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Reading the draws and working out what chance predicts.
LotteryOracle · F-48
Find equal steps and mirror pairs in history, then grow a fair comparison.
Loto · 5/49 + 1/10 era · since Oct 2008 · grand · 5 / 1–49
2017-12-22 → 2019-12-24 · 3 Draws · Excluded malformed draws: 0
Motifs / Draws: 0.313 · Exact model
3 Draws
| Date | Number | Motifs |
|---|---|---|
| 2017-12-22 | 10 · 20 · 21 · 29 · 34 | 0 |
| 2018-12-25 | 5 · 20 · 31 · 36 · 44 | 0 |
| 2019-12-24 | 10 · 15 · 27 · 32 · 39 | 15–27–39 |
3 Draws
| Date | Number | Motifs |
|---|---|---|
| 1 | 10 · 20 · 27 · 37 · 46 | 0 |
| 2 | 7 · 8 · 19 · 30 · 31 | 7–19–31; 8–19–30 |
| 3 | 17 · 19 · 24 · 36 · 45 | 0 |
Up to 240 recent valid draws from one game, era and slot. Every motif counts, including overlaps. Exact expectations use inclusion probabilities; equal-gap pairs use 8,000 fair simulations with a standard error. The fair archive has the same draw count. Expected motif count is not the probability of finding any motif; browsing these four families is descriptive.
Up to 240 recent valid draws from one game, era and slot. Every motif counts, including overlaps. Exact expectations use inclusion probabilities; equal-gap pairs use 8,000 fair simulations with a standard error. The fair archive has the same draw count. Expected motif count is not the probability of finding any motif; browsing these four families is descriptive.
E[APℓ] = Σd [N−(ℓ−1)d] × C(k,ℓ) / C(N,ℓ)
Equal spacing is easy to notice. In a 6/49 draw, the expected number of three-term arithmetic progressions is about 0.625. Several can occur in the same draw; the garden makes these overlaps visible.