No calibration data
Frequency lab · free analysis
Za Za Powerball frequency analysis
Calibrated against 1,047 historical draws of za_za_powerball. Methodology: Pearson χ², Kolmogorov-Smirnov, 5-fold cross-validation, Cover (1989) sharing-risk adjustment.
Number frequency vs uniform expectation
Each square shows a main ball. Colour encodes the standardised residual: blue = drawn less than chance predicts, red = more.
Uniformity p-value
0.9182
Passes
Observed vs expected (F4)
No frequency data for this window.
Heatmap view
Time window:
Very quietQuietNormalActiveRunning hot
Colour shows how a number's recent frequency compares to a fair draw — a description of the past, not a forecast.
You're seeing the last 12 months only.
Sign up free to unlock the full history back to 2009 plus 10 strategy presets and the 12-agent swarm engine.
Continue free →Frequency table
Every main number over the last 12 months — its observed count, the count a fair draw predicts, the standardised residual (z), and how long since it last appeared. Click any column to sort.
| # ▲ | Observed | Expected | Residual (z) | Current gap | Mean gap |
|---|---|---|---|---|---|
| 1 | 7 | 6.0 | +0.41 | 24 | 10.2 |
| 2 | 6 | 6.0 | +0.00 | 9 | 9.4 |
| 3 | 3 | 6.0 | -1.22 | 3 | 11.2 |
| 4 | 4 | 6.0 | -0.82 | 19 | 10.3 |
| 5 | 9 | 6.0 | +1.22 | 7 | 9.7 |
| 6 | 4 | 6.0 | -0.82 | 26 | 10.7 |
| 7 | 6 | 6.0 | +0.00 | 5 | 10.7 |
| 8 | 5 | 6.0 | -0.41 | 15 | 10.6 |
| 9 | 5 | 6.0 | -0.41 | 6 | 9.8 |
| 10 | 6 | 6.0 | +0.00 | 6 | 10.0 |
| 11 | 2 | 6.0 | -1.63 | 25 | 11.4 |
| 12 | 5 | 6.0 | -0.41 | 7 | 9.6 |
| 13 | 5 | 6.0 | -0.41 | 23 | 10.5 |
| 14 | 4 | 6.0 | -0.82 | 21 | 9.7 |
| 15 | 4 | 6.0 | -0.82 | 25 | 9.1 |
| 16 | 11 | 6.0 | +2.04 | 1 | 9.4 |
| 17 | 11 | 6.0 | +2.04 | 2 | 9.7 |
| 18 | 2 | 6.0 | -1.63 | 41 | 9.0 |
| 19 | 9 | 6.0 | +1.22 | 9 | 8.5 |
| 20 | 8 | 6.0 | +0.82 | 1 | 8.2 |
| 21 | 4 | 6.0 | -0.82 | 0 | 9.1 |
| 22 | 7 | 6.0 | +0.41 | 20 | 9.1 |
| 23 | 7 | 6.0 | +0.41 | 5 | 10.0 |
| 24 | 6 | 6.0 | +0.00 | 28 | 9.8 |
| 25 | 10 | 6.0 | +1.63 | 3 | 10.3 |
| 26 | 5 | 6.0 | -0.41 | 0 | 10.2 |
| 27 | 9 | 6.0 | +1.22 | 3 | 10.0 |
| 28 | 4 | 6.0 | -0.82 | 20 | 12.3 |
| 29 | 7 | 6.0 | +0.41 | 23 | 8.6 |
| 30 | 6 | 6.0 | +0.00 | 12 | 10.0 |
| 31 | 6 | 6.0 | +0.00 | 1 | 10.8 |
| 32 | 10 | 6.0 | +1.63 | 4 | 9.5 |
| 33 | 5 | 6.0 | -0.41 | 1 | 10.2 |
| 34 | 0 | 6.0 | -2.45 | 63 | 10.7 |
| 35 | 5 | 6.0 | -0.41 | 19 | 10.8 |
| 36 | 7 | 6.0 | +0.41 | 21 | 10.7 |
| 37 | 6 | 6.0 | +0.00 | 2 | 10.5 |
| 38 | 5 | 6.0 | -0.41 | 5 | 9.5 |
| 39 | 4 | 6.0 | -0.82 | 3 | 9.9 |
| 40 | 9 | 6.0 | +1.22 | 0 | 10.3 |
| 41 | 6 | 6.0 | +0.00 | 19 | 10.5 |
| 42 | 4 | 6.0 | -0.82 | 0 | 9.2 |
| 43 | 10 | 6.0 | +1.63 | 7 | 8.4 |
| 44 | 8 | 6.0 | +0.82 | 0 | 10.2 |
| 45 | 7 | 6.0 | +0.41 | 2 | 11.3 |
| 46 | 5 | 6.0 | -0.41 | 5 | 8.9 |
| 47 | 7 | 6.0 | +0.41 | 1 | 10.3 |
| 48 | 10 | 6.0 | +1.63 | 13 | 9.7 |
| 49 | 1 | 6.0 | -2.04 | 20 | 9.4 |
| 50 | 4 | 6.0 | -0.82 | 4 | 10.0 |
Residual (z) = (observed − expected) ÷ √expected. Values beyond ±2 stood out from the average, but across dozens of numbers a few will by chance alone. This describes the historical window — it does not point to the next draw.
Composition distributions
How each draw's numbers were composed over the last 12 months — the sum, odd/even split, high/low split, and which number bands were drawn — each compared against a fair draw.
Sum of main numbers
60 draws · sum range 60–189 · observed mean 129.7 ± 31.9
Theoretical mean 127.5 · offset +2.2 (0.07σ)
Solid line = observed mean. Gray band = ±1σ around observed. Red dashed line = theoretical mean under uniform K-of-N draws. The shape should be approximately symmetric and unimodal (CLT). Material bimodality or skew would indicate format change or sampling artifact.
Odd numbers per draw
60 draws· observed mean 2.58theoretical 2.50
Each bar is the number of past draws whose main numbers contained that many odd values.
High numbers per draw
60 draws· observed mean 2.50theoretical 2.50
Each bar is the number of past draws with that many numbers above 25 (the pool midpoint).
Number bands (decades)
60 draws · 300 numbers drawn · K=5 of N=50
Blue = how often a number in that band was drawn; gray = what a fair draw produces on average. Over a long enough window the bars sit close to the fair line.
18+
Draws since last appearance
How many draws have passed since each number last appeared. The dashed line marks each number's historical mean gap — bars taller than the line are above average, shorter are below.
Geom(1/50) · DKW 95% band (Massart) · current gap range 0 – 63
Empirical CDF excursions: 62 gap value(s) outside the band
Under independent uniform draws, current-gap should follow Geom(1/50) (the black curve). The shaded band is the Dvoretzky-Kiefer-Wolfowitz 95% simultaneous CI (bandwidth = ±19.2%). The blue step is the observed empirical CDF. Gaps within the band — including extreme "overdue" values — are exactly what randomness produces. They are notevidence that a number is "due".
Per-number current gap (G1)
Sort by:
1
24
2
9
3
3
4
19
5
7
6
26
7
5
8
15
9
6
10
6
11
25
12
7
13
23
14
21
15
25
16
1
17
2
18
41
19
9
20
1
21
0
22
20
23
5
24
28
25
3
26
0
27
3
28
20
29
23
30
12
31
1
32
4
33
1
34
63
35
19
36
21
37
2
38
5
39
3
40
0
41
19
42
0
43
7
44
0
45
2
46
5
47
1
48
13
49
20
50
4
Expected gap (if uniform)
~10 draws
Most overdue
#1 · 24 draws
Longest historical gap
97 draws
Average mean gap
10.0
Uniformity across 498 games
Pearson χ² test results for every calibrated game in the warehouse. Games marked Format-mixed failed only because their historical record includes ball-range changes — when filtered to a single format, every major game passes.
Sort by:
| Game | Draws | Main χ² p | Special χ² p | Window | α | Verdict |
|---|---|---|---|---|---|---|
| de_pick3_evening | 13,920 | 0.0456 | — | 50 | 1 | Non-uniform |
| de_pick4_evening | 13,414 | 0.0920 | — | 50 | 1 | Uniform |
| au_au_pick3 | 10,095 | 0.7433 | — | 50 | 1 | Uniform |
| wi_pick4_evening | 9,227 | 0.1801 | — | 50 | 1 | Uniform |
| wi_pick3_evening | 9,225 | 0.5779 | — | 50 | 1 | Uniform |
| pl_lotto | 6,545 | 0.1240 | — | 500 | 10 | Uniform |
| ny_numbers_midday | 5,918 | 0.3465 | — | 50 | 1 | Uniform |
| ny_win4_midday | 5,918 | 0.2871 | — | 50 | 1 | Uniform |
| ca_daily4 | 5,912 | 0.5059 | — | 50 | 1 | Uniform |
| nj_pick3_midday | 5,899 | 0.3103 | — | 50 | 1 | Uniform |
| nj_pick3_evening | 5,870 | 0.5968 | — | 50 | 1 | Uniform |
| ny_numbers_evening | 5,821 | 0.4013 | — | 50 | 1 | Uniform |
| ny_win4_evening | 5,820 | 0.1087 | — | 50 | 1 | Uniform |
| oh_pick4_evening | 5,678 | 0.0020 | — | 50 | 1 | Non-uniform |
| oh_pick4_midday | 5,677 | 0.1894 | — | 50 | 1 | Uniform |
| oh_pick3_evening | 5,656 | 0.2536 | — | 50 | 1 | Uniform |
| oh_pick3_midday | 5,655 | 0.0342 | — | 50 | 1 | Non-uniform |
| ny_take5_evening | 5,565 | 0.0000 | — | 50 | 1 | Non-uniform |
| az_pick3_evening | 5,450 | 0.4925 | — | 50 | 1 | Uniform |
| ma_numbersgame_midday | 5,296 | 0.9106 | — | 50 | 1 | Uniform |
| ma_numbersgame_evening | 5,295 | 0.0573 | — | 50 | 1 | Uniform |
| me_pick3_evening | 5,293 | 0.6481 | — | 50 | 1 | Uniform |
| ga_georgiafive_midday | 5,292 | 0.5957 | — | 50 | 1 | Uniform |
| vt_pick3_evening | 5,292 | 0.6420 | — | 50 | 1 | Uniform |
| ga_cash3_evening | 5,292 | 0.5150 | — | 50 | 1 | Uniform |
| ga_cash3_midday | 5,292 | 0.7262 | — | 50 | 1 | Uniform |
| ca_daily3_midday | 5,292 | 0.1511 | — | 50 | 1 | Uniform |
| ar_cash4_evening | 5,292 | 0.7087 | — | 50 | 1 | Uniform |
| me_pick4_evening | 5,292 | 0.7972 | — | 50 | 1 | Uniform |
| ga_georgiafive_evening | 5,291 | 0.3271 | — | 50 | 1 | Uniform |
| me_pick4_midday | 5,291 | 0.6480 | — | 50 | 1 | Uniform |
| me_pick3_midday | 5,291 | 0.2159 | — | 50 | 1 | Uniform |
| ga_cash4_midday | 5,291 | 0.4101 | — | 50 | 1 | Uniform |
| il_pick3_evening | 5,291 | 0.0210 | — | 50 | 1 | Non-uniform |
| vt_pick3_midday | 5,291 | 0.2159 | — | 50 | 1 | Uniform |
| il_pick4_evening | 5,291 | 0.0210 | — | 50 | 1 | Non-uniform |
| vt_pick4_midday | 5,291 | 0.6480 | — | 50 | 1 | Uniform |
| ks_pick3_evening | 5,291 | 0.2238 | — | 50 | 1 | Uniform |
| vt_pick4_evening | 5,291 | 0.7970 | — | 50 | 1 | Uniform |
| ca_daily3_evening | 5,290 | 0.3677 | — | 50 | 1 | Uniform |
| fl_pick4_evening | 5,290 | 0.7000 | — | 50 | 1 | Uniform |
| fl_pick3_evening | 5,290 | 0.2417 | — | 50 | 1 | Uniform |
| ar_cash3_evening | 5,289 | 0.2359 | — | 50 | 1 | Uniform |
| in_daily3_evening | 5,289 | 0.9254 | — | 50 | 1 | Uniform |
| ky_pick4_evening | 5,289 | 0.4589 | — | 50 | 1 | Uniform |
| ky_pick3_evening | 5,288 | 0.7292 | — | 50 | 1 | Uniform |
| wa_pick3 | 5,288 | 0.3690 | — | 50 | 1 | Uniform |
| in_daily4_evening | 5,288 | 0.3095 | — | 50 | 1 | Uniform |
| il_pick4_midday | 5,286 | 0.2671 | — | 50 | 1 | Uniform |
| il_pick3_midday | 5,285 | 0.1866 | — | 50 | 1 | Uniform |
| dc_pick4_midday | 5,272 | 0.1322 | — | 50 | 1 | Uniform |
| dc_pick3_evening | 5,272 | 0.6135 | — | 50 | 1 | Uniform |
| dc_pick5_midday | 5,272 | 0.6488 | — | 50 | 1 | Uniform |
| dc_pick5_evening | 5,272 | 0.9661 | — | 50 | 1 | Uniform |
| va_pick4_midday | 5,272 | 0.0515 | — | 50 | 1 | Uniform |
| dc_pick4_evening | 5,272 | 0.0103 | — | 50 | 1 | Non-uniform |
| dc_pick3_midday | 5,272 | 0.0078 | — | 50 | 1 | Non-uniform |
| va_pick3_midday | 5,271 | 0.9210 | — | 50 | 1 | Uniform |
| va_pick4_evening | 5,270 | 0.8963 | — | 50 | 1 | Uniform |
| va_pick3_evening | 5,270 | 0.9371 | — | 50 | 1 | Uniform |
| la_pick3_evening | 5,267 | 0.2444 | — | 50 | 1 | Uniform |
| la_pick4_evening | 5,267 | 0.7497 | — | 50 | 1 | Uniform |
| ia_pick3_evening | 5,265 | 0.1061 | — | 50 | 1 | Uniform |
| ct_pick4_evening | 5,265 | 0.2515 | — | 50 | 1 | Uniform |
| ct_pick3_midday | 5,265 | 0.0539 | — | 50 | 1 | Uniform |
| ia_pick3_midday | 5,265 | 0.8805 | — | 50 | 1 | Uniform |
| ia_pick4_evening | 5,265 | 0.7529 | — | 50 | 1 | Uniform |
| ia_pick4_midday | 5,265 | 0.8716 | — | 50 | 1 | Uniform |
| ct_pick4_midday | 5,265 | 0.1624 | — | 50 | 1 | Uniform |
| ct_pick3_evening | 5,265 | 0.2271 | — | 50 | 1 | Uniform |
| in_daily3_midday | 5,135 | 0.3517 | — | 50 | 1 | Uniform |
| in_daily4_midday | 5,135 | 0.5853 | — | 50 | 1 | Uniform |
| ky_pick4_midday | 5,077 | 0.3550 | — | 50 | 1 | Uniform |
| ky_pick3_midday | 5,075 | 0.0779 | — | 50 | 1 | Uniform |
| ar_cash3_midday | 5,025 | 0.2093 | — | 50 | 1 | Uniform |
| ar_cash4_midday | 5,025 | 0.8848 | — | 50 | 1 | Uniform |
| oh_pick5_evening | 4,974 | 0.4612 | — | 50 | 1 | Uniform |
| oh_pick5_midday | 4,973 | 0.8203 | — | 50 | 1 | Uniform |
| de_pick3_midday | 4,699 | 0.8365 | — | 50 | 1 | Uniform |
| de_pick4_midday | 4,637 | 0.0743 | — | 50 | 1 | Uniform |
| co_pick3_evening | 4,592 | 0.9871 | — | 50 | 1 | Uniform |
| tx_pick3_midday | 4,536 | 0.8302 | — | 50 | 1 | Uniform |
| wv_daily4_evening | 4,536 | 0.3146 | — | 50 | 1 | Uniform |
| wv_daily3_evening | 4,535 | 0.9987 | — | 50 | 1 | Uniform |
| va_cashpop_evening | 4,527 | 0.4945 | — | 50 | 1 | Uniform |
| ie_ie_dailymillionplus | 4,214 | 0.0781 | — | 50 | 1 | Uniform |
| ie_ie_dailymillion | 4,213 | 0.1513 | — | 50 | 1 | Uniform |
| tx_pick3_evening | 3,948 | 0.6118 | — | 50 | 1 | Uniform |
| tx_pick4_evening | 3,948 | 0.3117 | — | 50 | 1 | Uniform |
| wi_allornothing | 3,790 | 0.9656 | — | 50 | 1 | Uniform |
| ma_masscash | 3,760 | 0.0116 | — | 50 | 1 | Non-uniform |
| tx_lotto_texas | 3,744 | 0.0000 | — | 500 | 10 | Format-mixed* |
| ca_lotto_649 | 3,665 | 0.4758 | — | 500 | 10 | Uniform |
| fl_pick2_evening | 3,620 | 0.4716 | — | 50 | 1 | Uniform |
| fl_pick5_evening | 3,620 | 0.6911 | — | 50 | 1 | Uniform |
| co_pick3_midday | 3,525 | 0.8570 | — | 50 | 1 | Uniform |
| wi_pick4_midday | 3,515 | 0.8575 | — | 50 | 1 | Uniform |
| wi_pick3_midday | 3,514 | 0.7968 | — | 50 | 1 | Uniform |
| mi_daily3_midday | 3,514 | 0.5690 | — | 50 | 1 | Uniform |
| mi_daily4_midday | 3,514 | 0.9798 | — | 50 | 1 | Uniform |
| ri_numbersgame_midday | 3,514 | 0.4752 | — | 50 | 1 | Uniform |
| ok_pick3_evening | 3,513 | 0.0104 | — | 50 | 1 | Non-uniform |
| ne_pick3_evening | 3,512 | 0.8792 | — | 50 | 1 | Uniform |
| va_pick4_day | 3,505 | 0.0161 | — | 50 | 1 | Non-uniform |
| va_pick3_day | 3,504 | 0.7487 | — | 50 | 1 | Uniform |
| mo_pick4_midday | 3,499 | 0.6492 | — | 50 | 1 | Uniform |
| ks_pick3_midday | 3,499 | 0.4484 | — | 50 | 1 | Uniform |
| mo_pick3_midday | 3,498 | 0.2696 | — | 50 | 1 | Uniform |
| md_pick3_midday | 3,496 | 0.5708 | — | 50 | 1 | Uniform |
| md_pick4_midday | 3,496 | 0.9521 | — | 50 | 1 | Uniform |
| or_pick4_1pm | 3,495 | 0.0977 | — | 50 | 1 | Uniform |
| dc_pick4_1pm | 3,495 | 0.4576 | — | 50 | 1 | Uniform |
| dc_pick5_1pm | 3,495 | 0.1629 | — | 50 | 1 | Uniform |
| nc_pick4_day | 3,490 | 0.5206 | — | 50 | 1 | Uniform |
| id_pick3_day | 3,490 | 0.7555 | — | 50 | 1 | Uniform |
| nc_pick3_day | 3,490 | 0.9709 | — | 50 | 1 | Uniform |
| pa_pick3_day | 3,489 | 0.5416 | — | 50 | 1 | Uniform |
| pa_pick4_day | 3,489 | 0.4033 | — | 50 | 1 | Uniform |
| nm_pick3_day | 3,488 | 0.3468 | — | 50 | 1 | Uniform |
| pa_pick5_day | 3,487 | 0.2018 | — | 50 | 1 | Uniform |
| vt_pick4_day | 3,486 | 0.2480 | — | 50 | 1 | Uniform |
| vt_pick3_day | 3,486 | 0.8726 | — | 50 | 1 | Uniform |
| pa_pick2_day | 3,486 | 0.7478 | — | 50 | 1 | Uniform |
| mi_daily4_evening | 3,470 | 0.9369 | — | 50 | 1 | Uniform |
| sc_pick3_evening | 3,470 | 0.1850 | — | 50 | 1 | Uniform |
| sc_pick4_evening | 3,470 | 0.0487 | — | 50 | 1 | Non-uniform |
| ri_numbersgame_evening | 3,470 | 0.7391 | — | 50 | 1 | Uniform |
| pa_pick4_evening | 3,470 | 0.2243 | — | 50 | 1 | Uniform |
| tn_cash3_evening | 3,470 | 0.1765 | — | 50 | 1 | Uniform |
| pa_pick5_evening | 3,470 | 0.9004 | — | 50 | 1 | Uniform |
| pa_pick3_evening | 3,470 | 0.4445 | — | 50 | 1 | Uniform |
| tn_cash4_evening | 3,470 | 0.1646 | — | 50 | 1 | Uniform |
| mi_daily3_evening | 3,470 | 0.2679 | — | 50 | 1 | Uniform |
| mo_pick3_evening | 3,469 | 0.2084 | — | 50 | 1 | Uniform |
| mo_pick4_evening | 3,469 | 0.2252 | — | 50 | 1 | Uniform |
| nc_pick3_evening | 3,469 | 0.8969 | — | 50 | 1 | Uniform |
| nc_pick4_evening | 3,469 | 0.4837 | — | 50 | 1 | Uniform |
| ga_cash4_evening | 3,424 | 0.4548 | — | 50 | 1 | Uniform |
| nj_pick4_midday | 3,404 | 0.4202 | — | 50 | 1 | Uniform |
| fl_pick4_midday | 3,386 | 0.5188 | — | 50 | 1 | Uniform |
| fl_pick3_midday | 3,386 | 0.9240 | — | 50 | 1 | Uniform |
| fl_cashpop_evening | 3,283 | 0.4882 | — | 50 | 1 | Uniform |
| ga_cashpop_night | 3,281 | 0.6895 | — | 50 | 1 | Uniform |
| mo_cashpop_evening | 3,246 | 0.1979 | — | 50 | 1 | Uniform |
| tn_cash3_morning | 3,189 | 0.3993 | — | 50 | 1 | Uniform |
| tn_cash4_morning | 3,187 | 0.5486 | — | 50 | 1 | Uniform |
| sc_pick4_midday | 3,167 | 0.2272 | — | 50 | 1 | Uniform |
| sc_pick3_midday | 3,166 | 0.1868 | — | 50 | 1 | Uniform |
| de_pick3_day | 3,156 | 0.3935 | — | 50 | 1 | Uniform |
| de_play4_day | 3,135 | 0.3710 | — | 50 | 1 | Uniform |
| pa_pick2_midday | 3,110 | 0.8871 | — | 50 | 1 | Uniform |
| nj_pick4_evening | 3,095 | 0.9855 | — | 50 | 1 | Uniform |
| dc_pick3_1pm | 3,085 | 0.0194 | — | 50 | 1 | Non-uniform |
| tn_cash4_midday | 2,974 | 0.7433 | — | 50 | 1 | Uniform |
| tn_cash3_midday | 2,973 | 0.3437 | — | 50 | 1 | Uniform |
| in_cashpop | 2,921 | 0.5484 | — | 50 | 1 | Uniform |
| mo_cashpop_morning | 2,373 | 0.1877 | — | 50 | 1 | Uniform |
| mi_fantasy_5 | 2,256 | 0.4410 | — | 50 | 1 | Uniform |
| nc_cash_5 | 2,255 | 0.4186 | — | 50 | 1 | Uniform |
| me_cashpop_night | 2,189 | 0.3310 | — | 50 | 1 | Uniform |
| nc_cashpop | 2,189 | 0.2470 | — | 50 | 1 | Uniform |
| tx_pick3_morning | 2,186 | 0.1758 | — | 50 | 1 | Uniform |
| tx_pick4_morning | 2,181 | 0.6413 | — | 50 | 1 | Uniform |
| za_za_dailylotto | 2,069 | 0.9476 | — | 50 | 1 | Uniform |
| fl_cashpop_morning | 1,965 | 0.1618 | — | 50 | 1 | Uniform |
| ga_cashpop_morning | 1,964 | 0.7765 | — | 50 | 1 | Uniform |
| sc_cashpop_evening | 1,961 | 0.5492 | — | 50 | 1 | Uniform |
| ct_play4_day | 1,907 | 0.8624 | — | 50 | 1 | Uniform |
| ct_pick3_day | 1,907 | 0.6595 | — | 50 | 1 | Uniform |
| fl_fantasy5_evening | 1,828 | 0.5927 | — | 50 | 1 | Uniform |
| il_luckydaylotto_evening | 1,828 | 0.7361 | — | 50 | 1 | Uniform |
| il_luckydaylotto_midday | 1,828 | 0.9864 | — | 50 | 1 | Uniform |
| va_cash5_midday | 1,828 | 0.2848 | — | 50 | 1 | Uniform |
| ct_cash_5 | 1,827 | 0.9930 | — | 50 | 1 | Uniform |
| nm_roadrunnercash | 1,827 | 0.3843 | — | 50 | 1 | Uniform |
| md_bonusmatch5 | 1,827 | 0.3152 | — | 50 | 1 | Uniform |
| az_fantasy_5 | 1,827 | 0.4915 | — | 50 | 1 | Uniform |
| az_tripletwist | 1,827 | 0.9167 | — | 50 | 1 | Uniform |
| oh_rollingcash5 | 1,827 | 0.1253 | — | 50 | 1 | Uniform |
| ri_wildmoney | 1,827 | 0.8573 | — | 50 | 1 | Uniform |
| au_set_forlife | 1,827 | 0.5762 | — | 50 | 1 | Uniform |
| ne_pick5 | 1,827 | 0.0000 | — | 50 | 1 | Non-uniform |
| pa_cash_5 | 1,827 | 0.6430 | — | 50 | 1 | Uniform |
| ok_cash_5 | 1,827 | 0.9510 | — | 50 | 1 | Uniform |
| pa_treasurehunt | 1,827 | 0.2687 | — | 50 | 1 | Uniform |
| in_cash_5 | 1,827 | 0.7184 | — | 50 | 1 | Uniform |
| wi_supercash | 1,827 | 0.7331 | — | 50 | 1 | Uniform |
| cash4life | 1,827 | 0.7119 | 0.2340 | 50 | 1 | Uniform |
| wa_match4 | 1,827 | 0.8737 | — | 50 | 1 | Uniform |
| ie_ie_dailymillion_2pm | 1,827 | 0.5324 | — | 50 | 1 | Uniform |
| ie_ie_dailymillion_9pm | 1,827 | 0.9605 | — | 50 | 1 | Uniform |
| ca_fantasy_5 | 1,827 | 0.8390 | — | 50 | 1 | Uniform |
| ie_ie_dailymillionplus_2pm | 1,827 | 0.5807 | — | 50 | 1 | Uniform |
| mt_bigskybonus | 1,827 | 0.2880 | — | 50 | 1 | Uniform |
| pa_match6 | 1,827 | 0.9708 | — | 50 | 1 | Uniform |
| ie_ie_dailymillionplus_9pm | 1,827 | 0.7402 | — | 50 | 1 | Uniform |
| wi_badger5 | 1,827 | 0.3550 | — | 50 | 1 | Uniform |
| ga_fantasy_5 | 1,827 | 0.1296 | — | 50 | 1 | Uniform |
| mo_showmecash | 1,827 | 0.9580 | — | 50 | 1 | Uniform |
| wa_hit5 | 1,827 | 0.6316 | — | 50 | 1 | Uniform |
| ky_cashball | 1,826 | 0.1308 | — | 50 | 1 | Uniform |
| ny_pick10 | 1,826 | 0.9963 | — | 50 | 1 | Uniform |
| co_cash_5 | 1,822 | 0.5693 | — | 50 | 1 | Uniform |
| nj_jerseycash5 | 1,813 | 0.5810 | — | 50 | 1 | Uniform |
| fl_fantasy5_midday | 1,812 | 0.7984 | — | 50 | 1 | Uniform |
| in_quickdraw_midday | 1,812 | 0.7955 | — | 50 | 1 | Uniform |
| sc_palmettocash5 | 1,810 | 0.6115 | — | 50 | 1 | Uniform |
| 2by2 | 1,810 | 0.0000 | — | 50 | 1 | Non-uniform |
| ne_myday | 1,805 | 0.0000 | — | 50 | 1 | Non-uniform |
| wa_dailykeno | 1,805 | 0.7455 | — | 50 | 1 | Uniform |
| mi_pokerlotto | 1,797 | 0.0000 | — | 50 | 1 | Non-uniform |
| mi_keno | 1,796 | 0.9998 | — | 50 | 1 | Uniform |
| va_cash5_day | 1,790 | 0.0000 | — | 50 | 1 | Non-uniform |
| la_pick5 | 1,784 | 0.7952 | — | 50 | 1 | Uniform |
| ny_take5_14:30 | 1,782 | 0.6691 | — | 50 | 1 | Uniform |
| ny_take5_22:30 | 1,782 | 0.2553 | — | 50 | 1 | Uniform |
| ms_cashpop_evening | 1,765 | 0.4537 | — | 50 | 1 | Uniform |
| es_es_bonoloto | 1,763 | 0.3664 | — | 50 | 1 | Uniform |
| md_cashpop | 1,753 | 0.2856 | — | 50 | 1 | Uniform |
| lucky_for_life | 1,721 | 0.9729 | 0.3632 | 50 | 1 | Uniform |
| fl_pick5_midday | 1,716 | 0.3781 | — | 50 | 1 | Uniform |
| fl_pick2_midday | 1,716 | 0.3527 | — | 50 | 1 | Uniform |
| ar_natural_state_jackpot | 1,681 | 0.8147 | — | 50 | 1 | Uniform |
| tx_allornothing_morning | 1,631 | 0.9791 | — | 50 | 1 | Uniform |
| tx_cash5 | 1,566 | 0.8467 | — | 50 | 1 | Uniform |
| tx_allornothing_evening | 1,566 | 0.9135 | — | 50 | 1 | Uniform |
| tx_allornothing_midday | 1,566 | 0.8859 | — | 50 | 1 | Uniform |
| za_za_lotto | 1,563 | 0.0000 | — | 50 | 1 | Non-uniform |
| ms_pick4_midday | 1,529 | 0.7991 | — | 50 | 1 | Uniform |
| md_pick5_midday | 1,529 | 0.2002 | — | 50 | 1 | Uniform |
| ny_take5_midday | 1,529 | 0.3162 | — | 50 | 1 | Uniform |
| ms_pick3_midday | 1,529 | 0.9088 | — | 50 | 1 | Uniform |
| mn_north5 | 1,528 | 0.0000 | — | 50 | 1 | Non-uniform |
| mn_daily3_evening | 1,528 | 0.3266 | — | 50 | 1 | Uniform |
| va_cashpop_coffeebreak | 1,528 | 0.7301 | — | 50 | 1 | Uniform |
| id_pick4_day | 1,520 | 0.5004 | — | 50 | 1 | Uniform |
| nm_pick4_day | 1,520 | 0.7161 | — | 50 | 1 | Uniform |
| me_pick3_day | 1,519 | 0.9535 | — | 50 | 1 | Uniform |
| nh_pick4_day | 1,519 | 0.3779 | — | 50 | 1 | Uniform |
| nh_pick3_day | 1,519 | 0.9715 | — | 50 | 1 | Uniform |
| me_pick4_day | 1,519 | 0.2865 | — | 50 | 1 | Uniform |
| sc_cashpop_midday | 1,514 | 0.1896 | — | 50 | 1 | Uniform |
| de_pick5 | 1,496 | 0.0000 | — | 50 | 1 | Non-uniform |
| id_idahocash | 1,471 | 0.5349 | — | 50 | 1 | Uniform |
| sg_toto | 1,426 | 0.0000 | — | 200 | 10 | Format-mixed* |
| uk_uk_healthlottery | 1,417 | 0.8738 | — | 50 | 1 | Uniform |
| dc_dc2 | 1,379 | 0.8307 | — | 50 | 1 | Uniform |
| pr_pega2_día | 1,377 | 0.8696 | — | 50 | 1 | Uniform |
| pr_pick4_día | 1,377 | 0.0098 | — | 50 | 1 | Non-uniform |
| pr_pick3_día | 1,377 | 0.6820 | — | 50 | 1 | Uniform |
| de_multiwinlotto | 1,340 | 0.0000 | — | 50 | 1 | Non-uniform |
| tr_loto | 1,327 | 0.0000 | — | 500 | 0.5 | Format-mixed* |
| tn_dailytennesseejackpot | 1,325 | 0.4160 | — | 50 | 1 | Uniform |
| ms_cashpop_midday | 1,320 | 0.5468 | — | 50 | 1 | Uniform |
| gimme5 | 1,305 | 0.1717 | — | 50 | 1 | Uniform |
| nh_pick4_evening | 1,279 | 0.6133 | — | 50 | 1 | Uniform |
| nh_pick3_evening | 1,279 | 0.9298 | — | 50 | 1 | Uniform |
| nh_pick4_midday | 1,278 | 0.1465 | — | 50 | 1 | Uniform |
| ms_pick3_evening | 1,278 | 0.6649 | — | 50 | 1 | Uniform |
| nh_pick3_midday | 1,278 | 0.6404 | — | 50 | 1 | Uniform |
| ms_pick4_evening | 1,278 | 0.9784 | — | 50 | 1 | Uniform |
| ms_match5 | 1,239 | 0.7577 | — | 50 | 1 | Uniform |
| il_lotto | 1,151 | 0.9890 | — | 50 | 1 | Uniform |
| va_pick5_evening | 1,103 | 0.3416 | — | 50 | 1 | Uniform |
| va_pick5_midday | 1,103 | 0.9292 | — | 50 | 1 | Uniform |
| wv_cash25 | 1,071 | 0.9207 | — | 50 | 1 | Uniform |
| za_za_powerballviewing | 1,047 | 0.9182 | — | 50 | 1 | Uniform |
| uk_uk_thunderball | 1,044 | 0.9121 | — | 50 | 1 | Uniform |
| wa_cashpop | 981 | 0.9001 | — | 50 | 1 | Uniform |
| korean_645 | 960 | 0.9562 | — | 500 | 10 | Uniform |
| pa_cashpop_evening | 909 | 0.5640 | — | 50 | 1 | Uniform |
| au_lotto_strike | 893 | 0.6474 | — | 50 | 1 | Uniform |
| me_cashpop_morning | 872 | 0.7651 | — | 50 | 1 | Uniform |
| co_coloradolottoplus | 848 | 0.6537 | — | 50 | 1 | Uniform |
| au_super_66 | 834 | 0.5039 | — | 50 | 1 | Uniform |
| de_pick3_night | 804 | 0.0233 | — | 50 | 1 | Non-uniform |
| mn_gopher5 | 784 | 0.7580 | — | 50 | 1 | Uniform |
| wa_lotto | 783 | 0.5791 | — | 50 | 1 | Uniform |
| fr_loto | 783 | 0.8456 | — | 50 | 1 | Uniform |
| tn_tennesseecash | 783 | 0.4682 | — | 50 | 1 | Uniform |
| ks_superkansascash | 783 | 0.9370 | — | 50 | 1 | Uniform |
| or_winforlife | 783 | 0.5654 | — | 50 | 1 | Uniform |
| or_megabucks | 783 | 0.8961 | — | 50 | 1 | Uniform |
| oh_classiclotto | 777 | 0.0000 | — | 50 | 1 | Non-uniform |
| powerball | 776 | 0.4444 | 0.4828 | 50 | 1 | Uniform |
| tx_lottotexas | 776 | 0.9349 | — | 50 | 1 | Uniform |
| nj_pick6 | 747 | 0.0000 | — | 50 | 1 | Non-uniform |
| az_the_pick | 744 | 0.9743 | — | 50 | 1 | Uniform |
| ky_kentucky5 | 731 | 0.0000 | — | 50 | 1 | Non-uniform |
| es_es_laprimitiva | 730 | 0.7756 | — | 50 | 1 | Uniform |
| lotto_america | 729 | 0.9766 | 0.0753 | 50 | 1 | Uniform |
| ca_on_pick4 | 705 | 0.4291 | — | 50 | 1 | Uniform |
| ca_on_dailykeno | 704 | 0.9345 | — | 50 | 1 | Uniform |
| it_it_millionday | 702 | 0.8334 | — | 50 | 1 | Uniform |
| ca_on_encore | 702 | 0.4747 | — | 50 | 1 | Uniform |
| ca_on_pick2 | 702 | 0.6595 | — | 50 | 1 | Uniform |
| ca_on_pick3 | 700 | 0.6096 | — | 50 | 1 | Uniform |
| nh_megabucksplus | 668 | 0.1404 | — | 50 | 1 | Uniform |
| vt_megabucksplus | 668 | 0.1404 | — | 50 | 1 | Uniform |
| me_megabucksplus | 668 | 0.1404 | — | 50 | 1 | Uniform |
| ma_megabucks | 660 | 0.0000 | — | 50 | 1 | Non-uniform |
| de_pick5_midday | 660 | 0.0000 | — | 50 | 1 | Non-uniform |
| oh_kicker | 655 | 0.3977 | — | 50 | 1 | Uniform |
| powerballdoubleplay | 649 | 0.3951 | — | 50 | 1 | Uniform |
| mi_lotto47 | 644 | 0.8851 | — | 50 | 1 | Uniform |
| pr_loto | 640 | 0.6978 | — | 50 | 1 | Uniform |
| br_megasena | 640 | 0.3823 | — | 50 | 1 | Uniform |
| pr_revancha | 638 | 0.6739 | — | 50 | 1 | Uniform |
| it_it_vincicasa | 632 | 0.6503 | — | 50 | 1 | Uniform |
| au_au_weekdaywindfall | 632 | 0.5467 | — | 50 | 1 | Uniform |
| de_de_keno | 631 | 0.9978 | — | 50 | 1 | Uniform |
| de_de_plus5 | 631 | 0.1866 | — | 50 | 1 | Uniform |
| ca_on_megadicelotto | 629 | 0.9485 | — | 50 | 1 | Uniform |
| ca_on_lightninglotto | 625 | 0.5183 | — | 50 | 1 | Uniform |
| ca_on_pokerlotto | 600 | 0.0000 | — | 50 | 1 | Non-uniform |
| uk_lotto | 525 | 0.6853 | — | 50 | 1 | Uniform |
| fl_jackpottripleplay | 522 | 0.0352 | — | 50 | 1 | Non-uniform |
| ie_lotto | 522 | 0.6951 | — | 50 | 1 | Uniform |
| va_bankamillion | 522 | 0.7819 | — | 50 | 1 | Uniform |
| uk_uk_setforlife | 522 | 0.7517 | — | 50 | 1 | Uniform |
| sd_dakotacash | 522 | 0.2517 | — | 50 | 1 | Uniform |
| ct_lotto | 522 | 0.8134 | — | 50 | 1 | Uniform |
| za_za_powerball_plus | 522 | 0.7131 | — | 50 | 1 | Uniform |
| wi_megabucks | 522 | 0.3006 | — | 50 | 1 | Uniform |
| euromillions | 522 | 0.2809 | — | 50 | 1 | Uniform |
| ca_lotto649 | 522 | 0.8027 | — | 50 | 1 | Uniform |
| megamillions | 522 | 0.7696 | 0.2362 | 50 | 1 | Uniform |
| ca_super_lotto | 522 | 0.1328 | 0.4778 | 50 | 1 | Uniform |
| ny_lotto | 522 | 0.8775 | — | 50 | 1 | Uniform |
| wy_cowboydraw | 522 | 0.3237 | — | 50 | 1 | Uniform |
| nz_nz_newzealandlotto | 522 | 0.1944 | — | 50 | 1 | Uniform |
| ca_lottomax | 522 | 0.0000 | — | 50 | 1 | Format-mixed* |
| nz_nz_newzealandpowerball | 522 | 0.1944 | — | 50 | 1 | Uniform |
| mt_montanacash | 522 | 0.7813 | — | 50 | 1 | Uniform |
| md_multimatch | 521 | 0.7144 | — | 50 | 1 | Uniform |
| za_za_lotto_plus2 | 520 | 0.0000 | — | 50 | 1 | Non-uniform |
| ga_jumbo_bucks | 520 | 0.7268 | — | 50 | 1 | Uniform |
| la_easy5 | 520 | 0.7351 | — | 50 | 1 | Uniform |
| la_lotto | 520 | 0.2353 | — | 50 | 1 | Uniform |
| za_za_lotto_plus1 | 520 | 0.0000 | — | 50 | 1 | Non-uniform |
| it_it_superenalotto | 505 | 0.8855 | — | 50 | 1 | Uniform |
| fl_lotto | 502 | 0.4917 | — | 50 | 1 | Uniform |
| it_eurojackpot | 484 | 0.6362 | — | 50 | 1 | Uniform |
| de_eurojackpot | 484 | 0.6362 | — | 50 | 1 | Uniform |
| mo_lotto | 466 | 0.6262 | — | 50 | 1 | Uniform |
| tx_texastwostep | 447 | 0.0184 | — | 50 | 1 | Non-uniform |
| md_pick5_evening | 437 | 0.3293 | — | 50 | 1 | Uniform |
| md_pick4_evening | 437 | 0.9106 | — | 50 | 1 | Uniform |
| md_pick3_evening | 437 | 0.3052 | — | 50 | 1 | Uniform |
| pa_pick2_evening | 437 | 0.7594 | — | 50 | 1 | Uniform |
| in_quickdraw_evening | 436 | 0.9893 | — | 50 | 1 | Uniform |
| md_cashpop_6pm | 436 | 0.3261 | — | 50 | 1 | Uniform |
| md_cashpop_1pm | 436 | 0.4759 | — | 50 | 1 | Uniform |
| id_pick3_night | 436 | 0.2484 | — | 50 | 1 | Uniform |
| va_cashpop_lunchbreak | 436 | 0.1798 | — | 50 | 1 | Uniform |
| md_cashpop_9am | 436 | 0.8243 | — | 50 | 1 | Uniform |
| va_pick4_night | 436 | 0.4203 | — | 50 | 1 | Uniform |
| in_hoosierlottoplus | 436 | 0.7811 | — | 50 | 1 | Uniform |
| nc_cashpop_clockoutcash | 436 | 0.5079 | — | 50 | 1 | Uniform |
| or_pick4_4pm | 436 | 0.9328 | — | 50 | 1 | Uniform |
| ga_cashpop_primetime | 436 | 0.2769 | — | 50 | 1 | Uniform |
| va_pick3_night | 436 | 0.2331 | — | 50 | 1 | Uniform |
| nm_pick4_evening | 436 | 0.2720 | — | 50 | 1 | Uniform |
| ga_cash4_night | 436 | 0.3817 | — | 50 | 1 | Uniform |
| va_cashpop_rushhour | 436 | 0.1437 | — | 50 | 1 | Uniform |
| nc_cashpop_lunchrush | 436 | 0.0566 | — | 50 | 1 | Uniform |
| ga_cashpop_drivetime | 436 | 0.5569 | — | 50 | 1 | Uniform |
| va_pick5_night | 436 | 0.2095 | — | 50 | 1 | Uniform |
| nc_cashpop_morningbuzz | 436 | 0.4602 | — | 50 | 1 | Uniform |
| dc_pick5_7pm | 436 | 0.7738 | — | 50 | 1 | Uniform |
| nm_pick3_evening | 436 | 0.8755 | — | 50 | 1 | Uniform |
| fl_cashpop_afternoon | 436 | 0.2847 | — | 50 | 1 | Uniform |
| dc_pick3_7pm | 436 | 0.4204 | — | 50 | 1 | Uniform |
| nc_cashpop_primetimepop | 436 | 0.4145 | — | 50 | 1 | Uniform |
| id_pick4_night | 436 | 0.4819 | — | 50 | 1 | Uniform |
| me_cashpop_brunch | 436 | 0.6509 | — | 50 | 1 | Uniform |
| in_cashpop_afternoon | 436 | 0.9602 | — | 50 | 1 | Uniform |
| me_cashpop_suppertime | 436 | 0.1437 | — | 50 | 1 | Uniform |
| dc_pick4_7pm | 436 | 0.3529 | — | 50 | 1 | Uniform |
| md_cashpop_11pm | 435 | 0.0665 | — | 50 | 1 | Uniform |
| dc_pick3_11pm | 435 | 0.6934 | — | 50 | 1 | Uniform |
| nc_cashpop_midnightmoney | 435 | 0.3804 | — | 50 | 1 | Uniform |
| fl_cashpop_latenight | 435 | 0.5188 | — | 50 | 1 | Uniform |
| ga_cash3_night | 435 | 0.6328 | — | 50 | 1 | Uniform |
| or_pick4_10pm | 435 | 0.0349 | — | 50 | 1 | Non-uniform |
| dc_pick4_11pm | 435 | 0.6600 | — | 50 | 1 | Uniform |
| or_pick4_7pm | 435 | 0.9291 | — | 50 | 1 | Uniform |
| va_cashpop_afterhours | 434 | 0.9230 | — | 50 | 1 | Uniform |
| va_pick5_day | 428 | 0.4820 | — | 50 | 1 | Uniform |
| mo_cashpop_night | 427 | 0.4209 | — | 50 | 1 | Uniform |
| ca_on_powerbuckswheeloffortune | 416 | 0.8718 | — | 50 | 1 | Uniform |
| de_pick5_night | 413 | 0.0000 | — | 50 | 1 | Non-uniform |
| de_pick5_day | 411 | 0.0000 | — | 50 | 1 | Non-uniform |
| ct_play4_night | 406 | 0.7265 | — | 50 | 1 | Uniform |
| ct_pick3_night | 406 | 0.9003 | — | 50 | 1 | Uniform |
| ca_wc_lightninglotto | 401 | 0.0000 | — | 50 | 1 | Non-uniform |
| ar_lotto | 394 | 0.9262 | — | 50 | 1 | Uniform |
| de_play4_night | 391 | 0.4011 | — | 50 | 1 | Uniform |
| ca_qc_quotidienne4 | 385 | 0.6154 | — | 50 | 1 | Uniform |
| ca_qc_extra | 384 | 0.9030 | — | 50 | 1 | Uniform |
| ca_tag | 382 | 0.0000 | — | 50 | 1 | Non-uniform |
| ca_ac_bucko | 382 | 0.1639 | — | 50 | 1 | Uniform |
| ca_qc_banco | 382 | 0.9909 | — | 50 | 1 | Uniform |
| ca_ac_hitormiss | 381 | 0.9726 | — | 50 | 1 | Uniform |
| ca_qc_quotidienne2 | 381 | 0.0632 | — | 50 | 1 | Uniform |
| ca_qc_quotidienne3 | 381 | 0.4545 | — | 50 | 1 | Uniform |
| ca_qc_toutourien | 380 | 0.9978 | — | 50 | 1 | Uniform |
| in_hoosierlotto | 380 | 0.5779 | — | 50 | 1 | Uniform |
| ca_wc_pick3 | 380 | 0.8998 | — | 50 | 1 | Uniform |
| ca_lotto4 | 379 | 0.8373 | — | 50 | 1 | Uniform |
| ca_kenoatlantic | 379 | 0.9415 | — | 50 | 1 | Uniform |
| ca_wc_pick2 | 377 | 0.4280 | — | 50 | 1 | Uniform |
| ca_wc_pick4 | 377 | 0.3324 | — | 50 | 1 | Uniform |
| ca_wc_extra | 377 | 0.0000 | — | 50 | 1 | Non-uniform |
| tx_allornothing_night | 374 | 0.8387 | — | 50 | 1 | Uniform |
| tx_pick4_night | 374 | 0.2693 | — | 50 | 1 | Uniform |
| tx_pick3_night | 374 | 0.9317 | — | 50 | 1 | Uniform |
| tx_pick4_day | 369 | 0.1164 | — | 50 | 1 | Uniform |
| tx_pick3_day | 367 | 0.9989 | — | 50 | 1 | Uniform |
| tx_allornothing_day | 367 | 0.9834 | — | 50 | 1 | Uniform |
| pr_pega2_noche | 366 | 0.6595 | — | 50 | 1 | Uniform |
| pr_pick4_noche | 366 | 0.1614 | — | 50 | 1 | Uniform |
| pr_pick3_noche | 366 | 0.0953 | — | 50 | 1 | Uniform |
| ca_qc_lottopoker | 350 | 0.0000 | — | 50 | 1 | Non-uniform |
| ca_wc_pokerlotto | 343 | 0.0000 | — | 50 | 1 | Non-uniform |
| ca_qc_sprinto | 292 | 0.9285 | — | 50 | 1 | Uniform |
| ca_qc_triplex | 292 | 0.0000 | — | 50 | 1 | Non-uniform |
| ca_qc_lottod | 291 | 0.5863 | — | 50 | 1 | Uniform |
| ie_eurodreams | 277 | 0.5099 | — | 50 | 1 | Uniform |
| ca_bc_extra | 277 | 0.9815 | — | 50 | 1 | Uniform |
| au_oz_lotto | 261 | 0.5381 | — | 50 | 1 | Uniform |
| es_es_elgordodelaprimitiva | 261 | 0.2152 | — | 50 | 1 | Uniform |
| au_saturday_lotto | 261 | 0.9401 | — | 50 | 1 | Uniform |
| za_za_dailylotto_plus | 247 | 0.5061 | — | 50 | 1 | Uniform |
| it_it_lotto_torino | 246 | 0.8304 | — | 50 | 1 | Uniform |
| it_it_lotto_cagliari | 246 | 0.5601 | — | 50 | 1 | Uniform |
| it_it_lotto_firenze | 246 | 0.6041 | — | 50 | 1 | Uniform |
| it_it_lotto_genova | 246 | 0.9556 | — | 50 | 1 | Uniform |
| it_it_lotto_venezia | 246 | 0.8595 | — | 50 | 1 | Uniform |
| it_it_lotto_roma | 246 | 0.8805 | — | 50 | 1 | Uniform |
| it_it_lotto_palermo | 246 | 0.4375 | — | 50 | 1 | Uniform |
| it_it_lotto_nazionale | 246 | 0.0312 | — | 50 | 1 | Non-uniform |
| it_it_lotto_napoli | 246 | 0.5425 | — | 50 | 1 | Uniform |
| it_it_lotto_milano | 246 | 0.9449 | — | 50 | 1 | Uniform |
| it_it_lotto_bari | 246 | 0.3017 | — | 50 | 1 | Uniform |
| pa_cashpop_morningbuzz | 225 | 0.3381 | — | 50 | 1 | Uniform |
| pa_cashpop_lunchbreak | 225 | 0.3130 | — | 50 | 1 | Uniform |
| pa_cashpop_night | 224 | 0.6939 | — | 50 | 1 | Uniform |
| ie_ie_lottoplus2 | 183 | 0.7587 | — | 50 | 1 | Uniform |
| ie_ie_lottoplus1 | 183 | 0.7169 | — | 50 | 1 | Uniform |
| de_de_super6 | 183 | 0.6109 | — | 50 | 1 | Uniform |
| de_de_spiel77 | 183 | 0.7627 | — | 50 | 1 | Uniform |
| de_de_lotto6aus49 | 183 | 0.0339 | 0.5367 | 50 | 1 | Non-uniform |
| ca_on_ontario49 | 182 | 0.6093 | — | 50 | 1 | Uniform |
| ie_plus | 182 | 0.2067 | — | 50 | 1 | Uniform |
| ne_pick4 | 180 | 0.5491 | — | 50 | 1 | Uniform |
| ca_bc_bc49 | 172 | 0.7122 | — | 50 | 1 | Uniform |
| ca_dailygrand | 129 | 0.3750 | — | 50 | 1 | Uniform |
| millionaireforlife | 128 | 0.6624 | — | 50 | 1 | Uniform |
| ca_wc_western49 | 116 | 0.8367 | — | 50 | 1 | Uniform |
| ca_wc_westernmax | 116 | 0.6550 | — | 50 | 1 | Uniform |
| ca_qc_quebec49 | 116 | 0.4724 | — | 50 | 1 | Uniform |
| ca_qc_quebecmax | 116 | 0.1489 | — | 50 | 1 | Uniform |
| ca_ac_atlantic49 | 116 | 0.7388 | — | 50 | 1 | Uniform |
| ca_on_earlybird | 92 | 0.2055 | — | 50 | 1 | Uniform |
| ca_on_lottario | 92 | 0.5168 | — | 50 | 1 | Uniform |
| de_de_totoauswahlwette | 92 | 0.0017 | — | 50 | 1 | Non-uniform |
| it_it_sivincetutto | 91 | 0.6777 | — | 50 | 1 | Uniform |
| momillions | 76 | 0.9572 | — | 50 | 1 | Uniform |
| ca_on_pick3_midday | 72 | 0.6712 | — | 50 | 1 | Uniform |
| ca_on_dailykeno_midday | 72 | 0.5611 | — | 50 | 1 | Uniform |
| ca_on_encore_midday | 72 | 0.0075 | — | 50 | 1 | Non-uniform |
| ca_on_pick4_midday | 72 | 0.3028 | — | 50 | 1 | Uniform |
| ca_on_pick2_midday | 72 | 0.8080 | — | 50 | 1 | Uniform |
| ca_on_pick4_evening | 71 | 0.1000 | — | 50 | 1 | Uniform |
| ca_on_pick3_evening | 71 | 0.8679 | — | 50 | 1 | Uniform |
| ca_on_encore_evening | 71 | 0.5340 | — | 50 | 1 | Uniform |
| ca_on_dailykeno_evening | 71 | 0.8486 | — | 50 | 1 | Uniform |
| ca_on_pick2_evening | 71 | 0.1298 | — | 50 | 1 | Uniform |
| it_it_millionday_extramilliondaydrawing | 64 | 0.7349 | — | 50 | 1 | Uniform |
| ca_qc_lamini | 59 | 0.7413 | — | 50 | 1 | Uniform |
| nc_pick4_midday | 29 | 0.8170 | — | 50 | 1 | Uniform |
| nm_pick3_midday | 29 | 0.1287 | — | 50 | 1 | Uniform |
| nm_pick4_midday | 29 | 0.9712 | — | 50 | 1 | Uniform |
| nc_pick3_midday | 29 | 0.6958 | — | 50 | 1 | Uniform |
| tx_pick4_midday | 25 | 0.9709 | — | 50 | 1 | Uniform |
| az_pick3_midday | 15 | 0.3594 | — | 50 | 1 | Uniform |
| dc_pick4_night | 10 | 0.5863 | — | 50 | 1 | Uniform |
| id_pick3_midday | 10 | 0.4072 | — | 50 | 1 | Uniform |
| pa_pick3_midday | 10 | 0.4691 | — | 50 | 1 | Uniform |
| pa_pick4_midday | 10 | 0.9907 | — | 50 | 1 | Uniform |
| pa_pick5_midday | 10 | 0.6593 | — | 50 | 1 | Uniform |
| dc_pick3_night | 10 | 0.4691 | — | 50 | 1 | Uniform |
| id_pick4_midday | 10 | 0.3111 | — | 50 | 1 | Uniform |
| it_it_millionday_day | 7 | 0.6937 | — | 50 | 1 | Uniform |
| it_it_millionday_night | 7 | 0.9401 | — | 50 | 1 | Uniform |
| za_za_powerball_xtra | 7 | 0.9342 | — | 50 | 1 | Uniform |
| za_za_lotto_5max | 6 | 0.2472 | — | 50 | 1 | Uniform |
* Format-mixed (4 games): non-uniformity is fully explained by ball-range changes during the game's history (e.g. Powerball 5/55 → 5/69 in 2015). When filtered to a single format, all games pass at p > 0.05.
Rolling hot-cold trend
Each number's appearance z-score in a trailing 20-draw window over the last 12 months. Showing the 5 numbers whose z swung the most — but across 50 numbers on a short window the most-variable few always look dramatic, so this is selection, not a real trend. Lines fluctuate around 0 and mostly stay in the null band.
5 tracked numbers · trailing window 20 draws
481617402
Each line tracks one number's z-score in a trailing window of 20draws. The shaded band is the null-envelope reference. Lines that stay within the band are consistent with uniform draws. The y-axis is "trailing-window z-score" — not "hotness".
Pairwise co-occurrence
For every pair of main numbers, how often they were drawn together over the last 12 months vs a fair 5-of-50 draw across 1,225 pairs. Over this short window each pair is expected to co-occur only ~0.5 times, so single-cell residuals are not statistically meaningful — apparent hot pairs are small-sample variation, not real pairing.
1225 pairs analyzed · expected ~0.5 co-occurrences per pair — too sparse for per-cell significance; shown descriptively
Residual:
±8σ
Upper triangle shows co-occurrence residuals (lower mirrored at 40% opacity; diagonal hatched). With fewer than ~5 expected co-occurrences per pair, single-cell residuals are small-sample noise — no cell here is statistically significant, and every combination is equally likely.
Methodology
- 1,047 za_za_powerball draws normalised across 2009 to 2026
- Pearson χ² with Wilson-Hilferty p-value approximation. Format changes (number-range expansions) noted with an asterisk; per-format χ² results in the authenticated methodology page.
- Predictive parameters: 5-fold walk-forward CV minimising held-out NLL.
- References: Cover (1989), Stern (1992), Suetens-Tyran (2016), Abrams-Garibaldi (2010).