Talking "Root Sums" for pick 3
Introduction
Pick 3 games are known by a variety of names, including Cash 3, Play 3, Daily 3, Pick 3, Numbers, Daily Number, Daily Game, DC-3, Pega 3, and La Quotidienne 3, but they are all basically played in the same manner.
The "root sum" of a Pick 3 combination is an extension of the sums principle: an addition of a combination's three digits. However, unlike a regular sum, if the sum is more than one digit in length, the sum's digits are added — and added again if necessary — until the resulting sum is one digit in length.
For example, the root sum of 123 is 6. That is calculated by adding the three digits of the combination (1 + 2 + 3). Since the sum is one digit in length, we can stop right there.
In another example, the root sum of 757 is 1. That is calculated by adding the three digits of the combination (7 + 5 + 7) to get 19, which is more than one digit in length, so we need to keep going. We add the 1 + 9, and we get 10, which is still more than one digit in length. So we add the 1 + 0, and we get 1, which is one digit in length, so we have arrived at the root sum of 1.
Choosing numbers based on root sums is distinctly different from using regular sums because of the even distribution of numbers, unlike regular sums, which form a "bell curve" distribution of numbers. Root sums analysis tends to make biases more clearly apparent.
Below you can find a listing of all the possible root sums from 0 to 9, first presented with all the straight combinations for each root sum, and then with just the unique box combinations for each root sum.
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Root Sums with Box Combinations
"Quant" is the number of box combinations for each root sum.
| Root Sum | Quant | Box Combinations |
|---|---|---|
| 0 | 1 | 000 |
| 1 | 24 | 001, 019, 028, 037, 046, 055, 118, 127, 136, 145, 199, 226, 235, 244, 289, 334, 379, 388, 469, 478, 559, 568, 577, 667 |
| 2 | 24 | 002, 011, 029, 038, 047, 056, 119, 128, 137, 146, 155, 227, 236, 245, 299, 335, 344, 389, 479, 488, 569, 578, 668, 677 |
| 3 | 25 | 003, 012, 039, 048, 057, 066, 111, 129, 138, 147, 156, 228, 237, 246, 255, 336, 345, 399, 444, 489, 579, 588, 669, 678, 777 |
| 4 | 24 | 004, 013, 022, 049, 058, 067, 112, 139, 148, 157, 166, 229, 238, 247, 256, 337, 346, 355, 445, 499, 589, 679, 688, 778 |
| 5 | 24 | 005, 014, 023, 059, 068, 077, 113, 122, 149, 158, 167, 239, 248, 257, 266, 338, 347, 356, 446, 455, 599, 689, 779, 788 |
| 6 | 25 | 006, 015, 024, 033, 069, 078, 114, 123, 159, 168, 177, 222, 249, 258, 267, 339, 348, 357, 366, 447, 456, 555, 699, 789, 888 |
| 7 | 24 | 007, 016, 025, 034, 079, 088, 115, 124, 133, 169, 178, 223, 259, 268, 277, 349, 358, 367, 448, 457, 466, 556, 799, 889 |
| 8 | 24 | 008, 017, 026, 035, 044, 089, 116, 125, 134, 179, 188, 224, 233, 269, 278, 359, 368, 377, 449, 458, 467, 557, 566, 899 |
| 9 | 25 | 009, 018, 027, 036, 045, 099, 117, 126, 135, 144, 189, 225, 234, 279, 288, 333, 369, 378, 459, 468, 477, 558, 567, 666, 999 |
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Odds of Root Sum Being Drawn
The odds below reflect the approximate odds of that a particular root sum will be drawn during any given Pick 3 drawing.
| Root Sum | Odds of Root Sum Being Drawn |
|---|---|
| 0 | 1 in 1,000 |
| 1 | 1 in 9.01 |
| 2 | 1 in 9.01 |
| 3 | 1 in 9.01 |
| 4 | 1 in 9.01 |
| 5 | 1 in 9.01 |
| 6 | 1 in 9.01 |
| 7 | 1 in 9.01 |
| 8 | 1 in 9.01 |
| 9 | 1 in 9.01 |
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https://www.lotterypost.com/charts/pick3/rootsums
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|
7
|
133 475 268 898 025 754 106 538 727 502 925 538 286 421 097 592 961 268 070 016 655 232 979 907 709 187 871 574 052 979 457 655 502 574 997 070 142 817 736 853 322 475 556 349 286 340 862 745 142 907 583 (51) |
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Root sum 7 by sums!
| Sums: | ||||
| 7 | 36 | 32.4% | 007 016 025 034 043 052 061 070 106 115 124 133 142 151 160 205 214 223 232 241 250 304 313 322 331 340 403 412 421 430 502 511 520 601 610 700 | |
| 16 | 69 | 62.2% | 079 088 097 169 178 187 196 259 268 277 286 295 349 358 367 376 385 394 439 448 457 466 475 484 493 529 538 547 556 565 574 583 592 619 628 637 646 655 664 673 682 691 709 718 727 736 745 754 763 772 781 790 808 817 826 835 844 853 862 871 880 907 916 925 934 943 952 961 970 | |
| 25 | 6 | 5.4% | 799 889 898 979 988 997 | |
