Random systems often look unfair in the short term — that’s a feature of randomness, not evidence of rigging.
Powerball era / scope selector
Switch between the current rule set, recent windows, and broader draw history. Each tab reruns the same fairness tests on one audited sample.
Selected scope: Current 5/69 + 1 Powerball era. Note: To ensure statistical accuracy, these charts filter out obsolete historical data and analyze only the current 5/69 + 1 Powerball draws since 2015. That keeps the patterns tied to the rule set and drawing setup in use right now. Sample window: 1423 draws (Oct 7, 2015 – Oct 31, 2026).
Powerball currently carries a fairness score of 100/100 across the active 5/69 + 1 Powerball audit scope, which begins in 2015. That score is descriptive audit context only; it does not make the next draw more or less predictable.
The current signal is strongest in number-frequency dispersion, which is why we separate current-scope audits from broader historical comparisons before drawing conclusions about fairness.
Key Finding
Across 1,423 audited draws, Powerball scores 100/100 on our goodness-of-fit index (χ² = 76.33 (df = 68), p = 0.2285). Conclusion: no statistically significant deviation detected in this sample.
Methodology
Chi-Square Goodness of Fit, temporal distribution, and combinatorial pattern analysis
Sample
1,423 officially published draws
Primary frequency test (Chi-Square)
χ² = 76.33 (df = 68), p = 0.2285
Structure / pattern test (Chi-Square)
χ² = 1.76 (df = 5), p = 0.8811
Frequency analysis
100/100 — Consistent with randomness
Pattern analysis
100/100 — Consistent with randomness
Temporal analysis
100/100 — Consistent with randomness
What this means for players: No statistically significant deviation from uniform randomness was detected in this 1,423-draw sample. “Hot” and “cold” numbers reflect normal finite-sample variance rather than predictive bias.
Fairness Score
100 / 100
Consistent with Randomness (No Significant Deviation)
Coverage: Oct 7, 2015 → Oct 31, 2026
Total Draws Analyzed: 1423
Last Updated: November 2, 2026 ET
Executive Summary
This scope audits 1423 Powerball draws from Current 5/69 + 1 Powerball era. Within this sample, no statistically significant deviation from uniform randomness was detected across the evaluated tests.
Bottom line for this scope: No statistically significant deviation detected in this sample.
Results by Dimension
1. Frequency Analysis (Number Distribution)
✅ Consistent with Randomness (100/100)
We test whether each number appears approximately as often as expected over multiple windows inside the selected scope.
Excellent Randomness
The number frequency distribution is consistent with a fair, random draw.
No significant number bias detected.
Observed vs. Expected Frequency
Contribution to Deviation
* Large contributions do not imply bias; they indicate natural variance concentration.
Most Deviant Numbers in Powerball (Table View)
Number
Observed Count
Expected Count
Deviation
χ² Contribution
#21
128
103.1
+24.9
6.01
#13
79
103.1
-24.1
5.64
#61
125
103.1
+21.9
4.64
#64
125
103.1
+21.9
4.64
#26
83
103.1
-20.1
3.92
* These Powerball numbers contributed most to the Chi-Square statistic in this scope. Historical deviation reflects finite-sample variance and does not change future draw odds.
Powerball Bonus Drum Top Deviations
Bonus Ball
Observed Count
Expected Count
Deviation
Bonus #16
40
54.7
-14.7
Bonus #14
68
54.7
+13.3
Bonus #4
66
54.7
+11.3
Bonus #8
45
54.7
-9.7
Bonus #17
45
54.7
-9.7
2. Pattern Analysis (Combination Structure)
✅ Consistent with Randomness (100/100)
We analyze whether combination patterns (for example even/odd, high/low, and consecutive numbers) occur at rates consistent with randomness inside the selected scope.
Excellent Randomness (No robust deviation detected)
The combination patterns are consistent with a fair, random draw.
We test whether outcomes vary meaningfully by draw timing. This checks for clustering by schedule rather than number popularity.
No Temporal Bias Detected
The timing of draws appears random and fair.
Draws are evenly distributed across time, showing no signs of drift or persistence.
Sun
Normal
Mon
Normal
Tue
Normal
Wed
Normal
Thu
Normal
Fri
Normal
Sat
Normal
Temporal Stability Check
Seasonality
Pass (100)
Distribution Drift
Pass (100)
Sudden Shifts
Pass (100)
Recency/Gaps
Pass (100)
Checks for drift, sudden statistical shifts, and gap anomalies.
Selected scope: Last 100 draws. Note: Showing only the last 100 tracked draws inside the active 5/69 + 1 Powerball rule set. Use this view for short-term pattern context only, not for rule-era comparisons.
Powerball currently carries a fairness score of 100/100 across the active 5/69 + 1 Powerball audit scope, which begins in 2015. That score is descriptive audit context only; it does not make the next draw more or less predictable.
The current signal is strongest in number-frequency dispersion, which is why we separate current-scope audits from broader historical comparisons before drawing conclusions about fairness.
Key Finding
Across 100 audited draws, Powerball scores 100/100 on our goodness-of-fit index (χ² = 62.49 (df = 68), p = 0.6658). Conclusion: no statistically significant deviation detected in this sample.
Methodology
Chi-Square Goodness of Fit, temporal distribution, and combinatorial pattern analysis
Sample
100 officially published draws
Primary frequency test (Chi-Square)
χ² = 62.49 (df = 68), p = 0.6658
Frequency analysis
100/100 — Consistent with randomness
Pattern analysis
100/100 — Consistent with randomness
Temporal analysis
100/100 — Consistent with randomness
What this means for players: No statistically significant deviation from uniform randomness was detected in this 100-draw sample. “Hot” and “cold” numbers reflect normal finite-sample variance rather than predictive bias.
Fairness Score
100 / 100
Consistent with Randomness (No Significant Deviation)
Coverage: Mar 14, 2026 → Oct 31, 2026
Total Draws Analyzed: 100
Last Updated: November 2, 2026 ET
Executive Summary
This scope audits 100 Powerball draws from Last 100 draws. Within this sample, no statistically significant deviation from uniform randomness was detected across the evaluated tests.
Bottom line for this scope: No statistically significant deviation detected in this sample.
Results by Dimension
1. Frequency Analysis (Number Distribution)
✅ Consistent with Randomness (100/100)
We test whether each number appears approximately as often as expected over multiple windows inside the selected scope.
Excellent Randomness
The number frequency distribution is consistent with a fair, random draw.
No significant number bias detected.
Observed vs. Expected Frequency
Contribution to Deviation
* Large contributions do not imply bias; they indicate natural variance concentration.
Most Deviant Numbers in Powerball (Table View)
Number
Observed Count
Expected Count
Deviation
χ² Contribution
#42
13
7.3
+5.8
4.57
#4
12
7.3
+4.8
3.12
#64
12
7.3
+4.8
3.12
#1
3
7.3
-4.3
2.49
#22
3
7.3
-4.3
2.49
* These Powerball numbers contributed most to the Chi-Square statistic in this scope. Historical deviation reflects finite-sample variance and does not change future draw odds.
Powerball Bonus Drum Top Deviations
Bonus Ball
Observed Count
Expected Count
Deviation
Bonus #3
8
3.9
+4.2
Bonus #14
7
3.9
+3.1
Bonus #20
7
3.9
+3.1
Bonus #8
1
3.9
-2.9
Bonus #16
1
3.9
-2.9
2. Pattern Analysis (Combination Structure)
✅ Consistent with Randomness (100/100)
We analyze whether combination patterns (for example even/odd, high/low, and consecutive numbers) occur at rates consistent with randomness inside the selected scope.
Excellent Randomness (No robust deviation detected)
The combination patterns are consistent with a fair, random draw.
We test whether outcomes vary meaningfully by draw timing. This checks for clustering by schedule rather than number popularity.
No Temporal Bias Detected
The timing of draws appears random and fair.
Draws are evenly distributed across time, showing no signs of drift or persistence.
Sun
Normal
Mon
Normal
Tue
Normal
Wed
Normal
Thu
Normal
Fri
Normal
Sat
Warning
Temporal Stability Check
Seasonality
Pass (100)
Distribution Drift
Pass (100)
Sudden Shifts
Pass (100)
Recency/Gaps
Pass (100)
Checks for drift, sudden statistical shifts, and gap anomalies.
Selected scope: Last 250 draws. Note: Showing only the last 250 tracked draws inside the active 5/69 + 1 Powerball rule set. Use this view for short-term pattern context only, not for rule-era comparisons.
Powerball currently carries a fairness score of 100/100 across the active 5/69 + 1 Powerball audit scope, which begins in 2015. That score is descriptive audit context only; it does not make the next draw more or less predictable.
The current signal is strongest in number-frequency dispersion, which is why we separate current-scope audits from broader historical comparisons before drawing conclusions about fairness.
Key Finding
Across 250 audited draws, Powerball scores 99/100 on our goodness-of-fit index (χ² = 60.67 (df = 68), p = 0.7241). Conclusion: no statistically significant deviation detected in this sample.
Methodology
Chi-Square Goodness of Fit, temporal distribution, and combinatorial pattern analysis
Sample
250 officially published draws
Primary frequency test (Chi-Square)
χ² = 60.67 (df = 68), p = 0.7241
Structure / pattern test (Chi-Square)
χ² = 8.53 (df = 5), p = 0.1294
Frequency analysis
100/100 — Consistent with randomness
Pattern analysis
100/100 — Consistent with randomness
Temporal analysis
98/100 — Consistent with randomness
What this means for players: No statistically significant deviation from uniform randomness was detected in this 250-draw sample. “Hot” and “cold” numbers reflect normal finite-sample variance rather than predictive bias.
Fairness Score
99 / 100
Consistent with Randomness (No Significant Deviation)
Coverage: Mar 29, 2025 → Oct 31, 2026
Total Draws Analyzed: 250
Last Updated: November 2, 2026 ET
Executive Summary
This scope audits 250 Powerball draws from Last 250 draws. Within this sample, no statistically significant deviation from uniform randomness was detected across the evaluated tests.
Bottom line for this scope: No statistically significant deviation detected in this sample.
Results by Dimension
1. Frequency Analysis (Number Distribution)
✅ Consistent with Randomness (100/100)
We test whether each number appears approximately as often as expected over multiple windows inside the selected scope.
Excellent Randomness
The number frequency distribution is consistent with a fair, random draw.
No significant number bias detected.
Observed vs. Expected Frequency
Contribution to Deviation
* Large contributions do not imply bias; they indicate natural variance concentration.
Most Deviant Numbers in Powerball (Table View)
Number
Observed Count
Expected Count
Deviation
χ² Contribution
#28
29
18.1
+10.9
6.54
#64
28
18.1
+9.9
5.39
#39
10
18.1
-8.1
3.64
#52
26
18.1
+7.9
3.43
#1
11
18.1
-7.1
2.80
* These Powerball numbers contributed most to the Chi-Square statistic in this scope. Historical deviation reflects finite-sample variance and does not change future draw odds.
Powerball Bonus Drum Top Deviations
Bonus Ball
Observed Count
Expected Count
Deviation
Bonus #2
17
9.6
+7.4
Bonus #8
3
9.6
-6.6
Bonus #16
3
9.6
-6.6
Bonus #1
16
9.6
+6.4
Bonus #20
15
9.6
+5.4
2. Pattern Analysis (Combination Structure)
✅ Consistent with Randomness (100/100)
We analyze whether combination patterns (for example even/odd, high/low, and consecutive numbers) occur at rates consistent with randomness inside the selected scope.
Excellent Randomness (No robust deviation detected)
The combination patterns are consistent with a fair, random draw.
We test whether outcomes vary meaningfully by draw timing. This checks for clustering by schedule rather than number popularity.
Temporal Pattern Flagged
Our screening system has flagged temporal irregularities for monitoring.
• Cold number reversion: Rarely drawn numbers suddenly start appearing frequently. • Recency bias: Numbers repeat more quickly than random probability suggests.
Strategic Choice: • Monitor the pattern: This deviation is now flagged in our ongoing surveillance system.
Sun
Normal
Mon
Normal
Tue
Normal
Wed
Normal
Thu
Normal
Fri
Normal
Sat
Normal
Temporal Stability Check
Seasonality
Pass (100)
Distribution Drift
Pass (100)
Sudden Shifts
Pass (100)
Recency/Gaps
Pass (96)
Checks for drift, sudden statistical shifts, and gap anomalies.
Selected scope: Legacy draws. Note: Showing legacy draws from 2015 to 2014, before the current 5/69 + 1 Powerball rule set took over. Use this view for historical comparison only because matrix changes can distort pattern frequency.
Powerball currently carries a fairness score of 100/100 across the active 5/69 + 1 Powerball audit scope, which begins in 2015. That score is descriptive audit context only; it does not make the next draw more or less predictable.
The current signal is strongest in number-frequency dispersion, which is why we separate current-scope audits from broader historical comparisons before drawing conclusions about fairness.
Key Finding
Across 591 audited draws, Powerball scores 21/100 on our goodness-of-fit index (χ² = 539.39 (df = 68), p = 0.0000). Statistical anomalies were flagged in frequency and temporal analysis, warranting further review.
Methodology
Chi-Square Goodness of Fit, temporal distribution, and combinatorial pattern analysis
Sample
591 officially published draws
Primary frequency test (Chi-Square)
χ² = 539.39 (df = 68), p = 0.0000
Structure / pattern test (Chi-Square)
χ² = 5.14 (df = 5), p = 0.3989
Frequency analysis
11/100 — Anomalies detected
Pattern analysis
71/100 — Minor deviations
Temporal analysis
19/100 — Anomalies detected
What this means for players: Some statistical irregularities were detected. These may reflect mechanical variance, sample-size effects, or genuine anomalies. See the dimension-by-dimension breakdown below for detail.
Fairness Score
21 / 100
Statistical Anomalies Detected
Coverage: Feb 3, 2010 → Oct 3, 2015
Total Draws Analyzed: 591
Last Updated: November 2, 2026 ET
Executive Summary
This scope audits 591 Powerball draws from Legacy draws. Within this sample, the observed variation exceeds normal random noise on one or more goodness-of-fit checks and warrants closer review.
Bottom line for this scope: The selected sample contains statistical irregularities that are stronger than normal random noise.
Results by Dimension
1. Frequency Analysis (Number Distribution)
⚠️ Anomalies Detected (11/100)
We test whether each number appears approximately as often as expected over multiple windows inside the selected scope.
Significant Number Bias Detected
Statistical analysis indicates that certain numbers are appearing more or less frequently than random chance would predict.
Strategic Choice: • Follow the Trend: Consider including the over-performing numbers in your selection. • Bet on Reversion: Consider playing the under-performing numbers, anticipating they will eventually catch up.
Observed vs. Expected Frequency
Contribution to Deviation
* Large contributions do not imply bias; they indicate natural variance concentration.
Most Deviant Numbers in Powerball (Table View)
Number
Observed Count
Expected Count
Deviation
χ² Contribution
#60
0
42.8
-42.8
42.83
#61
0
42.8
-42.8
42.83
#62
0
42.8
-42.8
42.83
#63
0
42.8
-42.8
42.83
#64
0
42.8
-42.8
42.83
* These Powerball numbers contributed most to the Chi-Square statistic in this scope. Historical deviation reflects finite-sample variance and does not change future draw odds.
Powerball Bonus Drum Top Deviations
Bonus Ball
Observed Count
Expected Count
Deviation
Bonus #21
8
22.7
-14.7
Bonus #9
10
22.7
-12.7
Bonus #3
13
22.7
-9.7
Bonus #4
13
22.7
-9.7
Bonus #22
13
22.7
-9.7
2. Pattern Analysis (Combination Structure)
ℹ️ Minor Deviations (71/100)
We analyze whether combination patterns (for example even/odd, high/low, and consecutive numbers) occur at rates consistent with randomness inside the selected scope.
Significant Anomaly
Statistical bias towards certain number combinations are detected
• A minor historical deviation appears in Consecutive, but it is too small to meaningfully affect outcomes.
• `3 • 1 • 1`, `2 • 1 • 1 • 1` appeared more than expected
• `1 • 1 • 1 • 1 • 1` appeared less than expected
• We detected a meaningful deviation in High/Low. This deviation is above our detection threshold and will continue to be monitored.
• `0 High • 5 Low`, `1 High • 4 Low` appeared more than expected
• `4 High • 1 Low` appeared less than expected.
Recent Trend Alert: • Biais was detected in the last 500 draws:
• We detected a meaningful deviation in High/Low. This deviation is above our detection threshold and will continue to be monitored.
• `0 High • 5 Low`, `1 High • 4 Low` appeared more than expected
• `4 High • 1 Low` appeared less than expected
Strategic Choice: • Exploit the bias: Build your combinations to match the over-performing patterns. • Avoid the bias: Build combinations that match patterns that have shown no statistical deviation.
We test whether outcomes vary meaningfully by draw timing. This checks for clustering by schedule rather than number popularity.
Temporal Pattern Flagged
Our screening system has flagged temporal irregularities for monitoring.
• Seasonal bias detected: Certain numbers appear more frequently in specific months. • Distribution drift detected: The lottery’s number frequencies are changing over time.
Strategic Choice: • Monitor the pattern: This deviation is now flagged in our ongoing surveillance system.
Sun
Normal
Mon
Normal
Tue
Normal
Wed
Anomaly
Thu
Normal
Fri
Normal
Sat
Anomaly
Temporal Stability Check
Seasonality
Fail (9)
Distribution Drift
Pass (92)
Sudden Shifts
Pass (100)
Recency/Gaps
Pass (100)
Checks for drift, sudden statistical shifts, and gap anomalies.
Selected scope: All tracked draws. Note: Showing all tracked draws together. This is the broadest view, but legacy matrix changes can dilute pattern comparisons against the current 5/69 + 1 Powerball rule set.
Powerball currently carries a fairness score of 100/100 across the active 5/69 + 1 Powerball audit scope, which begins in 2015. That score is descriptive audit context only; it does not make the next draw more or less predictable.
The current signal is strongest in number-frequency dispersion, which is why we separate current-scope audits from broader historical comparisons before drawing conclusions about fairness.
Key Finding
Across 2,014 audited draws, Powerball scores 20/100 on our goodness-of-fit index (χ² = 167.23 (df = 68), p = 0.0000). Statistical anomalies were flagged in frequency and temporal analysis, warranting further review.
Methodology
Chi-Square Goodness of Fit, temporal distribution, and combinatorial pattern analysis
Sample
2,014 officially published draws
Primary frequency test (Chi-Square)
χ² = 167.23 (df = 68), p = 0.0000
Structure / pattern test (Chi-Square)
χ² = 3.76 (df = 5), p = 0.5847
Frequency analysis
10/100 — Anomalies detected
Pattern analysis
77/100 — Consistent with randomness
Temporal analysis
40/100 — Anomalies detected
What this means for players: Some statistical irregularities were detected. These may reflect mechanical variance, sample-size effects, or genuine anomalies. See the dimension-by-dimension breakdown below for detail.
Fairness Score
20 / 100
Statistical Anomalies Detected
Coverage: Feb 3, 2010 → Oct 31, 2026
Total Draws Analyzed: 2014
Last Updated: November 2, 2026 ET
Executive Summary
This scope audits 2014 Powerball draws from All tracked draws. Within this sample, the observed variation exceeds normal random noise on one or more goodness-of-fit checks and warrants closer review.
Bottom line for this scope: The selected sample contains statistical irregularities that are stronger than normal random noise.
Results by Dimension
1. Frequency Analysis (Number Distribution)
⚠️ Anomalies Detected (10/100)
We test whether each number appears approximately as often as expected over multiple windows inside the selected scope.
Significant Number Bias Detected
Statistical analysis indicates that certain numbers are appearing more or less frequently than random chance would predict.
Strategic Choice: • Follow the Trend: Consider including the over-performing numbers in your selection. • Bet on Reversion: Consider playing the under-performing numbers, anticipating they will eventually catch up.
Observed vs. Expected Frequency
Contribution to Deviation
* Large contributions do not imply bias; they indicate natural variance concentration.
Most Deviant Numbers in Powerball (Table View)
Number
Observed Count
Expected Count
Deviation
χ² Contribution
#65
94
145.9
-51.9
18.49
#60
96
145.9
-49.9
17.09
#68
99
145.9
-46.9
15.10
#66
101
145.9
-44.9
13.84
#67
104
145.9
-41.9
12.05
* These Powerball numbers contributed most to the Chi-Square statistic in this scope. Historical deviation reflects finite-sample variance and does not change future draw odds.
Powerball Bonus Drum Top Deviations
Bonus Ball
Observed Count
Expected Count
Deviation
Bonus #16
58
77.5
-19.5
Bonus #22
61
77.5
-16.5
Bonus #8
62
77.5
-15.5
Bonus #17
63
77.5
-14.5
Bonus #12
65
77.5
-12.5
2. Pattern Analysis (Combination Structure)
✅ Consistent with Randomness (77/100)
We analyze whether combination patterns (for example even/odd, high/low, and consecutive numbers) occur at rates consistent with randomness inside the selected scope.
Minor Deviations
Slight deviations, but not statistically significant.
• A minor historical deviation appears in High/Low, but it is too small to meaningfully affect outcomes.
• `0 High • 5 Low`, `1 High • 4 Low` appeared more than expected
• `4 High • 1 Low` appeared less than expected
• A minor historical deviation appears in Tens, but it is too small to meaningfully affect outcomes.
• `2 • 2 • 1`, `3 • 1 • 1` appeared more than expected
• `1 • 1 • 1 • 1 • 1` appeared less than expected.
Recent Trend Alert: • Biais was detected in the last 500 draws:
• We detected a meaningful deviation in High/Low. This deviation is above our detection threshold and will continue to be monitored.
• `0 High • 5 Low`, `1 High • 4 Low` appeared more than expected
We test whether outcomes vary meaningfully by draw timing. This checks for clustering by schedule rather than number popularity.
Temporal Pattern Flagged
Our screening system has flagged temporal irregularities for monitoring.
• Distribution drift detected: The lottery’s number frequencies are changing over time. • Cold number persistence: Rarely drawn numbers continue to be avoided. • Recency bias: Numbers repeat more quickly than random probability suggests.
Strategic Choice: • Monitor the pattern: This deviation is now flagged in our ongoing surveillance system.
Sun
Normal
Mon
Normal
Tue
Normal
Wed
Anomaly
Thu
Normal
Fri
Normal
Sat
Anomaly
Temporal Stability Check
Seasonality
Pass (100)
Distribution Drift
Pass (92)
Sudden Shifts
Fail (30)
Recency/Gaps
Pass (97)
Checks for drift, sudden statistical shifts, and gap anomalies.
What This Audit Tests (and What It Doesn’t)
This audit evaluates whether published draw outcomes behave like a fair, random process based on historical data.
✅ What We Test
Whether outcomes match expected statistical behavior
Large, persistent anomalies inconsistent with randomness
Separating normal streaks from systemic bias
❌ What We Don’t Test
Predicting future numbers or improving odds
Detecting rare, targeted “Sniper Attacks” (e.g., Eddie Tipton case)
Guarantees of future fairness
Powerball Data & Statistical Framework
Data source: Official Powerball draw results (Oct 7, 2015 to Oct 31, 2026)
Operating matrix: 5 main numbers drawn from 1 to 69 plus 1 Powerball from 1 to 26
Default audited sample: 1,423 draws in the primary scope above (~103.1 expected appearances per main number (1–69))
Primary goodness-of-fit result: χ² = 76.33 (df = 68), p = 0.2285 — no statistically significant deviation detected
Null hypothesis (H0): Each Powerball draw is independent and uniformly random within the 5/69 + 1/26 rule set.
All Powerball tests are evaluated against this null hypothesis using Chi-Square Goodness of Fit tests (df = 68), Holm-Bonferroni multiple-testing correction, temporal drift/seasonality checks, and combinatorial pattern analysis.
Interpreting the Fairness Score
A Fairness Score of 100/100 summarizes how closely the audited draw sample aligns with the null hypothesis of uniform randomness:
High Score (90+): No statistically significant deviation detected in this sample across the evaluated goodness-of-fit tests.
Component Checks: Positional or drum-level frequency distributions and combinatorial structures pass independent significance thresholds.
Sample Variance: Observed hot and cold streaks fall within the range expected for a uniform random process of this sample size.
The Fairness Score is an Exploratory Data Analysis (EDA) summary of historical goodness-of-fit tests. Failing to reject the null hypothesis means no statistically significant deviation was detected in this sample; it cannot certify the physical draw mechanism or rule out rare, targeted tampering.
A high score does not imply outcomes are evenly spaced or predictable — only that they are statistically ordinary.
A high score does not imply predictability. It simply means the game is behaving fairly. Fair games are unpredictable by definition — see how statistical math detects lottery anomalies.
Short-term streaks are expected. Seeing the same number twice in a row is rare but normal. It is not evidence of a glitch; see our draw independence research.
Transparency & Validation
This audit is part of the Lucky Picks Lottery Fairness Score program and uses standard statistical tools, including Chi-Square Goodness of Fit tests, effect size filtering, and component-level integrity checks across all audited lotteries.
Statistical audits cannot prove intent or rule out fraud absolutely. We can only detect statistical anomalies.
Smaller windows are noisier than full-history analysis. Recent trends may be due to short-term variance.
Rare biases may require more data to detect than is currently available.
This report reflects what the data can — and cannot — support.
What This Means for Players
No statistically significant deviation from uniform randomness was detected in the audited Powerball sample (1,423 draws, Oct 7, 2015 to Oct 31, 2026). Check the latest Powerball winning numbers and draw results for the most recent drawing.
“Hot” and “cold” numbers occur naturally in finite 5/69 + 1/26 samples and do not predict future draws — explore them descriptively in the Powerball strategy playground.
Is Powerball truly random and fair?Across 1,423 audited Powerball draws (Oct 7, 2015 to Oct 31, 2026), the game scores 100/100 on our statistical goodness-of-fit index (primary Chi-Square χ² = 76.33, df = 68, p = 0.2285). We detected no statistically significant deviation from uniform randomness across frequency (100/100), pattern (100/100), or temporal (100/100) dimensions in this sample.How do you test Powerball draws for statistical fairness?We test Powerball’s 5 main numbers drawn from 1 to 69 plus 1 Powerball from 1 to 26 against the null hypothesis of uniform independence. Across 1,423 draws, ~103.1 expected appearances per main number (1–69). We run a Chi-Square Goodness of Fit test (df = 68) across the full era and rolling windows with Holm-Bonferroni multiple-testing correction, alongside combinatorial pattern and temporal drift checks.Which Powerball numbers showed the largest frequency deviation in this sample?In the audited Powerball sample of 1,423 draws, the largest individual contributors to the Chi-Square statistic were #21 (128 observed vs. 103.1 expected, +24.9), #13 (79 observed vs. 103.1 expected, -24.1), #61 (125 observed vs. 103.1 expected, +21.9). Because the overall p-value (p = 0.2285) remains well above significance thresholds after multiple-testing correction, these gaps represent normal finite-sample variance rather than a biased drum.Can a fair Powerball drawing still produce hot streaks or repeat numbers?Yes. In a truly random 5/69 + 1/26 process, short-term clusters, repeat numbers, and long cold gaps are mathematically expected. Powerball scored 100/100 on combinatorial pattern uniformity and 100/100 on temporal stability over 1,423 draws, indicating no statistically significant departure from expected random variance in this sample.Does Powerball’s 100/100 Fairness Score help predict the next winning numbers?No. A 100/100 Fairness Score means historical Powerball outcomes show no statistically significant departure from uniform randomness. Because each drawing is independent, past hot or cold numbers do not alter the probability of any combination on the next Powerball draw.