Massachusetts The Numbers Game · positional
Massachusetts The Numbers Game — positional
Four digits, 0–9, drawn by the Massachusetts Lottery ("The Numbers Game") since April 1976 — the longest-running series on the site. Evening-only for its first three decades, with a Midday draw added later. Massachusetts runs no 3-digit game. Outcome space: 10,000 combinations.
24,428 draws1976-04-10 → 2026-10-11midday: 6,699evening: 17,729
Reading this honestly
Each cell shows how often a digit landed in a particular slot. If the draws are fair, every slot should look like 0–9 picked from a hat — about 10% each, with sample noise. Any heat pattern you can see by eye is almost certainly within that noise band.
showing 6,699 draws (midday)
Digit-by-position heatmap
Which digit shows up where
| pos / digit | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| P1 | 617 9.2% | 711 10.6% | 673 10.0% | 639 9.5% | 688 10.3% | 656 9.8% | 682 10.2% | 673 10.0% | 683 10.2% | 677 10.1% |
| P2 | 657 9.8% | 652 9.7% | 677 10.1% | 688 10.3% | 658 9.8% | 678 10.1% | 707 10.6% | 624 9.3% | 666 9.9% | 692 10.3% |
| P3 | 629 9.4% | 687 10.3% | 633 9.4% | 687 10.3% | 700 10.4% | 707 10.6% | 631 9.4% | 687 10.3% | 666 9.9% | 672 10.0% |
| P4 | 716 10.7% | 667 10.0% | 697 10.4% | 658 9.8% | 638 9.5% | 656 9.8% | 659 9.8% | 628 9.4% | 714 10.7% | 666 9.9% |
coolerwarmer
Sum distribution
All digits added together (0–36)
Middling sums are commonest simply because more digit combinations produce them.
| 0 | 0 |
|---|---|
| 1 | 6 |
| 2 | 7 |
| 3 | 12 |
| 4 | 18 |
| 5 | 38 |
| 6 | 50 |
| 7 | 111 |
| 8 | 110 |
| 9 | 151 |
| 10 | 183 |
| 11 | 229 |
| 12 | 267 |
| 13 | 301 |
| 14 | 362 |
| 15 | 410 |
| 16 | 393 |
| 17 | 427 |
| 18 | 438 |
| 19 | 402 |
| 20 | 457 |
| 21 | 415 |
| 22 | 373 |
| 23 | 335 |
| 24 | 316 |
| 25 | 234 |
| 26 | 195 |
| 27 | 150 |
| 28 | 108 |
| 29 | 69 |
| 30 | 45 |
| 31 | 41 |
| 32 | 17 |
| 33 | 21 |
| 34 | 3 |
| 35 | 5 |
| 36 | 0 |
Draw shapes
Repeats inside one draw
All distinct3,424 · 51.1%
Has a double3,013 · 45.0%
Has a triple251 · 3.7%
Has a quad11 · 0.2%
Digital root distribution
Sum reduced to a single digit (0–9)
Digital root keeps adding digits until one is left. Reference under uniform digits ≈ 11.1% per class for 1–9, lower for 0.
root = 00 · 0.0%
root = 1699 · 10.4%
root = 2762 · 11.4%
root = 3739 · 11.0%
root = 4733 · 10.9%
root = 5752 · 11.2%
root = 6797 · 11.9%
root = 7741 · 11.1%
root = 8737 · 11.0%
root = 9739 · 11.0%
Box-type breakdown
Pick 4 box types
Observed share vs the theoretical share under uniform random digits.
no-match51.1% · expected 50.4%
single-double42.2% · expected 43.2%
double-double2.7% · expected 2.7%
triple3.7% · expected 3.6%
quad0.2% · expected 0.1%