Report of 46656 tosses of 3 dice

The following tables report the results of rolling three dice, one Red , one Blue , and one Green , 46656 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 7798 16.714 7725 16.557 7686 16.474 23209 16.582 16.667

2 7726 16.559 7776 16.667 7733 16.575 23235 16.600 16.667

3 7929 16.995 7746 16.602 7778 16.671 23453 16.756 16.667

4 7745 16.600 7736 16.581 7835 16.793 23316 16.658 16.667

5 7683 16.467 7792 16.701 7861 16.849 23336 16.672 16.667

6 7775 16.665 7881 16.892 7763 16.639 23419 16.732 16.667

Consider as raw pairs

Red Blue Red Green Blue Green Total Theory

values # % # % # % # % %

1 1 1274 2.731 1273 2.728 1299 2.784 3846 2.748 2.778

1 2 1300 2.786 1310 2.808 1256 2.692 3866 2.762 2.778

1 3 1275 2.733 1312 2.812 1325 2.840 3912 2.795 2.778

1 4 1314 2.816 1312 2.812 1314 2.816 3940 2.815 2.778

1 5 1328 2.846 1281 2.746 1254 2.688 3863 2.760 2.778

1 6 1307 2.801 1310 2.808 1277 2.737 3894 2.782 2.778

2 1 1297 2.780 1300 2.786 1274 2.731 3871 2.766 2.778

2 2 1273 2.728 1287 2.758 1336 2.864 3896 2.783 2.778

2 3 1246 2.671 1268 2.718 1282 2.748 3796 2.712 2.778

2 4 1282 2.748 1381 2.960 1298 2.782 3961 2.830 2.778

2 5 1280 2.743 1221 2.617 1278 2.739 3779 2.700 2.778

2 6 1348 2.889 1269 2.720 1308 2.803 3925 2.804 2.778

3 1 1372 2.941 1288 2.761 1281 2.746 3941 2.816 2.778

3 2 1322 2.834 1339 2.870 1291 2.767 3952 2.824 2.778

3 3 1335 2.861 1296 2.778 1245 2.668 3876 2.769 2.778

3 4 1264 2.709 1307 2.801 1298 2.782 3869 2.764 2.778

3 5 1309 2.806 1364 2.924 1358 2.911 4031 2.880 2.778

3 6 1327 2.844 1335 2.861 1273 2.728 3935 2.811 2.778

4 1 1267 2.716 1282 2.748 1298 2.782 3847 2.748 2.778

4 2 1216 2.606 1263 2.707 1214 2.602 3693 2.638 2.778

4 3 1342 2.876 1283 2.750 1286 2.756 3911 2.794 2.778

4 4 1333 2.857 1309 2.806 1282 2.748 3924 2.803 2.778

4 5 1306 2.799 1312 2.812 1346 2.885 3964 2.832 2.778

4 6 1281 2.746 1296 2.778 1310 2.808 3887 2.777 2.778

5 1 1242 2.662 1258 2.696 1218 2.611 3718 2.656 2.778

5 2 1291 2.767 1295 2.776 1325 2.840 3911 2.794 2.778

5 3 1293 2.771 1314 2.816 1292 2.769 3899 2.786 2.778

5 4 1269 2.720 1253 2.686 1325 2.840 3847 2.748 2.778

5 5 1255 2.690 1322 2.834 1336 2.864 3913 2.796 2.778

5 6 1333 2.857 1241 2.660 1296 2.778 3870 2.765 2.778

6 1 1273 2.728 1285 2.754 1316 2.821 3874 2.768 2.778

6 2 1374 2.945 1239 2.656 1311 2.810 3924 2.803 2.778

6 3 1255 2.690 1305 2.797 1348 2.889 3908 2.792 2.778

6 4 1274 2.731 1273 2.728 1318 2.825 3865 2.761 2.778

6 5 1314 2.816 1361 2.917 1289 2.763 3964 2.832 2.778

6 6 1285 2.754 1312 2.812 1299 2.784 3896 2.783 2.778

Consider as sum of pairs

Red Blue Red Green Blue Green Total Theory

total # % # % # % # % %

2 1274 2.731 1273 2.728 1299 2.784 3846 2.748 2.778

3 2597 5.566 2610 5.594 2530 5.423 7737 5.528 5.556

4 3920 8.402 3887 8.331 3942 8.449 11749 8.394 8.333

5 5149 11.036 5201 11.148 5185 11.113 15535 11.099 11.111

6 6403 13.724 6479 13.887 6229 13.351 19111 13.654 13.889

7 7757 16.626 7701 16.506 7780 16.675 23238 16.602 16.667

8 6657 14.268 6495 13.921 6551 14.041 19703 14.077 13.889

9 5157 11.053 5205 11.156 5292 11.343 15654 11.184 11.111

10 3810 8.166 3891 8.340 3964 8.496 11665 8.334 8.333

11 2647 5.673 2602 5.577 2585 5.541 7834 5.597 5.556

12 1285 2.754 1312 2.812 1299 2.784 3896 2.783 2.778

Consider as raw triplet
values	#	%	Theory %
1 1 1	213	0.4565	0.4630
1 1 2	201	0.4308	0.4630
1 1 3	220	0.4715	0.4630
1 1 4	215	0.4608	0.4630
1 1 5	208	0.4458	0.4630
1 1 6	217	0.4651	0.4630
1 2 1	214	0.4587	0.4630
1 2 2	224	0.4801	0.4630
1 2 3	207	0.4437	0.4630
1 2 4	231	0.4951	0.4630
1 2 5	212	0.4544	0.4630
1 2 6	212	0.4544	0.4630
1 3 1	182	0.3901	0.4630
1 3 2	234	0.5015	0.4630
1 3 3	207	0.4437	0.4630
1 3 4	205	0.4394	0.4630
1 3 5	229	0.4908	0.4630
1 3 6	218	0.4672	0.4630
1 4 1	213	0.4565	0.4630
1 4 2	198	0.4244	0.4630
1 4 3	231	0.4951	0.4630
1 4 4	212	0.4544	0.4630
1 4 5	232	0.4973	0.4630
1 4 6	228	0.4887	0.4630
1 5 1	224	0.4801	0.4630
1 5 2	242	0.5187	0.4630
1 5 3	227	0.4865	0.4630
1 5 4	208	0.4458	0.4630
1 5 5	183	0.3922	0.4630
1 5 6	244	0.5230	0.4630
1 6 1	227	0.4865	0.4630
1 6 2	211	0.4522	0.4630
1 6 3	220	0.4715	0.4630
1 6 4	241	0.5165	0.4630
1 6 5	217	0.4651	0.4630
1 6 6	191	0.4094	0.4630
2 1 1	229	0.4908	0.4630
2 1 2	210	0.4501	0.4630
2 1 3	217	0.4651	0.4630
2 1 4	249	0.5337	0.4630
2 1 5	196	0.4201	0.4630
2 1 6	196	0.4201	0.4630
2 2 1	210	0.4501	0.4630
2 2 2	226	0.4844	0.4630
2 2 3	207	0.4437	0.4630
2 2 4	223	0.4780	0.4630
2 2 5	209	0.4480	0.4630
2 2 6	198	0.4244	0.4630
2 3 1	206	0.4415	0.4630
2 3 2	204	0.4372	0.4630
2 3 3	197	0.4222	0.4630
2 3 4	209	0.4480	0.4630
2 3 5	200	0.4287	0.4630
2 3 6	230	0.4930	0.4630
2 4 1	217	0.4651	0.4630
2 4 2	204	0.4372	0.4630
2 4 3	198	0.4244	0.4630
2 4 4	222	0.4758	0.4630
2 4 5	222	0.4758	0.4630
2 4 6	219	0.4694	0.4630
2 5 1	211	0.4522	0.4630
2 5 2	207	0.4437	0.4630
2 5 3	220	0.4715	0.4630
2 5 4	232	0.4973	0.4630
2 5 5	209	0.4480	0.4630
2 5 6	201	0.4308	0.4630
2 6 1	227	0.4865	0.4630
2 6 2	236	0.5058	0.4630
2 6 3	229	0.4908	0.4630
2 6 4	246	0.5273	0.4630
2 6 5	185	0.3965	0.4630
2 6 6	225	0.4823	0.4630
3 1 1	223	0.4780	0.4630
3 1 2	234	0.5015	0.4630
3 1 3	226	0.4844	0.4630
3 1 4	231	0.4951	0.4630
3 1 5	217	0.4651	0.4630
3 1 6	241	0.5165	0.4630
3 2 1	206	0.4415	0.4630
3 2 2	230	0.4930	0.4630
3 2 3	224	0.4801	0.4630
3 2 4	209	0.4480	0.4630
3 2 5	212	0.4544	0.4630
3 2 6	241	0.5165	0.4630
3 3 1	215	0.4608	0.4630
3 3 2	230	0.4930	0.4630
3 3 3	202	0.4330	0.4630
3 3 4	230	0.4930	0.4630
3 3 5	246	0.5273	0.4630
3 3 6	212	0.4544	0.4630
3 4 1	212	0.4544	0.4630
3 4 2	213	0.4565	0.4630
3 4 3	214	0.4587	0.4630
3 4 4	207	0.4437	0.4630
3 4 5	208	0.4458	0.4630
3 4 6	210	0.4501	0.4630
3 5 1	187	0.4008	0.4630
3 5 2	211	0.4522	0.4630
3 5 3	209	0.4480	0.4630
3 5 4	217	0.4651	0.4630
3 5 5	246	0.5273	0.4630
3 5 6	239	0.5123	0.4630
3 6 1	245	0.5251	0.4630
3 6 2	221	0.4737	0.4630
3 6 3	221	0.4737	0.4630
3 6 4	213	0.4565	0.4630
3 6 5	235	0.5037	0.4630
3 6 6	192	0.4115	0.4630
4 1 1	214	0.4587	0.4630
4 1 2	222	0.4758	0.4630
4 1 3	203	0.4351	0.4630
4 1 4	221	0.4737	0.4630
4 1 5	206	0.4415	0.4630
4 1 6	201	0.4308	0.4630
4 2 1	211	0.4522	0.4630
4 2 2	209	0.4480	0.4630
4 2 3	204	0.4372	0.4630
4 2 4	198	0.4244	0.4630
4 2 5	183	0.3922	0.4630
4 2 6	211	0.4522	0.4630
4 3 1	245	0.5251	0.4630
4 3 2	210	0.4501	0.4630
4 3 3	221	0.4737	0.4630
4 3 4	229	0.4908	0.4630
4 3 5	225	0.4823	0.4630
4 3 6	212	0.4544	0.4630
4 4 1	229	0.4908	0.4630
4 4 2	197	0.4222	0.4630
4 4 3	235	0.5037	0.4630
4 4 4	212	0.4544	0.4630
4 4 5	243	0.5208	0.4630
4 4 6	217	0.4651	0.4630
4 5 1	194	0.4158	0.4630
4 5 2	230	0.4930	0.4630
4 5 3	197	0.4222	0.4630
4 5 4	245	0.5251	0.4630
4 5 5	235	0.5037	0.4630
4 5 6	205	0.4394	0.4630
4 6 1	189	0.4051	0.4630
4 6 2	195	0.4180	0.4630
4 6 3	223	0.4780	0.4630
4 6 4	204	0.4372	0.4630
4 6 5	220	0.4715	0.4630
4 6 6	250	0.5358	0.4630
5 1 1	199	0.4265	0.4630
5 1 2	178	0.3815	0.4630
5 1 3	241	0.5165	0.4630
5 1 4	186	0.3987	0.4630
5 1 5	212	0.4544	0.4630
5 1 6	226	0.4844	0.4630
5 2 1	221	0.4737	0.4630
5 2 2	212	0.4544	0.4630
5 2 3	231	0.4951	0.4630
5 2 4	205	0.4394	0.4630
5 2 5	228	0.4887	0.4630
5 2 6	194	0.4158	0.4630
5 3 1	226	0.4844	0.4630
5 3 2	219	0.4694	0.4630
5 3 3	192	0.4115	0.4630
5 3 4	217	0.4651	0.4630
5 3 5	222	0.4758	0.4630
5 3 6	217	0.4651	0.4630
5 4 1	197	0.4222	0.4630
5 4 2	203	0.4351	0.4630
5 4 3	212	0.4544	0.4630
5 4 4	229	0.4908	0.4630
5 4 5	210	0.4501	0.4630
5 4 6	218	0.4672	0.4630
5 5 1	188	0.4029	0.4630
5 5 2	245	0.5251	0.4630
5 5 3	206	0.4415	0.4630
5 5 4	212	0.4544	0.4630
5 5 5	227	0.4865	0.4630
5 5 6	177	0.3794	0.4630
5 6 1	227	0.4865	0.4630
5 6 2	238	0.5101	0.4630
5 6 3	232	0.4973	0.4630
5 6 4	204	0.4372	0.4630
5 6 5	223	0.4780	0.4630
5 6 6	209	0.4480	0.4630
6 1 1	221	0.4737	0.4630
6 1 2	211	0.4522	0.4630
6 1 3	218	0.4672	0.4630
6 1 4	212	0.4544	0.4630
6 1 5	215	0.4608	0.4630
6 1 6	196	0.4201	0.4630
6 2 1	212	0.4544	0.4630
6 2 2	235	0.5037	0.4630
6 2 3	209	0.4480	0.4630
6 2 4	232	0.4973	0.4630
6 2 5	234	0.5015	0.4630
6 2 6	252	0.5401	0.4630
6 3 1	207	0.4437	0.4630
6 3 2	194	0.4158	0.4630
6 3 3	226	0.4844	0.4630
6 3 4	208	0.4458	0.4630
6 3 5	236	0.5058	0.4630
6 3 6	184	0.3944	0.4630
6 4 1	230	0.4930	0.4630
6 4 2	199	0.4265	0.4630
6 4 3	196	0.4201	0.4630
6 4 4	200	0.4287	0.4630
6 4 5	231	0.4951	0.4630
6 4 6	218	0.4672	0.4630
6 5 1	214	0.4587	0.4630
6 5 2	190	0.4072	0.4630
6 5 3	233	0.4994	0.4630
6 5 4	211	0.4522	0.4630
6 5 5	236	0.5058	0.4630
6 5 6	230	0.4930	0.4630
6 6 1	201	0.4308	0.4630
6 6 2	210	0.4501	0.4630
6 6 3	223	0.4780	0.4630
6 6 4	210	0.4501	0.4630
6 6 5	209	0.4480	0.4630
6 6 6	232	0.4973	0.4630

Consider as the sum of all three
sum	#	%	Theory %
3	213	0.4565	0.4630
4	644	1.3803	1.3889
5	1269	2.7199	2.7778
6	2172	4.6553	4.6296
7	3248	6.9616	6.9444
8	4539	9.7287	9.7222
9	5331	11.4262	11.5741
10	5816	12.4657	12.5000
11	5801	12.4336	12.5000
12	5474	11.7327	11.5741
13	4483	9.6086	9.7222
14	3357	7.1952	6.9444
15	2115	4.5332	4.6296
16	1314	2.8164	2.7778
17	648	1.3889	1.3889
18	232	0.4973	0.4630

Considering single die
	Red		Blue		Green		Total		Theory
showing	#	%	#	%	#	%	#	%	%
1	7798	16.714	7725	16.557	7686	16.474	23209	16.582	16.667
2	7726	16.559	7776	16.667	7733	16.575	23235	16.600	16.667
3	7929	16.995	7746	16.602	7778	16.671	23453	16.756	16.667
4	7745	16.600	7736	16.581	7835	16.793	23316	16.658	16.667
5	7683	16.467	7792	16.701	7861	16.849	23336	16.672	16.667
6	7775	16.665	7881	16.892	7763	16.639	23419	16.732	16.667

Consider as raw pairs
	Red Blue		Red Green		Blue Green		Total		Theory
values	#	%	#	%	#	%	#	%	%
1 1	1274	2.731	1273	2.728	1299	2.784	3846	2.748	2.778
1 2	1300	2.786	1310	2.808	1256	2.692	3866	2.762	2.778
1 3	1275	2.733	1312	2.812	1325	2.840	3912	2.795	2.778
1 4	1314	2.816	1312	2.812	1314	2.816	3940	2.815	2.778
1 5	1328	2.846	1281	2.746	1254	2.688	3863	2.760	2.778
1 6	1307	2.801	1310	2.808	1277	2.737	3894	2.782	2.778
2 1	1297	2.780	1300	2.786	1274	2.731	3871	2.766	2.778
2 2	1273	2.728	1287	2.758	1336	2.864	3896	2.783	2.778
2 3	1246	2.671	1268	2.718	1282	2.748	3796	2.712	2.778
2 4	1282	2.748	1381	2.960	1298	2.782	3961	2.830	2.778
2 5	1280	2.743	1221	2.617	1278	2.739	3779	2.700	2.778
2 6	1348	2.889	1269	2.720	1308	2.803	3925	2.804	2.778
3 1	1372	2.941	1288	2.761	1281	2.746	3941	2.816	2.778
3 2	1322	2.834	1339	2.870	1291	2.767	3952	2.824	2.778
3 3	1335	2.861	1296	2.778	1245	2.668	3876	2.769	2.778
3 4	1264	2.709	1307	2.801	1298	2.782	3869	2.764	2.778
3 5	1309	2.806	1364	2.924	1358	2.911	4031	2.880	2.778
3 6	1327	2.844	1335	2.861	1273	2.728	3935	2.811	2.778
4 1	1267	2.716	1282	2.748	1298	2.782	3847	2.748	2.778
4 2	1216	2.606	1263	2.707	1214	2.602	3693	2.638	2.778
4 3	1342	2.876	1283	2.750	1286	2.756	3911	2.794	2.778
4 4	1333	2.857	1309	2.806	1282	2.748	3924	2.803	2.778
4 5	1306	2.799	1312	2.812	1346	2.885	3964	2.832	2.778
4 6	1281	2.746	1296	2.778	1310	2.808	3887	2.777	2.778
5 1	1242	2.662	1258	2.696	1218	2.611	3718	2.656	2.778
5 2	1291	2.767	1295	2.776	1325	2.840	3911	2.794	2.778
5 3	1293	2.771	1314	2.816	1292	2.769	3899	2.786	2.778
5 4	1269	2.720	1253	2.686	1325	2.840	3847	2.748	2.778
5 5	1255	2.690	1322	2.834	1336	2.864	3913	2.796	2.778
5 6	1333	2.857	1241	2.660	1296	2.778	3870	2.765	2.778
6 1	1273	2.728	1285	2.754	1316	2.821	3874	2.768	2.778
6 2	1374	2.945	1239	2.656	1311	2.810	3924	2.803	2.778
6 3	1255	2.690	1305	2.797	1348	2.889	3908	2.792	2.778
6 4	1274	2.731	1273	2.728	1318	2.825	3865	2.761	2.778
6 5	1314	2.816	1361	2.917	1289	2.763	3964	2.832	2.778
6 6	1285	2.754	1312	2.812	1299	2.784	3896	2.783	2.778

Consider as sum of pairs
	Red Blue		Red Green		Blue Green		Total		Theory
total	#	%	#	%	#	%	#	%	%
2	1274	2.731	1273	2.728	1299	2.784	3846	2.748	2.778
3	2597	5.566	2610	5.594	2530	5.423	7737	5.528	5.556
4	3920	8.402	3887	8.331	3942	8.449	11749	8.394	8.333
5	5149	11.036	5201	11.148	5185	11.113	15535	11.099	11.111
6	6403	13.724	6479	13.887	6229	13.351	19111	13.654	13.889
7	7757	16.626	7701	16.506	7780	16.675	23238	16.602	16.667
8	6657	14.268	6495	13.921	6551	14.041	19703	14.077	13.889
9	5157	11.053	5205	11.156	5292	11.343	15654	11.184	11.111
10	3810	8.166	3891	8.340	3964	8.496	11665	8.334	8.333
11	2647	5.673	2602	5.577	2585	5.541	7834	5.597	5.556
12	1285	2.754	1312	2.812	1299	2.784	3896	2.783	2.778