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

# Arkansas Lottery Cash 3 Boxes(numbers in any order) Data

 Data updated on Wednesday, December 11, 2013 When playing Cash 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 Arkansas Lottery Cash 3 box (any order).

Since there are 220 possible outcomes, one may be tempted to conclude that the chance winning in a Cash 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 Cash 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 Cash 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.

## Arkansas Lottery Cash 3 Box Analysis Results and Summary by Category

There are 120 distinct non-repeat Cash 3 boxes and 90 one-repeat. All the possible boxes of the Arkansas Lottery Cash 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 Arkansas Lottery Cash 3 Boxes (Combos) Analysis for a more elaborate analysis of boxes.

Arkansas Lottery Cash 3winnig numbers by category
From Monday, December 14, 2009 to Wednesday, December 11, 2013)

• Total number of draws            = 2710
• Number of non-repeats drawn  = 1980 (73.06%)
• Number of doubles drawn        = 711 (26.24%)
• Number of triples drawn          = 19 (0.70%)

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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 13 264 013 22 43 014 13 577 015 10 173 016 14 3 017 21 272 018 16 68 019 15 9 023 18 31 024 18 98 025 22 72 026 23 38 027 15 211 028 14 4 029 10 30 034 14 355 035 16 170 036 17 108 037 18 123 038 22 42 039 13 64 045 21 36 046 14 210 047 17 125

 Number ND NDSLA 048 11 519 049 19 179 056 10 37 057 23 100 058 22 90 059 14 24 067 15 435 068 12 41 069 14 114 078 21 493 079 29 81 089 22 215 123 15 121 124 22 50 125 14 134 126 10 74 127 17 45 128 21 160 129 18 0 134 18 185 135 18 111 136 20 227 137 14 82 138 18 56

 Number ND NDSLA 139 13 265 145 11 58 146 19 20 147 17 47 148 12 127 149 12 46 156 17 79 157 22 145 158 13 17 159 17 152 167 21 33 168 18 129 169 20 44 178 15 91 179 11 40 189 12 219 234 15 142 235 22 124 236 12 149 237 20 35 238 17 122 239 19 14 245 22 181 246 13 8

 Number ND NDSLA 247 18 15 248 12 275 249 21 18 256 16 110 257 20 85 258 12 338 259 11 101 267 14 78 268 13 463 269 19 552 278 14 109 279 20 61 289 16 27 345 13 148 346 10 304 347 17 184 348 13 175 349 12 23 356 20 34 357 20 335 358 13 66 359 17 1 367 12 135 368 14 567

 Number ND NDSLA 369 23 309 378 15 609 379 16 138 389 19 77 456 19 7 457 16 126 458 11 443 459 20 39 467 14 545 468 14 103 469 15 153 478 23 256 479 11 154 489 21 16 567 13 268 568 22 63 569 20 230 578 21 164 579 8 87 589 19 351 678 20 26 679 17 386 689 15 28 789 18 380

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

 Number ND NDSLA 001 10 65 002 7 580 003 9 251 004 7 276 005 4 183 006 8 478 007 11 751 008 9 301 009 9 21 011 10 414 022 8 190 033 6 69 044 9 88 055 9 57 066 7 75 077 8 370 088 3 1782 099 11 80

 Number ND NDSLA 112 11 137 113 5 477 114 5 383 115 11 350 116 9 158 117 12 174 118 9 366 119 9 426 122 6 421 133 7 303 144 10 319 155 10 456 166 14 10 177 7 177 188 9 13 199 5 93 223 10 32 224 6 22

 Number ND NDSLA 225 7 257 226 5 898 227 8 787 228 10 76 229 8 59 233 5 339 244 11 6 255 5 982 266 4 117 277 5 132 288 5 471 299 5 431 334 8 238 335 2 1415 336 3 675 337 6 107 338 7 936 339 11 206

 Number ND NDSLA 344 5 387 355 9 2 366 9 29 377 4 106 388 7 223 399 11 12 445 8 112 446 6 349 447 2 547 448 13 266 449 8 165 455 8 141 466 9 96 477 14 150 488 13 209 499 5 194 556 5 136 557 8 5

 Number ND NDSLA 558 8 390 559 3 559 566 12 331 577 11 397 588 13 583 599 10 217 667 3 11 668 5 1243 669 4 344 677 6 52 688 11 329 699 5 404 778 8 25 779 4 814 788 12 406 799 10 157 889 17 326 899 10 94

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

 Number ND NDSLA 000 1 2269 111 2 1598 222 3 1440 333 2 1180 444 3 252 555 1 2619 666 2 569 777 2 826 888 3 1295 999 0 -

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