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

# Michigan Lottery Daily 3 Boxes(numbers in any order) Data

 Data updated on Monday, May 20, 2013 When playing Daily 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 Michigan Lottery Daily 3 box (any order).

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

## Michigan Lottery Daily 3 Box Analysis Results and Summary by Category

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

Michigan Lottery Daily 3winnig numbers by category
From Saturday, September 01, 1984 to Monday, May 20, 2013)

• Total number of draws            = 15193
• Number of non-repeats drawn  = 10879 (71.61%)
• Number of doubles drawn        = 4178 (27.50%)
• Number of triples drawn          = 136 (0.90%)

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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 88 175 013 91 21 014 99 61 015 86 452 016 97 147 017 84 69 018 92 9 019 88 85 023 87 118 024 79 376 025 102 11 026 100 41 027 103 139 028 109 101 029 92 292 034 81 129 035 88 148 036 96 149 037 99 70 038 89 282 039 90 225 045 80 207 046 92 40 047 112 188

 Number ND NDSLA 048 108 56 049 93 32 056 84 53 057 99 138 058 86 260 059 94 369 067 79 79 068 114 142 069 87 29 078 92 33 079 97 169 089 99 120 123 84 132 124 97 35 125 97 71 126 97 445 127 91 165 128 84 99 129 89 55 134 88 265 135 79 234 136 84 239 137 100 7 138 89 359

 Number ND NDSLA 139 101 737 145 88 73 146 91 98 147 94 49 148 78 64 149 88 37 156 76 12 157 103 84 158 86 191 159 95 160 167 85 19 168 100 668 169 90 141 178 95 1 179 79 111 189 79 346 234 69 672 235 98 153 236 109 254 237 81 136 238 78 296 239 106 20 245 82 25 246 91 59

 Number ND NDSLA 247 89 6 248 89 433 249 72 425 256 92 398 257 101 112 258 85 54 259 96 0 267 94 106 268 89 388 269 79 10 278 90 81 279 101 250 289 79 14 345 92 34 346 89 348 347 82 384 348 83 97 349 95 76 356 98 16 357 88 362 358 83 230 359 89 152 367 93 490 368 90 42

 Number ND NDSLA 369 85 4 378 85 203 379 81 264 389 66 501 456 99 330 457 106 290 458 97 164 459 88 28 467 85 365 468 102 50 469 86 15 478 86 256 479 90 88 489 95 123 567 91 222 568 105 410 569 112 92 578 86 246 579 82 312 589 101 406 678 72 46 679 81 251 689 95 74 789 88 27

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

 Number ND NDSLA 001 52 166 002 51 212 003 51 334 004 42 66 005 46 283 006 49 386 007 43 171 008 38 689 009 42 51 011 39 31 022 54 89 033 54 39 044 45 114 055 47 1490 066 37 43 077 47 221 088 57 57 099 49 104

 Number ND NDSLA 112 49 36 113 56 170 114 37 316 115 39 218 116 51 178 117 54 5 118 52 8 119 52 96 122 42 423 133 43 24 144 44 1337 155 45 582 166 49 583 177 48 38 188 59 113 199 45 371 223 44 599 224 48 68

 Number ND NDSLA 225 45 13 226 37 431 227 38 788 228 52 125 229 46 1254 233 40 671 244 40 206 255 48 87 266 39 1575 277 45 289 288 36 30 299 33 1231 334 46 60 335 59 529 336 50 86 337 41 341 338 46 309 339 44 94

 Number ND NDSLA 344 48 405 355 45 119 366 55 523 377 55 238 388 36 18 399 49 26 445 53 616 446 57 65 447 54 745 448 48 179 449 44 470 455 41 58 466 49 127 477 47 437 488 51 332 499 45 200 556 45 262 557 45 588

 Number ND NDSLA 558 48 44 559 52 23 566 41 168 577 49 90 588 50 144 599 39 610 667 47 247 668 45 449 669 43 48 677 52 115 688 42 956 699 50 291 778 53 3 779 34 738 788 44 746 799 51 77 889 34 518 899 52 52

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

 Number ND NDSLA 000 10 1946 111 11 462 222 13 105 333 15 1061 444 10 631 555 13 297 666 21 960 777 11 3182 888 22 102 999 10 1865

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