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 24,428 draws (combined)
Digit-by-position heatmap
Which digit shows up where
| pos / digit | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| P1 | 2408 9.9% | 2463 10.1% | 2515 10.3% | 2410 9.9% | 2470 10.1% | 2382 9.8% | 2472 10.1% | 2503 10.2% | 2422 9.9% | 2383 9.8% |
| P2 | 2362 9.7% | 2364 9.7% | 2496 10.2% | 2430 9.9% | 2481 10.2% | 2463 10.1% | 2468 10.1% | 2408 9.9% | 2443 10.0% | 2513 10.3% |
| P3 | 2409 9.9% | 2472 10.1% | 2396 9.8% | 2482 10.2% | 2539 10.4% | 2456 10.1% | 2405 9.8% | 2471 10.1% | 2452 10.0% | 2346 9.6% |
| P4 | 2466 10.1% | 2416 9.9% | 2463 10.1% | 2491 10.2% | 2450 10.0% | 2392 9.8% | 2431 10.0% | 2418 9.9% | 2480 10.2% | 2421 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 | 11 |
| 2 | 29 |
| 3 | 48 |
| 4 | 66 |
| 5 | 137 |
| 6 | 193 |
| 7 | 334 |
| 8 | 381 |
| 9 | 537 |
| 10 | 675 |
| 11 | 893 |
| 12 | 970 |
| 13 | 1,150 |
| 14 | 1,386 |
| 15 | 1,429 |
| 16 | 1,498 |
| 17 | 1,651 |
| 18 | 1,630 |
| 19 | 1,622 |
| 20 | 1,573 |
| 21 | 1,426 |
| 22 | 1,339 |
| 23 | 1,142 |
| 24 | 1,063 |
| 25 | 832 |
| 26 | 660 |
| 27 | 567 |
| 28 | 426 |
| 29 | 273 |
| 30 | 178 |
| 31 | 147 |
| 32 | 65 |
| 33 | 59 |
| 34 | 26 |
| 35 | 12 |
| 36 | 0 |
Draw shapes
Repeats inside one draw
All distinct12,424 · 50.9%
Has a double11,077 · 45.3%
Has a triple908 · 3.7%
Has a quad19 · 0.1%
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 = 12,734 · 11.2%
root = 22,768 · 11.3%
root = 32,622 · 10.7%
root = 42,702 · 11.1%
root = 52,730 · 11.2%
root = 62,744 · 11.2%
root = 72,690 · 11.0%
root = 82,704 · 11.1%
root = 92,734 · 11.2%
Box-type breakdown
Pick 4 box types
Observed share vs the theoretical share under uniform random digits.
no-match50.9% · expected 50.4%
single-double42.7% · expected 43.2%
double-double2.7% · expected 2.7%
triple3.7% · expected 3.6%
quad0.1% · expected 0.1%