Boxes (any arrangement of the digits) data for Arizona Lottery Pick 3 game. Frequency and last draw of non-repeating, doubles, and triples are listed.

# Arizona Lottery Pick 3 Boxes(numbers in any order) Data

 Data updated on Saturday, December 07, 2013 When playing Pick 3 boxes and combos, the order in which the number is drawn doesn't matter. For this reason, the number of all possible combinations of boxes is much less the 1000 possible permutations of straights. In fact, there are only 210 possible combinations of boxes, and adding the 10 triples, we have a total of 220 numbers that will cover all the possibilities. It follows that the chance of winning with a box or a combo play is obviously higher than the chance of winning with a straight play. On this page...

## The Chance of Winning with a Arizona Lottery Pick 3 box (any order).

Since there are 220 possible outcomes, one may be tempted to conclude that the chance winning in a Pick 3 box is 1 in 220. This is not exactly true since not all boxes have equal chances of winning; numbers with non-repeating digits have a better chance of winning than numbers with one digit repeated. For example, the number 123 has a better chance of winning than the number 122. The reason is that 123 covers six possible combinations (123, 132, 213, 231, 312, 321), while 122 covers only three (122, 212, 221).

Consequently, we shall classify all the Pick 3 numbers into three categories, namely, Non-repeating numbers, Doubles (one-repeat) numbers, and Triples. Very often, non-repeat and one-repeat boxes are referred to as 6-way and 3-way boxes (or combos), respectively.

Of the 1000 Pick 3 numbers 720 are non-repeat, 270 one-repeat, and 10 triples. This means that out of 100 draws, we should theoretically expect 72 non-repeat numbers (72%), 27 one-repeats (27%), and 1 triple (1%). The chance of winning with a non-repeat box (or combo), such as the number 123, is about 1 in 167; while the chance of winning with a one-repeat box, such as 122, is about 1 in 333. The chance of winning with a triple is the same as the chance of winning with any other straight number - that is, 1 in 1000.

## Arizona Lottery Pick 3 Box Analysis Results and Summary by Category

There are 120 distinct non-repeat Pick 3 boxes and 90 one-repeat. All the possible boxes of the Arizona Lottery Pick 3 game are listed below by category together with the number of times drawn (ND) and the number of draws since last appearance (NDSLA). But, prior that we shall list some analysis results to show how the actual data are close to the theoretical expectations cited above.

Although we cannot comment on how close the actual data are to the theoretical data right at this moment (since all figures are updated after every draw), we were amazed to see a perfect harmony between the two at the time of writing of these pages.

See Arizona Lottery Pick 3 Boxes (Combos) Analysis for a more elaborate analysis of boxes.

Arizona Lottery Pick 3winnig numbers by category
From Monday, May 04, 1998 to Saturday, December 07, 2013)

• Total number of draws            = 4854
• Number of non-repeats drawn  = 3525 (72.62%)
• Number of doubles drawn        = 1286 (26.49%)
• Number of triples drawn          = 43 (0.89%)

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Non-repeat Numbers (Total 120)ND = Number of times Drawn, NDSLA = Number of Draws Since Last Appearance

 Number ND NDSLA 012 30 376 013 29 160 014 35 22 015 21 88 016 32 68 017 28 573 018 28 18 019 22 213 023 34 9 024 15 139 025 24 335 026 37 3 027 21 2 028 16 50 029 34 294 034 32 44 035 30 126 036 39 196 037 25 208 038 27 315 039 23 61 045 28 212 046 29 568 047 28 377

 Number ND NDSLA 048 26 194 049 17 575 056 25 89 057 33 90 058 30 340 059 23 290 067 29 122 068 26 59 069 28 258 078 29 311 079 28 32 089 32 295 123 31 36 124 39 33 125 41 67 126 23 109 127 37 203 128 37 272 129 25 56 134 35 149 135 28 514 136 41 13 137 39 176 138 27 303

 Number ND NDSLA 139 30 97 145 33 62 146 22 119 147 29 1 148 25 186 149 16 358 156 24 66 157 39 120 158 36 233 159 30 132 167 42 121 168 21 159 169 37 72 178 37 371 179 21 140 189 34 7 234 30 80 235 32 118 236 35 24 237 28 135 238 31 92 239 24 49 245 31 228 246 16 107

 Number ND NDSLA 247 31 93 248 30 48 249 30 754 256 37 485 257 37 11 258 21 10 259 16 553 267 29 450 268 28 87 269 21 308 278 37 21 279 37 309 289 30 222 345 26 43 346 36 127 347 28 12 348 35 35 349 30 39 356 35 145 357 29 34 358 31 73 359 34 501 367 38 275 368 29 156

 Number ND NDSLA 369 37 204 378 29 201 379 32 38 389 35 52 456 31 448 457 32 28 458 33 129 459 19 301 467 32 55 468 31 460 469 29 187 478 20 202 479 20 395 489 31 29 567 40 330 568 33 257 569 21 171 578 33 17 579 23 14 589 28 83 678 23 30 679 18 161 689 27 181 789 34 369

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Doubles (Total 90)ND = Number of times Drawn, NDSLA = Number of Draws Since Last Appearance

 Number ND NDSLA 001 10 157 002 15 108 003 12 179 004 10 296 005 12 454 006 21 37 007 19 648 008 20 191 009 11 439 011 17 98 022 13 392 033 9 100 044 18 683 055 15 155 066 15 351 077 11 264 088 15 502 099 14 328

 Number ND NDSLA 112 19 287 113 5 270 114 14 305 115 16 389 116 13 54 117 17 15 118 18 19 119 13 71 122 10 125 133 11 641 144 16 23 155 11 65 166 18 286 177 16 111 188 17 505 199 12 1489 223 13 31 224 17 64

 Number ND NDSLA 225 13 304 226 7 1969 227 23 169 228 13 81 229 15 289 233 23 320 244 12 510 255 16 91 266 13 211 277 9 1202 288 11 545 299 12 334 334 14 617 335 11 831 336 17 5 337 11 440 338 15 1110 339 14 355

 Number ND NDSLA 344 16 84 355 10 372 366 19 94 377 16 259 388 9 189 399 13 223 445 11 670 446 17 391 447 17 82 448 17 25 449 8 20 455 14 541 466 19 58 477 15 324 488 12 47 499 14 280 556 19 217 557 13 427

 Number ND NDSLA 558 15 46 559 18 0 566 13 182 577 13 177 588 15 6 599 14 490 667 14 114 668 12 45 669 16 142 677 15 136 688 23 4 699 18 16 778 15 597 779 13 256 788 13 74 799 11 255 889 12 725 899 15 173

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Triples (Total 10)ND = Number of times Drawn, NDSLA = Number of Draws Since Last Appearance

 Number ND NDSLA 000 5 221 111 5 433 222 3 1838 333 2 842 444 5 489 555 6 151 666 1 4066 777 4 1592 888 6 8 999 6 1181

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