Games Forecast Playground Case files My numbers

🇮🇪Lotto Plus 2

EN

← Lotto Plus 2

pool inferredsingle source

Frequency Explorer Gap & “Overdue” Tracker Sum Distribution Consecutive Numbers Surprise Harmony Matrix Number Constellation Carry-over / Déjà Vu Delta Space Coverage Race Draw Fingerprints Randomness Observatory Positional Ribbons Cross-Lottery Mirror Six true stories Cultural Numbers Atlas The Unpopular Numbers Edge Wheel Workshop Myth Rebuttal Pattern Court Draw Rank Stream Anytime Bias Watch Whole-Draw Drift Conditional Harmony Residue Kaleidoscope Digit Laboratory Crowd Calibration Lab Calibration Forge Johnson Spectrum Compression Lab Forecast Arena Exchangeability Watch Gap Uniformizer Sharing Map Chernoff Map Return Ledger Rule-Change Ledger Machine Room Calendar Court Balls versus RNG World Fairness Board Regression Ledger Lottery Design Studio Chance Detective The Headline Factory The Crowd Through Time Thirty Years of Saturdays Pattern Recipe Lab Arithmetic Progression Garden Same Odds, Different Waits Wrong Formula Lab Euler’s Lottery Desk Casanova’s Risky Treasury The Lottery That Chose Lives The Museum Built by Chance

Loading…

Reading the draws and working out what chance predicts.

← PreviousPattern Recipe Lab Next →Same Odds, Different Waits

LotteryOracle

LotteryOracle reports what happened; it does not predict what is next. Every draw is independent — no number is ever "due".

Games Playground Case files The week Data About Methodology Privacy

Responsible play.A lottery costs more than it pays back; if it stops being fun, help is free and confidential: 1800 936 725all helplines →

Lotto Plus 2: Arithmetic Progression Garden — LotteryOracle

LotteryOracle · F-48

Arithmetic Progression Garden

Find equal steps and mirror pairs in history, then grow a fair comparison.

Choose a ball game with established pool rules: 1–8 numbers drawn, with labels from 1 to 100. An observed maximum alone is insufficient.

∑The maths, in plain language

✦The story behind it

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)

NIST · Hypergeometric distribution

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.

NIST · Hypergeometric distribution