Pick 3 Sums Chart (Sum of Digits)

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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 "sum" of a Pick 3 combination is a simple addition of its three digits.  For example, the sum of 123 is 1 + 2 + 3, which of course is 6.  So in the charts below, you will find 123 among the combinations next to the sum of 6.

Some lotteries have added features to their Pick 3 games such as the ability to wager on the sum of the digits drawn.  Thus, you may find this sums chart useful when wagering with the sums option.

Below you can find a listing of all the possible sums from 0 to 27, first presented with all the straight combinations for each sum, and then with just the unique box combinations for each sum.

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Sums with Straight Combinations

"Quant" is the number of straight combinations for each sum.

Sum Quant Straight Combinations
0 1 000
1 3 001, 010, 100
2 6 002, 011, 020, 101, 110, 200
3 10 003, 012, 021, 030, 102, 111, 120, 201, 210, 300
4 15 004, 013, 022, 031, 040, 103, 112, 121, 130, 202, 211, 220, 301, 310, 400
5 21 005, 014, 023, 032, 041, 050, 104, 113, 122, 131, 140, 203, 212, 221, 230, 302, 311, 320, 401, 410, 500
6 28 006, 015, 024, 033, 042, 051, 060, 105, 114, 123, 132, 141, 150, 204, 213, 222, 231, 240, 303, 312, 321, 330, 402, 411, 420, 501, 510, 600
7 36 007, 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
8 45 008, 017, 026, 035, 044, 053, 062, 071, 080, 107, 116, 125, 134, 143, 152, 161, 170, 206, 215, 224, 233, 242, 251, 260, 305, 314, 323, 332, 341, 350, 404, 413, 422, 431, 440, 503, 512, 521, 530, 602, 611, 620, 701, 710, 800
9 55 009, 018, 027, 036, 045, 054, 063, 072, 081, 090, 108, 117, 126, 135, 144, 153, 162, 171, 180, 207, 216, 225, 234, 243, 252, 261, 270, 306, 315, 324, 333, 342, 351, 360, 405, 414, 423, 432, 441, 450, 504, 513, 522, 531, 540, 603, 612, 621, 630, 702, 711, 720, 801, 810, 900
10 63 019, 028, 037, 046, 055, 064, 073, 082, 091, 109, 118, 127, 136, 145, 154, 163, 172, 181, 190, 208, 217, 226, 235, 244, 253, 262, 271, 280, 307, 316, 325, 334, 343, 352, 361, 370, 406, 415, 424, 433, 442, 451, 460, 505, 514, 523, 532, 541, 550, 604, 613, 622, 631, 640, 703, 712, 721, 730, 802, 811, 820, 901, 910
11 69 029, 038, 047, 056, 065, 074, 083, 092, 119, 128, 137, 146, 155, 164, 173, 182, 191, 209, 218, 227, 236, 245, 254, 263, 272, 281, 290, 308, 317, 326, 335, 344, 353, 362, 371, 380, 407, 416, 425, 434, 443, 452, 461, 470, 506, 515, 524, 533, 542, 551, 560, 605, 614, 623, 632, 641, 650, 704, 713, 722, 731, 740, 803, 812, 821, 830, 902, 911, 920
12 73 039, 048, 057, 066, 075, 084, 093, 129, 138, 147, 156, 165, 174, 183, 192, 219, 228, 237, 246, 255, 264, 273, 282, 291, 309, 318, 327, 336, 345, 354, 363, 372, 381, 390, 408, 417, 426, 435, 444, 453, 462, 471, 480, 507, 516, 525, 534, 543, 552, 561, 570, 606, 615, 624, 633, 642, 651, 660, 705, 714, 723, 732, 741, 750, 804, 813, 822, 831, 840, 903, 912, 921, 930
13 75 049, 058, 067, 076, 085, 094, 139, 148, 157, 166, 175, 184, 193, 229, 238, 247, 256, 265, 274, 283, 292, 319, 328, 337, 346, 355, 364, 373, 382, 391, 409, 418, 427, 436, 445, 454, 463, 472, 481, 490, 508, 517, 526, 535, 544, 553, 562, 571, 580, 607, 616, 625, 634, 643, 652, 661, 670, 706, 715, 724, 733, 742, 751, 760, 805, 814, 823, 832, 841, 850, 904, 913, 922, 931, 940
14 75 059, 095, 509, 590, 905, 950, 068, 086, 608, 680, 806, 860, 149, 194, 419, 491, 914, 941, 158, 185, 518, 581, 815, 851, 167, 176, 617, 671, 716, 761, 239, 293, 329, 392, 923, 932, 248, 284, 428, 482, 824, 842, 257, 275, 527, 572, 725, 752, 347, 374, 437, 473, 734, 743, 356, 365, 536, 563, 635, 653, 077, 707, 770, 266, 626, 662, 338, 383, 833, 446, 464, 644, 455, 545, 554
15 73 069, 078, 087, 096, 159, 168, 177, 186, 195, 249, 258, 267, 276, 285, 294, 339, 348, 357, 366, 375, 384, 393, 429, 438, 447, 456, 465, 474, 483, 492, 519, 528, 537, 546, 555, 564, 573, 582, 591, 609, 618, 627, 636, 645, 654, 663, 672, 681, 690, 708, 717, 726, 735, 744, 753, 762, 771, 780, 807, 816, 825, 834, 843, 852, 861, 870, 906, 915, 924, 933, 942, 951, 960
16 69 079, 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
17 63 089, 098, 179, 188, 197, 269, 278, 287, 296, 359, 368, 377, 386, 395, 449, 458, 467, 476, 485, 494, 539, 548, 557, 566, 575, 584, 593, 629, 638, 647, 656, 665, 674, 683, 692, 719, 728, 737, 746, 755, 764, 773, 782, 791, 809, 818, 827, 836, 845, 854, 863, 872, 881, 890, 908, 917, 926, 935, 944, 953, 962, 971, 980
18 55 099, 189, 198, 279, 288, 297, 369, 378, 387, 396, 459, 468, 477, 486, 495, 549, 558, 567, 576, 585, 594, 639, 648, 657, 666, 675, 684, 693, 729, 738, 747, 756, 765, 774, 783, 792, 819, 828, 837, 846, 855, 864, 873, 882, 891, 909, 918, 927, 936, 945, 954, 963, 972, 981, 990
19 45 199, 289, 298, 379, 388, 397, 469, 478, 487, 496, 559, 568, 577, 586, 595, 649, 658, 667, 676, 685, 694, 739, 748, 757, 766, 775, 784, 793, 829, 838, 847, 856, 865, 874, 883, 892, 919, 928, 937, 946, 955, 964, 973, 982, 991
20 36 299, 389, 398, 479, 488, 497, 569, 578, 587, 596, 659, 668, 677, 686, 695, 749, 758, 767, 776, 785, 794, 839, 848, 857, 866, 875, 884, 893, 929, 938, 947, 956, 965, 974, 983, 992
21 28 399, 489, 498, 579, 588, 597, 669, 678, 687, 696, 759, 768, 777, 786, 795, 849, 858, 867, 876, 885, 894, 939, 948, 957, 966, 975, 984, 993
22 21 499, 589, 598, 679, 688, 697, 769, 778, 787, 796, 859, 868, 877, 886, 895, 949, 958, 967, 976, 985, 994
23 15 599, 689, 698, 779, 788, 797, 869, 878, 887, 896, 959, 968, 977, 986, 995
24 10 699, 789, 798, 879, 888, 897, 969, 978, 987, 996
25 6 799, 889, 898, 979, 988, 997
26 3 899, 989, 998
27 1 999

Sums with Box Combinations

"Quant" is the number of box combinations for each sum.

Sum Quant Box Combinations
0 1 000
1 1 001
2 2 002, 011
3 3 003, 012, 111
4 4 004, 013, 022, 112
5 5 005, 014, 023, 113, 122
6 7 006, 015, 024, 033, 114, 123, 222
7 8 007, 016, 025, 034, 115, 124, 133, 223
8 10 008, 017, 026, 035, 044, 116, 125, 134, 224, 233
9 12 009, 018, 027, 036, 045, 117, 126, 135, 144, 225, 234, 333
10 13 019, 028, 037, 046, 055, 118, 127, 136, 145, 226, 235, 244, 334
11 14 029, 038, 047, 056, 119, 128, 137, 146, 155, 227, 236, 245, 335, 344
12 15 039, 048, 057, 066, 129, 138, 147, 156, 228, 237, 246, 255, 336, 345, 444
13 15 049, 058, 067, 139, 148, 157, 166, 229, 238, 247, 256, 337, 346, 355, 445
14 15 059, 068, 077, 149, 158, 167, 239, 248, 257, 266, 338, 347, 356, 446, 455
15 15 069, 078, 159, 168, 177, 249, 258, 267, 339, 348, 357, 366, 447, 456, 555
16 14 079, 088, 169, 178, 259, 268, 277, 349, 358, 367, 448, 457, 466, 556
17 13 089, 179, 188, 269, 278, 359, 368, 377, 449, 458, 467, 557, 566
18 12 099, 189, 279, 288, 369, 378, 459, 468, 477, 558, 567, 666
19 10 199, 289, 379, 388, 469, 478, 559, 568, 577, 667
20 8 299, 389, 479, 488, 569, 578, 668, 677
21 7 399, 489, 579, 588, 669, 678, 777
22 5 499, 589, 679, 688, 778
23 4 599, 689, 779, 788
24 3 699, 789, 888
25 2 799, 889
26 1 899
27 1 999

Odds of Sum Being Drawn

The odds below reflect the odds of that a particular sum will be drawn during any given Pick 3 drawing.

Sum Odds of Sum Being Drawn
0 1 in 1,000
1 1 in 333
2 1 in 167
3 1 in 100
4 1 in 67
5 1 in 48
6 1 in 36
7 1 in 28
8 1 in 22
9 1 in 18
10 1 in 16
11 1 in 14
12 1 in 14
13 1 in 13
14 1 in 13
15 1 in 14
16 1 in 14
17 1 in 16
18 1 in 18
19 1 in 22
20 1 in 28
21 1 in 36
22 1 in 48
23 1 in 67
24 1 in 100
25 1 in 167
26 1 in 333
27 1 in 1,000