Random systems often look unfair in the short term — that’s a feature of randomness, not evidence of rigging.
Texas Lotto 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 6/54 era. Note: To ensure statistical accuracy, these charts filter out obsolete historical data and analyze only the current 6/54 draws since 2006. That keeps the patterns tied to the rule set and drawing setup in use right now. Sample window: 2408 draws (May 17, 2006 – Oct 31, 2026).
Texas Lotto currently carries a fairness score of 100/100 across the active 6/54 audit scope, which begins in 2006. 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 2,408 audited draws, Texas Lotto scores 100/100 on our goodness-of-fit index (χ² = 59.74 (df = 53), p = 0.2442). Conclusion: no statistically significant deviation detected in this sample.
Methodology
Chi-Square Goodness of Fit, temporal distribution, and combinatorial pattern analysis
Sample
2,408 officially published draws
Primary frequency test (Chi-Square)
χ² = 59.74 (df = 53), p = 0.2442
Structure / pattern test (Chi-Square)
χ² = 6.24 (df = 6), p = 0.3971
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 2,408-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: May 17, 2006 → Oct 31, 2026
Total Draws Analyzed: 2408
Last Updated: November 1, 2026 ET
Executive Summary
This scope audits 2408 Texas Lotto draws from Current 6/54 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 Texas Lotto (Table View)
Number
Observed Count
Expected Count
Deviation
χ² Contribution
#45
229
267.6
-38.6
5.56
#31
301
267.6
+33.4
4.18
#48
236
267.6
-31.6
3.72
#8
298
267.6
+30.4
3.46
#11
239
267.6
-28.6
3.05
* These Texas Lotto numbers contributed most to the Chi-Square statistic in this scope. Historical deviation reflects finite-sample variance and does not change future draw odds.
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
Anomaly
Tue
Normal
Wed
Anomaly
Thu
Normal
Fri
Normal
Sat
Anomaly
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 6/54 rule set. Use this view for short-term pattern context only, not for rule-era comparisons.
Texas Lotto currently carries a fairness score of 100/100 across the active 6/54 audit scope, which begins in 2006. 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, Texas Lotto scores 100/100 on our goodness-of-fit index (χ² = 56.10 (df = 53), p = 0.3595). 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 = 56.10 (df = 53), p = 0.3595
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 1, 2026 ET
Executive Summary
This scope audits 100 Texas Lotto 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 Texas Lotto (Table View)
Number
Observed Count
Expected Count
Deviation
χ² Contribution
#12
19
11.1
+7.9
5.60
#52
4
11.1
-7.1
4.55
#41
18
11.1
+6.9
4.27
#9
5
11.1
-6.1
3.36
#32
17
11.1
+5.9
3.12
* These Texas Lotto numbers contributed most to the Chi-Square statistic in this scope. Historical deviation reflects finite-sample variance and does not change future draw odds.
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.
No statistical pattern bias detected.
3. Temporal Analysis (Draw Timing)
✅ Consistent with Randomness (100/100)
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
Warning
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 250 draws. Note: Showing only the last 250 tracked draws inside the active 6/54 rule set. Use this view for short-term pattern context only, not for rule-era comparisons.
Texas Lotto currently carries a fairness score of 100/100 across the active 6/54 audit scope, which begins in 2006. 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, Texas Lotto scores 100/100 on our goodness-of-fit index (χ² = 43.10 (df = 53), p = 0.8321). 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 = 43.10 (df = 53), p = 0.8321
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 250-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 29, 2025 → Oct 31, 2026
Total Draws Analyzed: 250
Last Updated: November 1, 2026 ET
Executive Summary
This scope audits 250 Texas Lotto 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 Texas Lotto (Table View)
Number
Observed Count
Expected Count
Deviation
χ² Contribution
#9
17
27.8
-10.8
4.18
#27
38
27.8
+10.2
3.76
#22
18
27.8
-9.8
3.44
#12
36
27.8
+8.2
2.43
#32
36
27.8
+8.2
2.43
* These Texas Lotto numbers contributed most to the Chi-Square statistic in this scope. Historical deviation reflects finite-sample variance and does not change future draw odds.
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.
No statistical pattern bias detected.
3. Temporal Analysis (Draw Timing)
✅ Consistent with Randomness (100/100)
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
Warning
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: Legacy draws. Note: Showing legacy draws from 2006 to 2005, before the current 6/54 rule set took over. Use this view for historical comparison only because matrix changes can distort pattern frequency.
Texas Lotto currently carries a fairness score of 100/100 across the active 6/54 audit scope, which begins in 2006. 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 665 audited draws, Texas Lotto scores 54/100 on our goodness-of-fit index (χ² = 268.29 (df = 53), 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
665 officially published draws
Primary frequency test (Chi-Square)
χ² = 268.29 (df = 53), p = 0.0000
Structure / pattern test (Chi-Square)
χ² = 2.32 (df = 6), p = 0.8878
Frequency analysis
44/100 — Anomalies detected
Pattern analysis
100/100 — 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
54 / 100
Minor Sample Deviations
Coverage: Jan 1, 2000 → May 13, 2006
Total Draws Analyzed: 665
Last Updated: November 1, 2026 ET
Executive Summary
This scope audits 665 Texas Lotto draws from Legacy 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)
⚠️ Anomalies Detected (44/100)
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 Texas Lotto (Table View)
Number
Observed Count
Expected Count
Deviation
χ² Contribution
#53
31
73.9
-42.9
24.89
#51
32
73.9
-41.9
23.75
#54
32
73.9
-41.9
23.75
#52
33
73.9
-40.9
22.63
#49
35
73.9
-38.9
20.47
* These Texas Lotto numbers contributed most to the Chi-Square statistic in this scope. Historical deviation reflects finite-sample variance and does not change future draw odds.
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 with a Few Notes
The overall combination patterns are consistent with a fair, random draw.
Historical Note: • We detected a meaningful deviation in High/Low. This deviation is above our detection threshold and will continue to be monitored.
• `2 High • 4 Low`, `0 High • 6 Low`, `1 High • 5 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.
• Seasonal bias detected: Certain numbers appear more frequently in specific months. • Distribution drift detected: The lottery’s number frequencies are changing over time. • 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
Warning (75)
Distribution Drift
Pass (92)
Sudden Shifts
Fail (30)
Recency/Gaps
Warning (74)
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 6/54 rule set.
Texas Lotto currently carries a fairness score of 100/100 across the active 6/54 audit scope, which begins in 2006. 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 3,073 audited draws, Texas Lotto scores 85/100 on our goodness-of-fit index (χ² = 130.66 (df = 53), p = 0.0000). Statistical anomalies were flagged in temporal analysis, warranting further review.
Methodology
Chi-Square Goodness of Fit, temporal distribution, and combinatorial pattern analysis
Sample
3,073 officially published draws
Primary frequency test (Chi-Square)
χ² = 130.66 (df = 53), p = 0.0000
Structure / pattern test (Chi-Square)
χ² = 5.40 (df = 6), p = 0.4934
Frequency analysis
100/100 — Consistent with randomness
Pattern analysis
100/100 — 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
85 / 100
Generally Consistent with Randomness
Coverage: Jan 1, 2000 → Oct 31, 2026
Total Draws Analyzed: 3073
Last Updated: November 1, 2026 ET
Executive Summary
This scope audits 3073 Texas Lotto draws from All tracked 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 Texas Lotto (Table View)
Number
Observed Count
Expected Count
Deviation
χ² Contribution
#45
270
341.4
-71.4
14.95
#46
275
341.4
-66.4
12.93
#53
275
341.4
-66.4
12.93
#48
281
341.4
-60.4
10.70
#50
285
341.4
-56.4
9.33
* These Texas Lotto numbers contributed most to the Chi-Square statistic in this scope. Historical deviation reflects finite-sample variance and does not change future draw odds.
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 with a Few Notes
The overall combination patterns are consistent with a fair, random draw.
Historical Note: • A minor historical deviation appears in High/Low, but it is too small to meaningfully affect outcomes.
• `1 High • 5 Low` appeared more than expected
• `5 High • 1 Low`, `4 High • 2 Low` appeared less 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.
Strategic Choice: • Monitor the pattern: This deviation is now flagged in our ongoing surveillance system.
Sun
Normal
Mon
Anomaly
Tue
Normal
Wed
Anomaly
Thu
Normal
Fri
Normal
Sat
Anomaly
Temporal Stability Check
Seasonality
Pass (100)
Distribution Drift
Pass (91)
Sudden Shifts
Fail (30)
Recency/Gaps
Pass (100)
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
Texas Lotto Data & Statistical Framework
Data source: Official Texas Lotto draw results (May 17, 2006 to Oct 31, 2026)
Operating matrix: 6 main numbers drawn from 1 to 54
Default audited sample: 2,408 draws in the primary scope above (~267.6 expected appearances per main number (1–54))
Primary goodness-of-fit result: χ² = 59.74 (df = 53), p = 0.2442 — no statistically significant deviation detected
Null hypothesis (H0): Each Texas Lotto draw is independent and uniformly random within the 6/54 rule set.
All Texas Lotto tests are evaluated against this null hypothesis using Chi-Square Goodness of Fit tests (df = 53), 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 Texas Lotto sample (2,408 draws, May 17, 2006 to Oct 31, 2026). Check the latest Texas Lotto winning numbers and draw results for the most recent drawing.
“Hot” and “cold” numbers occur naturally in finite 6/54 samples and do not predict future draws — explore them descriptively in the Texas Lotto strategy playground.
Is Texas Lotto truly random and fair?Across 2,408 audited Texas Lotto draws (May 17, 2006 to Oct 31, 2026), the game scores 100/100 on our statistical goodness-of-fit index (primary Chi-Square χ² = 59.74, df = 53, p = 0.2442). 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 Texas Lotto draws for statistical fairness?We test Texas Lotto’s 6 main numbers drawn from 1 to 54 against the null hypothesis of uniform independence. Across 2,408 draws, ~267.6 expected appearances per main number (1–54). We run a Chi-Square Goodness of Fit test (df = 53) across the full era and rolling windows with Holm-Bonferroni multiple-testing correction, alongside combinatorial pattern and temporal drift checks.Which Texas Lotto numbers showed the largest frequency deviation in this sample?In the audited Texas Lotto sample of 2,408 draws, the largest individual contributors to the Chi-Square statistic were #45 (229 observed vs. 267.6 expected, -38.6), #31 (301 observed vs. 267.6 expected, +33.4), #48 (236 observed vs. 267.6 expected, -31.6). Because the overall p-value (p = 0.2442) remains well above significance thresholds after multiple-testing correction, these gaps represent normal finite-sample variance rather than a biased drum.Can a fair Texas Lotto drawing still produce hot streaks or repeat numbers?Yes. In a truly random 6/54 process, short-term clusters, repeat numbers, and long cold gaps are mathematically expected. Texas Lotto scored 100/100 on combinatorial pattern uniformity and 100/100 on temporal stability over 2,408 draws, indicating no statistically significant departure from expected random variance in this sample.Does Texas Lotto’s 100/100 Fairness Score help predict the next winning numbers?No. A 100/100 Fairness Score means historical Texas Lotto 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 Texas Lotto draw.