Probability of 2 sets of 10 random digits with the same sum

What is the probability of 2 sets of 10 random digits, adding the individual digits together, having the same sum?

For example:

9876543210 = 1023456789


Thanks.

Do numbers which start with leading zeros count as ten digit numbers?

0001234567 for instance?

Look up number partitions on Mathworld or Wikipedia. You want the number of partitions of size <=10 for each sum between 0 and 90, subsequently multiplied by the number of permutations for each partition.

Approximately (330*pi)^-1/2 = 1/32.198 = 0.031?
(I used a Normal approximation, but without much care. This is a very GROSS approximation.)

Looks like a 10d10 dice sum problem
rolling 10, 10 sided dice with faces from 0 to 9

I would first expand the polynomial
(x^0+x^1+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9)^10
I bet ME can do this in his head.

or
Computed by Wolfram Mathematica
x^90+10 x^89+55 x^88+220 x^87+715 x^86+2002 x^85+5005 x^84+11440 x^83+24310 x^82+48620 x^81+92368 x^80+167860 x^79+293380 x^78+495220 x^77+810040 x^76+1287484 x^75+1992925 x^74+3010150 x^73+4443725 x^72+6420700 x^71+9091270 x^70+12628000 x^69+17223250 x^68+23084500 x^67+30427375 x^66+39466306 x^65+50402935 x^64+63412580 x^63+78629320 x^62+96130540 x^61+115921972 x^60+137924380 x^59+161963065 x^58+187761310 x^57+214938745 x^56+243015388 x^55+271421810 x^54+299515480 x^53+326602870 x^52+351966340 x^51+374894389 x^50+394713550 x^49+410820025 x^48+422709100 x^47+430000450 x^46+432457640 x^45+430000450 x^44+422709100 x^43+410820025 x^42+394713550 x^41+374894389 x^40+351966340 x^39+326602870 x^38+299515480 x^37+271421810 x^36+243015388 x^35+214938745 x^34+187761310 x^33+161963065 x^32+137924380 x^31+115921972 x^30+96130540 x^29+78629320 x^28+63412580 x^27+50402935 x^26+39466306 x^25+30427375 x^24+23084500 x^23+17223250 x^22+12628000 x^21+9091270 x^20+6420700 x^19+4443725 x^18+3010150 x^17+1992925 x^16+1287484 x^15+810040 x^14+495220 x^13+293380 x^12+167860 x^11+92368 x^10+48620 x^9+24310 x^8+11440 x^7+5005 x^6+2002 x^5+715 x^4+220 x^3+55 x^2+10 x+1

Wolfram|Alpha

now the total number ways to roll each sum (the coefficients or the # in front of each x)
can be tabulated, weighted and summed.
examples: 10 x = 10x^1 so 10 ways to get a sum of 1 (so 10 / 10^10 would be that probability. my head is starting to spin. more Valium)
55 x^2 = 55 ways to get a sum of 2 (55/10^10)
the +1 = 1x^0

let us know when you have an answer
and see how close it is to the one that used a Normal approximation

is this for a game you are thinking of developing?
whys the question?

you can also start with a smaller number of dice, maybe 3
(x^0+x^1+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9)^3 =
x^27+3 x^26+6 x^25+10 x^24+15 x^23+21 x^22+28 x^21+36 x^20+45 x^19+55 x^18+63 x^17+69 x^16+73 x^15+75 x^14+75 x^13+73 x^12+69 x^11+63 x^10+55 x^9+45 x^8+36 x^7+28 x^6+21 x^5+15 x^4+10 x^3+6 x^2+3 x+1

and the partition formulas may be a short cut to use, maybe not

Sally

About 3.1%?

Ok, the reason I originally asked was to see what the odds two telephone numbers adding up to the same amount. So with that restriction, the first number would have to start with at least a 2 (I don't think any area codes start with the digit 1).

No area codes start with 1 or 0. So you're range bound from 2-9 on the first digit. But, also, the second digit is VERY skewed towards 0 and 1 (the original set of area codes are X0X and X1X formats, 212 for manhattan, 202 for DC, 610 for Philly, 612 for minneapolis, 303 for Denver, etc.) So you don't quite have random numbers if you're dealing with phone numbers.

Here is a nifty way to solve this problem. All you need is a blank spreadsheet.

The following table shows the number of ways to sum each total with 1 to 10 digits. Except for the case of one digit, note how the total in any grid is the sum of the ten totals one column to the left, starting in the same row, and going up 9 more. If this causes you to go above the table, just assume zeros for the other numbers. For example, the number of ways to roll 50 with 5 dice is the sum of the ways to roll 41 to 50 with 4 dice. This should be intuitive, if you think about it.

Total	1	2	3	4	5	6	7	8	9	10
0	1	1	1	1	1	1	1	1	1	1
1	1	2	3	4	5	6	7	8	9	10
2	1	3	6	10	15	21	28	36	45	55
3	1	4	10	20	35	56	84	120	165	220
4	1	5	15	35	70	126	210	330	495	715
5	1	6	21	56	126	252	462	792	1287	2002
6	1	7	28	84	210	462	924	1716	3003	5005
7	1	8	36	120	330	792	1716	3432	6435	11440
8	1	9	45	165	495	1287	3003	6435	12870	24310
9	1	10	55	220	715	2002	5005	11440	24310	48620
10		9	63	282	996	2997	8001	19440	43749	92368
11		8	69	348	1340	4332	12327	31760	75501	167860
12		7	73	415	1745	6062	18368	50100	125565	293380
13		6	75	480	2205	8232	26544	76560	202005	495220
14		5	75	540	2710	10872	37290	113640	315315	810040
15		4	73	592	3246	13992	51030	164208	478731	1287484
16		3	69	633	3795	17577	68145	231429	708444	1992925
17		2	63	660	4335	21582	88935	318648	1023660	3010150
18		1	55	670	4840	25927	113575	429220	1446445	4443725
19		0	45	660	5280	30492	142065	566280	2001285	6420700
20		0	36	633	5631	35127	174195	732474	2714319	9091270
21		0	28	592	5875	39662	209525	929672	3612231	12628000
22		0	21	540	6000	43917	247380	1158684	4720815	17223250
23		0	15	480	6000	47712	286860	1419000	6063255	23084500
24		0	10	415	5875	50877	326865	1708575	7658190	30427375
25		0	6	348	5631	53262	366135	2023680	9517662	39466306
26		0	3	282	5280	54747	403305	2358840	11645073	50402935
27		0	1	220	4840	55252	436975	2706880	14033305	63412580
28		0	0	165	4335	54747	465795	3059100	16663185	78629320
29		0	0	120	3795	53262	488565	3405600	19502505	96130540
30		0	0	84	3246	50877	504315	3735720	22505751	115921972
31		0	0	56	2710	47712	512365	4038560	25614639	137924380
32		0	0	35	2205	43917	512365	4303545	28759500	161963065
33		0	0	20	1745	39662	504315	4521000	31861500	187761310
34		0	0	10	1340	35127	488565	4682700	34835625	214938745
35		0	0	4	996	30492	465795	4782360	37594305	243015388
36		0	0	1	715	25927	436975	4816030	40051495	271421810
37		0	0	0	495	21582	403305	4782360	42126975	299515480
38		0	0	0	330	17577	366135	4682700	43750575	326602870
39		0	0	0	210	13992	326865	4521000	44865975	351966340
40		0	0	0	126	10872	286860	4303545	45433800	374894389
41		0	0	0	70	8232	247380	4038560	45433800	394713550
42		0	0	0	35	6062	209525	3735720	44865975	410820025
43		0	0	0	15	4332	174195	3405600	43750575	422709100
44		0	0	0	5	2997	142065	3059100	42126975	430000450
45		0	0	0	1	2002	113575	2706880	40051495	432457640
46		0	0	0	0	1287	88935	2358840	37594305	430000450
47		0	0	0	0	792	68145	2023680	34835625	422709100
48		0	0	0	0	462	51030	1708575	31861500	410820025
49		0	0	0	0	252	37290	1419000	28759500	394713550
50		0	0	0	0	126	26544	1158684	25614639	374894389
51		0	0	0	0	56	18368	929672	22505751	351966340
52		0	0	0	0	21	12327	732474	19502505	326602870
53		0	0	0	0	6	8001	566280	16663185	299515480
54		0	0	0	0	1	5005	429220	14033305	271421810
55		0	0	0	0	0	3003	318648	11645073	243015388
56		0	0	0	0	0	1716	231429	9517662	214938745
57		0	0	0	0	0	924	164208	7658190	187761310
58		0	0	0	0	0	462	113640	6063255	161963065
59		0	0	0	0	0	210	76560	4720815	137924380
60		0	0	0	0	0	84	50100	3612231	115921972
61		0	0	0	0	0	28	31760	2714319	96130540
62		0	0	0	0	0	7	19440	2001285	78629320
63		0	0	0	0	0	1	11440	1446445	63412580
64		0	0	0	0	0	0	6435	1023660	50402935
65		0	0	0	0	0	0	3432	708444	39466306
66		0	0	0	0	0	0	1716	478731	30427375
67		0	0	0	0	0	0	792	315315	23084500
68		0	0	0	0	0	0	330	202005	17223250
69		0	0	0	0	0	0	120	125565	12628000
70		0	0	0	0	0	0	36	75501	9091270
71		0	0	0	0	0	0	8	43749	6420700
72		0	0	0	0	0	0	1	24310	4443725
73		0	0	0	0	0	0	0	12870	3010150
74		0	0	0	0	0	0	0	6435	1992925
75		0	0	0	0	0	0	0	3003	1287484
76		0	0	0	0	0	0	0	1287	810040
77		0	0	0	0	0	0	0	495	495220
78		0	0	0	0	0	0	0	165	293380
79		0	0	0	0	0	0	0	45	167860
80		0	0	0	0	0	0	0	9	92368
81		0	0	0	0	0	0	0	1	48620
82		0	0	0	0	0	0	0	0	24310
83		0	0	0	0	0	0	0	0	11440
84		0	0	0	0	0	0	0	0	5005
85		0	0	0	0	0	0	0	0	2002
86		0	0	0	0	0	0	0	0	715
87		0	0	0	0	0	0	0	0	220
88		0	0	0	0	0	0	0	0	55
89		0	0	0	0	0	0	0	0	10
90		0	0	0	0	0	0	0	0	1

With the combinations for 10 dice you can get the probability for easily, as follows.

Total	Combinations	Pr (one number)	Pr (two numbers)
0	1	0.0000000001	0.0000000000
1	10	0.0000000010	0.0000000000
2	55	0.0000000055	0.0000000000
3	220	0.0000000220	0.0000000000
4	715	0.0000000715	0.0000000000
5	2002	0.0000002002	0.0000000000
6	5005	0.0000005005	0.0000000000
7	11440	0.0000011440	0.0000000000
8	24310	0.0000024310	0.0000000000
9	48620	0.0000048620	0.0000000000
10	92368	0.0000092368	0.0000000001
11	167860	0.0000167860	0.0000000003
12	293380	0.0000293380	0.0000000009
13	495220	0.0000495220	0.0000000025
14	810040	0.0000810040	0.0000000066
15	1287484	0.0001287484	0.0000000166
16	1992925	0.0001992925	0.0000000397
17	3010150	0.0003010150	0.0000000906
18	4443725	0.0004443725	0.0000001975
19	6420700	0.0006420700	0.0000004123
20	9091270	0.0009091270	0.0000008265
21	12628000	0.0012628000	0.0000015947
22	17223250	0.0017223250	0.0000029664
23	23084500	0.0023084500	0.0000053289
24	30427375	0.0030427375	0.0000092583
25	39466306	0.0039466306	0.0000155759
26	50402935	0.0050402935	0.0000254046
27	63412580	0.0063412580	0.0000402116
28	78629320	0.0078629320	0.0000618257
29	96130540	0.0096130540	0.0000924108
30	115921972	0.0115921972	0.0001343790
31	137924380	0.0137924380	0.0001902313
32	161963065	0.0161963065	0.0002623203
33	187761310	0.0187761310	0.0003525431
34	214938745	0.0214938745	0.0004619866
35	243015388	0.0243015388	0.0005905648
36	271421810	0.0271421810	0.0007366980
37	299515480	0.0299515480	0.0008970952
38	326602870	0.0326602870	0.0010666943
39	351966340	0.0351966340	0.0012388030
40	374894389	0.0374894389	0.0014054580
41	394713550	0.0394713550	0.0015579879
42	410820025	0.0410820025	0.0016877309
43	422709100	0.0422709100	0.0017868298
44	430000450	0.0430000450	0.0018490039
45	432457640	0.0432457640	0.0018701961
46	430000450	0.0430000450	0.0018490039
47	422709100	0.0422709100	0.0017868298
48	410820025	0.0410820025	0.0016877309
49	394713550	0.0394713550	0.0015579879
50	374894389	0.0374894389	0.0014054580
51	351966340	0.0351966340	0.0012388030
52	326602870	0.0326602870	0.0010666943
53	299515480	0.0299515480	0.0008970952
54	271421810	0.0271421810	0.0007366980
55	243015388	0.0243015388	0.0005905648
56	214938745	0.0214938745	0.0004619866
57	187761310	0.0187761310	0.0003525431
58	161963065	0.0161963065	0.0002623203
59	137924380	0.0137924380	0.0001902313
60	115921972	0.0115921972	0.0001343790
61	96130540	0.0096130540	0.0000924108
62	78629320	0.0078629320	0.0000618257
63	63412580	0.0063412580	0.0000402116
64	50402935	0.0050402935	0.0000254046
65	39466306	0.0039466306	0.0000155759
66	30427375	0.0030427375	0.0000092583
67	23084500	0.0023084500	0.0000053289
68	17223250	0.0017223250	0.0000029664
69	12628000	0.0012628000	0.0000015947
70	9091270	0.0009091270	0.0000008265
71	6420700	0.0006420700	0.0000004123
72	4443725	0.0004443725	0.0000001975
73	3010150	0.0003010150	0.0000000906
74	1992925	0.0001992925	0.0000000397
75	1287484	0.0001287484	0.0000000166
76	810040	0.0000810040	0.0000000066
77	495220	0.0000495220	0.0000000025
78	293380	0.0000293380	0.0000000009
79	167860	0.0000167860	0.0000000003
80	92368	0.0000092368	0.0000000001
81	48620	0.0000048620	0.0000000000
82	24310	0.0000024310	0.0000000000
83	11440	0.0000011440	0.0000000000
84	5005	0.0000005005	0.0000000000
85	2002	0.0000002002	0.0000000000
86	715	0.0000000715	0.0000000000
87	220	0.0000000220	0.0000000000
88	55	0.0000000055	0.0000000000
89	10	0.0000000010	0.0000000000
90	1	0.0000000001	0.0000000000
Total	10000000000	1.0000000000	0.0308191892

The answer is in the bottom right cell, 3.08%.

Quote: Wizard

Here is a nifty way to solve this problem. All you need is a blank spreadsheet.

The following table shows the number of ways to sum each total with 1 to 10 digits. Except for the case of one digit, note how the total in any grid is the sum of the ten totals one column to the left, starting in the same row, and going up 9 more. If this causes you to go above the table, just assume zeros for the other numbers. For example, the number of ways to roll 50 with 5 dice is the sum of the ways to roll 41 to 50 with 4 dice. This should be intuitive, if you think about it.

Total	1	2	3	4	5	6	7	8	9	10
0	1	1	1	1	1	1	1	1	1	1
1	1	2	3	4	5	6	7	8	9	10
2	1	3	6	10	15	21	28	36	45	55
3	1	4	10	20	35	56	84	120	165	220
4	1	5	15	35	70	126	210	330	495	715
5	1	6	21	56	126	252	462	792	1287	2002
6	1	7	28	84	210	462	924	1716	3003	5005
7	1	8	36	120	330	792	1716	3432	6435	11440
8	1	9	45	165	495	1287	3003	6435	12870	24310
9	1	10	55	220	715	2002	5005	11440	24310	48620
10		9	63	282	996	2997	8001	19440	43749	92368
11		8	69	348	1340	4332	12327	31760	75501	167860
12		7	73	415	1745	6062	18368	50100	125565	293380
13		6	75	480	2205	8232	26544	76560	202005	495220
14		5	75	540	2710	10872	37290	113640	315315	810040
15		4	73	592	3246	13992	51030	164208	478731	1287484
16		3	69	633	3795	17577	68145	231429	708444	1992925
17		2	63	660	4335	21582	88935	318648	1023660	3010150
18		1	55	670	4840	25927	113575	429220	1446445	4443725
19		0	45	660	5280	30492	142065	566280	2001285	6420700
20		0	36	633	5631	35127	174195	732474	2714319	9091270
21		0	28	592	5875	39662	209525	929672	3612231	12628000
22		0	21	540	6000	43917	247380	1158684	4720815	17223250
23		0	15	480	6000	47712	286860	1419000	6063255	23084500
24		0	10	415	5875	50877	326865	1708575	7658190	30427375
25		0	6	348	5631	53262	366135	2023680	9517662	39466306
26		0	3	282	5280	54747	403305	2358840	11645073	50402935
27		0	1	220	4840	55252	436975	2706880	14033305	63412580
28		0	0	165	4335	54747	465795	3059100	16663185	78629320
29		0	0	120	3795	53262	488565	3405600	19502505	96130540
30		0	0	84	3246	50877	504315	3735720	22505751	115921972
31		0	0	56	2710	47712	512365	4038560	25614639	137924380
32		0	0	35	2205	43917	512365	4303545	28759500	161963065
33		0	0	20	1745	39662	504315	4521000	31861500	187761310
34		0	0	10	1340	35127	488565	4682700	34835625	214938745
35		0	0	4	996	30492	465795	4782360	37594305	243015388
36		0	0	1	715	25927	436975	4816030	40051495	271421810
37		0	0	0	495	21582	403305	4782360	42126975	299515480
38		0	0	0	330	17577	366135	4682700	43750575	326602870
39		0	0	0	210	13992	326865	4521000	44865975	351966340
40		0	0	0	126	10872	286860	4303545	45433800	374894389
41		0	0	0	70	8232	247380	4038560	45433800	394713550
42		0	0	0	35	6062	209525	3735720	44865975	410820025
43		0	0	0	15	4332	174195	3405600	43750575	422709100
44		0	0	0	5	2997	142065	3059100	42126975	430000450
45		0	0	0	1	2002	113575	2706880	40051495	432457640
46		0	0	0	0	1287	88935	2358840	37594305	430000450
47		0	0	0	0	792	68145	2023680	34835625	422709100
48		0	0	0	0	462	51030	1708575	31861500	410820025
49		0	0	0	0	252	37290	1419000	28759500	394713550
50		0	0	0	0	126	26544	1158684	25614639	374894389
51		0	0	0	0	56	18368	929672	22505751	351966340
52		0	0	0	0	21	12327	732474	19502505	326602870
53		0	0	0	0	6	8001	566280	16663185	299515480
54		0	0	0	0	1	5005	429220	14033305	271421810
55		0	0	0	0	0	3003	318648	11645073	243015388
56		0	0	0	0	0	1716	231429	9517662	214938745
57		0	0	0	0	0	924	164208	7658190	187761310
58		0	0	0	0	0	462	113640	6063255	161963065
59		0	0	0	0	0	210	76560	4720815	137924380
60		0	0	0	0	0	84	50100	3612231	115921972
61		0	0	0	0	0	28	31760	2714319	96130540
62		0	0	0	0	0	7	19440	2001285	78629320
63		0	0	0	0	0	1	11440	1446445	63412580
64		0	0	0	0	0	0	6435	1023660	50402935
65		0	0	0	0	0	0	3432	708444	39466306
66		0	0	0	0	0	0	1716	478731	30427375
67		0	0	0	0	0	0	792	315315	23084500
68		0	0	0	0	0	0	330	202005	17223250
69		0	0	0	0	0	0	120	125565	12628000
70		0	0	0	0	0	0	36	75501	9091270
71		0	0	0	0	0	0	8	43749	6420700
72		0	0	0	0	0	0	1	24310	4443725
73		0	0	0	0	0	0	0	12870	3010150
74		0	0	0	0	0	0	0	6435	1992925
75		0	0	0	0	0	0	0	3003	1287484
76		0	0	0	0	0	0	0	1287	810040
77		0	0	0	0	0	0	0	495	495220
78		0	0	0	0	0	0	0	165	293380
79		0	0	0	0	0	0	0	45	167860
80		0	0	0	0	0	0	0	9	92368
81		0	0	0	0	0	0	0	1	48620
82		0	0	0	0	0	0	0	0	24310
83		0	0	0	0	0	0	0	0	11440
84		0	0	0	0	0	0	0	0	5005
85		0	0	0	0	0	0	0	0	2002
86		0	0	0	0	0	0	0	0	715
87		0	0	0	0	0	0	0	0	220
88		0	0	0	0	0	0	0	0	55
89		0	0	0	0	0	0	0	0	10
90		0	0	0	0	0	0	0	0	1

With the combinations for 10 dice you can get the probability for easily, as follows.

Total	Combinations	Pr (one number)	Pr (two numbers)
0	1	0.0000000001	0.0000000000
1	10	0.0000000010	0.0000000000
2	55	0.0000000055	0.0000000000
3	220	0.0000000220	0.0000000000
4	715	0.0000000715	0.0000000000
5	2002	0.0000002002	0.0000000000
6	5005	0.0000005005	0.0000000000
7	11440	0.0000011440	0.0000000000
8	24310	0.0000024310	0.0000000000
9	48620	0.0000048620	0.0000000000
10	92368	0.0000092368	0.0000000001
11	167860	0.0000167860	0.0000000003
12	293380	0.0000293380	0.0000000009
13	495220	0.0000495220	0.0000000025
14	810040	0.0000810040	0.0000000066
15	1287484	0.0001287484	0.0000000166
16	1992925	0.0001992925	0.0000000397
17	3010150	0.0003010150	0.0000000906
18	4443725	0.0004443725	0.0000001975
19	6420700	0.0006420700	0.0000004123
20	9091270	0.0009091270	0.0000008265
21	12628000	0.0012628000	0.0000015947
22	17223250	0.0017223250	0.0000029664
23	23084500	0.0023084500	0.0000053289
24	30427375	0.0030427375	0.0000092583
25	39466306	0.0039466306	0.0000155759
26	50402935	0.0050402935	0.0000254046
27	63412580	0.0063412580	0.0000402116
28	78629320	0.0078629320	0.0000618257
29	96130540	0.0096130540	0.0000924108
30	115921972	0.0115921972	0.0001343790
31	137924380	0.0137924380	0.0001902313
32	161963065	0.0161963065	0.0002623203
33	187761310	0.0187761310	0.0003525431
34	214938745	0.0214938745	0.0004619866
35	243015388	0.0243015388	0.0005905648
36	271421810	0.0271421810	0.0007366980
37	299515480	0.0299515480	0.0008970952
38	326602870	0.0326602870	0.0010666943
39	351966340	0.0351966340	0.0012388030
40	374894389	0.0374894389	0.0014054580
41	394713550	0.0394713550	0.0015579879
42	410820025	0.0410820025	0.0016877309
43	422709100	0.0422709100	0.0017868298
44	430000450	0.0430000450	0.0018490039
45	432457640	0.0432457640	0.0018701961
46	430000450	0.0430000450	0.0018490039
47	422709100	0.0422709100	0.0017868298
48	410820025	0.0410820025	0.0016877309
49	394713550	0.0394713550	0.0015579879
50	374894389	0.0374894389	0.0014054580
51	351966340	0.0351966340	0.0012388030
52	326602870	0.0326602870	0.0010666943
53	299515480	0.0299515480	0.0008970952
54	271421810	0.0271421810	0.0007366980
55	243015388	0.0243015388	0.0005905648
56	214938745	0.0214938745	0.0004619866
57	187761310	0.0187761310	0.0003525431
58	161963065	0.0161963065	0.0002623203
59	137924380	0.0137924380	0.0001902313
60	115921972	0.0115921972	0.0001343790
61	96130540	0.0096130540	0.0000924108
62	78629320	0.0078629320	0.0000618257
63	63412580	0.0063412580	0.0000402116
64	50402935	0.0050402935	0.0000254046
65	39466306	0.0039466306	0.0000155759
66	30427375	0.0030427375	0.0000092583
67	23084500	0.0023084500	0.0000053289
68	17223250	0.0017223250	0.0000029664
69	12628000	0.0012628000	0.0000015947
70	9091270	0.0009091270	0.0000008265
71	6420700	0.0006420700	0.0000004123
72	4443725	0.0004443725	0.0000001975
73	3010150	0.0003010150	0.0000000906
74	1992925	0.0001992925	0.0000000397
75	1287484	0.0001287484	0.0000000166
76	810040	0.0000810040	0.0000000066
77	495220	0.0000495220	0.0000000025
78	293380	0.0000293380	0.0000000009
79	167860	0.0000167860	0.0000000003
80	92368	0.0000092368	0.0000000001
81	48620	0.0000048620	0.0000000000
82	24310	0.0000024310	0.0000000000
83	11440	0.0000011440	0.0000000000
84	5005	0.0000005005	0.0000000000
85	2002	0.0000002002	0.0000000000
86	715	0.0000000715	0.0000000000
87	220	0.0000000220	0.0000000000
88	55	0.0000000055	0.0000000000
89	10	0.0000000010	0.0000000000
90	1	0.0000000001	0.0000000000
Total	10000000000	1.0000000000	0.0308191892

The answer is in the bottom right cell, 3.08%.

This is an OT question but pertains to formatting. The thought of typing all the dat code needed to do these tables makes my head hurt, and for you, this is a small couple of tables. Do you have some intermediate program that you cut-and-paste this kind of thing from that carries over the formatting in code compatible to this site? Or are you hand-entering each row and associated formatting code?

Quote: beachbumbabs

This is an OT question but pertains to formatting. The thought of typing all the dat code needed to do these tables makes my head hurt, and for you, this is a small couple of tables. Do you have some intermediate program that you cut-and-paste this kind of thing from that carries over the formatting in code compatible to this site? Or are you hand-entering each row and associated formatting code?

I use my own. Feel free to use it. It just works with tab delimited text.
http://miplet.net/table/index.php

Quote: beachbumbabs

This is an OT question but pertains to formatting. The thought of typing all the dat code needed to do these tables makes my head hurt, and for you, this is a small couple of tables. Do you have some intermediate program that you cut-and-paste this kind of thing from that carries over the formatting in code compatible to this site? Or are you hand-entering each row and associated formatting code?

miplet's script is much easier, but when I've done it I usually insert a column between each data point and can copy/paste [/dat][dat] into the new column, then copy the entire block.

Quote: miplet

I use my own. Feel free to use it. It just works with tab delimited text.
http://miplet.net/table/index.php

Oh, SWEET!! Thanks, miplet! :D