0.4630
3 1 4	0	0.0000	0.4630
3 1 5	1	2.2727	0.4630
3 1 6	0	0.0000	0.4630
3 2 1	1	2.2727	0.4630
3 2 2	0	0.0000	0.4630
3 2 3	0	0.0000	0.4630
3 2 4	1	2.2727	0.4630
3 2 5	0	0.0000	0.4630
3 2 6	0	0.0000	0.4630
3 3 1	0	0.0000	0.4630
3 3 2	0	0.0000	0.4630
3 3 3	0	0.0000	0.4630
3 3 4	1	2.2727	0.4630
3 3 5	0	0.0000	0.4630
3 3 6	1	2.2727	0.4630
3 4 1	0	0.0000	0.4630
3 4 2	0	0.0000	0.4630
3 4 3	0	0.0000	0.4630
3 4 4	2	4.5455	0.4630
3 4 5	0	0.0000	0.4630
3 4 6	1	2.2727	0.4630
3 5 1	0	0.0000	0.4630
3 5 2	0	0.0000	0.4630
3 5 3	0	0.0000	0.4630
3 5 4	0	0.0000	0.4630
3 5 5	0	0.0000	0.4630
3 5 6	0	0.0000	0.4630
3 6 1	1	2.2727	0.4630
3 6 2	1	2.2727	0.4630
3 6 3	0	0.0000	0.4630
3 6 4	0	0.0000	0.4630
3 6 5	1	2.2727	0.4630
3 6 6	1	2.2727	0.4630
4 1 1	1	2.2727	0.4630
4 1 2	1	2.2727	0.4630
4 1 3	0	0.0000	0.4630
4 1 4	0	0.0000	0.4630
4 1 5	0	0.0000	0.4630
4 1 6	2	4.5455	0.4630
4 2 1	0	0.0000	0.4630
4 2 2	0	0.0000	0.4630
4 2 3	0	0.0000	0.4630
4 2 4	0	0.0000	0.4630
4 2 5	0	0.0000	0.4630
4 2 6	0	0.0000	0.4630
4 3 1	0	0.0000	0.4630
4 3 2	0	0.0000	0.4630
4 3 3	0	0.0000	0.4630
4 3 4	0	0.0000	0.4630
4 3 5	1	2.2727	0.4630
4 3 6	0	0.0000	0.4630
4 4 1	0	0.0000	0.4630
4 4 2	0	0.0000	0.4630
4 4 3	0	0.0000	0.4630
4 4 4	0	0.0000	0.4630
4 4 5	0	0.0000	0.4630
4 4 6	1	2.2727	0.4630
4 5 1	1	2.2727	0.4630
4 5 2	1	2.2727	0.4630
4 5 3	0	0.0000	0.4630
4 5 4	0	0.0000	0.4630
4 5 5	0	0.0000	0.4630
4 5 6	0	0.0000	0.4630
4 6 1	0	0.0000	0.4630
4 6 2	1	2.2727	0.4630
4 6 3	0	0.0000	0.4630
4 6 4	0	0.0000	0.4630
4 6 5	0	0.0000	0.4630
4 6 6	0	0.0000	0.4630
5 1 1	0	0.0000	0.4630
5 1 2	0	0.0000	0.4630
5 1 3	0	0.0000	0.4630
5 1 4	0	0.0000	0.4630
5 1 5	1	2.2727	0.4630
5 1 6	0	0.0000	0.4630
5 2 1	1	2.2727	0.4630
5 2 2	1	2.2727	0.4630
5 2 3	0	0.0000	0.4630
5 2 4	0	0.0000	0.4630
5 2 5	0	0.0000	0.4630
5 2 6	0	0.0000	0.4630
5 3 1	0	0.0000	0.4630
5 3 2	0	0.0000	0.4630
5 3 3	1	2.2727	0.4630
5 3 4	0	0.0000	0.4630
5 3 5	0	0.0000	0.4630
5 3 6	0	0.0000	0.4630
5 4 1	1	2.2727	0.4630
5 4 2	0	0.0000	0.4630
5 4 3	0	0.0000	0.4630
5 4 4	0	0.0000	0.4630
5 4 5	0	0.0000	0.4630
5 4 6	0	0.0000	0.4630
5 5 1	0	0.0000	0.4630
5 5 2	0	0.0000	0.4630
5 5 3	0	0.0000	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	0	0.0000	0.4630
5 6 2	0	0.0000	0.4630
5 6 3	0	0.0000	0.4630
5 6 4	0	0.0000	0.4630
5 6 5	1	2.2727	0.4630
5 6 6	0	0.0000	0.4630
6 1 1	0	0.0000	0.4630
6 1 2	1	2.2727	0.4630
6 1 3	0	0.0000	0.4630
6 1 4	0	0.0000	0.4630
6 1 5	0	0.0000	0.4630
6 1 6	0	0.0000	0.4630
6 2 1	0	0.0000	0.4630
6 2 2	0	0.0000	0.4630
6 2 3	0	0.0000	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	1	2.2727	0.4630
6 3 5	0	0.0000	0.4630
6 3 6	0	0.0000	0.4630
6 4 1	0	0.0000	0.4630
6 4 2	0	0.0000	0.4630
6 4 3	0	0.0000	0.4630
6 4 4	1	2.2727	0.4630
6 4 5	1	2.2727	0.4630
6 4 6	0	0.0000	0.4630
6 5 1	0	0.0000	0.4630
6 5 2	0	0.0000	0.4630
6 5 3	1	2.2727	0.4630
6 5 4	0	0.0000	0.4630
6 5 5	0	0.0000	0.4630
6 5 6	0	0.0000	0.4630
6 6 1	0	0.0000	0.4630
6 6 2	0	0.0000	0.4630
6 6 3	0	0.0000	0.4630
6 6 4	0	0.0000	0.4630
6 6 5	0	0.0000	0.4630
6 6 6	0	0.0000	0.4630

Consider as the sum of all three
sum	#	%	Theory %
3	0	0.0000	0.4630
4	1	2.2727	1.3889
5	0	0.0000	2.7778
6	4	9.0909	4.6296
7	3	6.8182	6.9444
8	2	4.5455	9.7222
9	6	13.6364	11.5741
10	5	11.3636	12.5000
11	8	18.1818	12.5000
12	4	9.0909	11.5741
13	3	6.8182	9.7222
14	5	11.3636	6.9444
15	2	4.5455	4.6296
16	1	2.2727	2.7778
17	0	0.0000	1.3889
18	0	0.0000	0.4630

Considering single die
	Red		Blue		Green		Total		Theory
showing	#	%	#	%	#	%	#	%	%
1	5	11.364	9	20.455	8	18.182	22	16.667	16.667
2	7	15.909	8	18.182	7	15.909	22	16.667	16.667
3	12	27.273	7	15.909	3	6.818	22	16.667	16.667
4	9	20.455	7	15.909	10	22.727	26	19.697	16.667
5	6	13.636	4	9.091	6	13.636	16	12.121	16.667
6	5	11.364	9	20.455	10	22.727	24	18.182	16.667

Consider as raw pairs
	Red Blue		Red Green		Blue Green		Total		Theory
values	#	%	#	%	#	%	#	%	%
1 1	0	0.000	0	0.000	2	4.545	2	1.515	2.778
1 2	2	4.545	0	0.000	2	4.545	4	3.030	2.778
1 3	1	2.273	1	2.273	0	0.000	2	1.515	2.778
1 4	0	0.000	1	2.273	1	2.273	2	1.515	2.778
1 5	1	2.273	0	0.000	2	4.545	3	2.273	2.778
1 6	1	2.273	3	6.818	2	4.545	6	4.545	2.778
2 1	2	4.545	2	4.545	2	4.545	6	4.545	2.778
2 2	2	4.545	1	2.273	2	4.545	5	3.788	2.778
2 3	1	2.273	0	0.000	0	0.000	1	0.758	2.778
2 4	0	0.000	3	6.818	3	6.818	6	4.545	2.778
2 5	0	0.000	0	0.000	0	0.000	0	0.000	2.778
2 6	2	4.545	1	2.273	1	2.273	4	3.030	2.778
3 1	1	2.273	2	4.545	1	2.273	4	3.030	2.778
3 2	2	4.545	1	2.273	0	0.000	3	2.273	2.778
3 3	2	4.545	0	0.000	1	2.273	3	2.273	2.778
3 4	3	6.818	4	9.091	2	4.545	9	6.818	2.778
3 5	0	0.000	2	4.545	1	2.273	3	2.273	2.778
3 6	4	9.091	3	6.818	2	4.545	9	6.818	2.778
4 1	4	9.091	2	4.545	1	2.273	7	5.303	2.778
4 2	0	0.000	3	6.818	0	0.000	3	2.273	2.778
4 3	1	2.273	0	0.000	0	0.000	1	0.758	2.778
4 4	1	2.273	0	0.000	3	6.818	4	3.030	2.778
4 5	2	4.545	1	2.273	1	2.273	4	3.030	2.778
4 6	1	2.273	3	6.818	2	4.545	6	4.545	2.778
5 1	1	2.273	2	4.545	1	2.273	4	3.030	2.778
5 2	2	4.545	1	2.273	1	2.273	4	3.030	2.778
5 3	1	2.273	1	2.273	2	4.545	4	3.030	2.778
5 4	1	2.273	0	0.000	0	0.000	1	0.758	2.778
5 5	0	0.000	2	4.545	0	0.000	2	1.515	2.778
5 6	1	2.273	0	0.000	0	0.000	1	0.758	2.778
6 1	1	2.273	0	0.000	1	2.273	2	1.515	2.778
6 2	0	0.000	1	2.273	2	4.545	3	2.273	2.778
6 3	1	2.273	1	2.273	0	0.000	2	1.515	2.778
6 4	2	4.545	2	4.545	1	2.273	5	3.788	2.778
6 5	1	2.273	1	2.273	2	4.545	4	3.030	2.778
6 6	0	0.000	0	0.000	3	6.818	3	2.273	2.778

Consider as sum of pairs
	Red Blue		Red Green		Blue Green		Total		Theory
total	#	%	#	%	#	%	#	%	%
2	0	0.000	0	0.000	2	4.545	2	1.515	2.778
3	4	9.091	2	4.545	4	9.091	10	7.576	5.556
4	4	9.091	4	9.091	3	6.818	11	8.333	8.333
5	7	15.909	4	9.091	2	4.545	13	9.848	11.111
6	4	9.091	8	18.182	7	15.909	19	14.394	13.889
7	8	18.182	8	18.182	6	13.636	22	16.667	16.667
8	4	9.091	5	11.364	9	20.455	18	13.636	13.889
9	8	18.182	5	11.364	3	6.818	16	12.121	11.111
10	3	6.818	7	15.909	3	6.818	13	9.848	8.333
11	2	4.545	1	2.273	2	4.545	5	3.788	5.556
12	0	0.000	0	0.000	3	6.818	3	2.273	2.778