Powerball — Statistical Analysis
Rigorous frequency tests across 2,036 recorded Powerball draws.
Per-Number Frequency vs. Expected
Each number should appear ~147.5× if the draw is perfectly uniform. Bars outside ±1.5σ are highlighted.
χ² Statistic
202.14
df = 68
p-value
<0.001
Strong signal (p < 0.001)
Expected / Number
147.5
across 2036 draws
Outliers (|z| > 1.5)
20
numbers outside 1.5σ
Gap Analysis
How many draws pass between consecutive appearances. A fair process follows a geometric distribution (dashed line).
Appearances
139
Observed mean gap
14.5 draws
Expected mean gap
13.8 draws
1 / (5/69)
Number 35's gap distribution closely matches the theoretical geometric curve — consistent with a fair draw.
Pair Co-occurrence
Expected ~8.7 times per pair by chance. Ratio = observed ÷ expected. Anything above ~1.5× warrants scrutiny.
Blue marker on each bar = expected frequency. Bar extending past the marker = above chance.
Jackpot Size Over Time
Amount per draw — resets to base after a winner.