USA Mega Millions Statistical Analysis Report

Executive Summary

The USA Mega Millions lottery exhibits a high degree of randomness, with no clear patterns or deviations from expected statistical norms. The numbers drawn appear to be truly random, with no significant biases or trends observed in the historical data. However, some minor anomalies and structural trends are worth noting:

• The sum of the numbers drawn tends to fall within the 161-200 range, with the most frequent range being 201+. This suggests a slight preference for higher-value numbers.
• The distribution of odd and even numbers is relatively balanced, with a slight tendency towards more even numbers being drawn.
• Certain number sections (e.g., G1, G3) appear to be drawn more frequently than others, indicating potential biases in the random number generation process.
• The behavior of the bonus ball numbers exhibits some interesting patterns, with certain digits (e.g., 4, 6) being drawn more often than expected.

Overall, the USA Mega Millions lottery appears to be a fair and well-designed game, with no major issues or concerns identified in the statistical analysis. The randomness of the draws is a testament to the integrity of the lottery system.

Current Draw Micro-Analysis

The most recent draw on 2026-01-23 had the following details:

Draw #: 2026-01-23 Date: 2026-01-23 Numbers: [30, 42, 49, 53, 66] Bonus Ball(s): [4]

Sum of Main Numbers: 240 Odd/Even Distribution: 2 odd, 3 even Sections Represented: G1 (1), G2 (1), G3 (2), G4 (1), G5 (0)

The sum of the main numbers (240) falls within the 201+ range, which is the most common bucket observed in the 1-month baseline data. The odd/even distribution leans slightly towards even numbers, which is also a common pattern.

The numbers drawn cover a wide range of sections, with representation from four out of the five groups (G1 to G5). This is a positive sign, as it indicates a diverse set of numbers being selected.

Historical Comparison

1-Month Baseline

• Most Frequent Numbers: 42 (3 draws), 47 (3 draws)
• Least Frequent Numbers: 1, 5, 19, 25, 26, 28, 29, 35, 44, 45, 51, 54, 60, 61, 62, 65, 67

The recent draws show a preference for numbers in the 40s, with 42 and 47 appearing the most frequently. Conversely, several low-value numbers (1, 5, 19) and higher-value numbers (54, 60, 61, 62, 65) have not been drawn at all during this period.

3-Month Baseline

• Most Frequent Numbers: 42 (5 draws), 11 (4 draws), 19 (4 draws), 59 (4 draws), 66 (4 draws)
• Least Frequent Numbers: 28, 29, 35, 45, 51, 54, 62

The 3-month data reveals a more diverse set of frequently drawn numbers, with 42 still leading the pack. Several other numbers, such as 11, 19, 59, and 66, have also been drawn multiple times during this period. The least frequent numbers remain consistent with the 1-month baseline.

1-Year Baseline

• Most Frequent Numbers: 10 (34 draws), 42 (33 draws), 66 (32 draws)
• Least Frequent Numbers: 51, 67, 36, 5, 3

Expanding the analysis to a 1-year timeframe shows that the numbers 10, 42, and 66 have been the most frequently drawn. Conversely, numbers like 51, 67, 36, 5, and 3 have been the least frequent during this period.

3-Year Baseline

• Most Frequent Numbers: 10 (34 draws), 42 (33 draws), 66 (32 draws)
• Least Frequent Numbers: 7, 25, 53, 36, 4, 68

The 3-year baseline data reinforces the findings from the 1-year analysis, with 10, 42, and 66 remaining the most frequently drawn numbers. The least frequent numbers include 7, 25, 53, 36, 4, and 68.

Structural Trends

Sum Range

• 1-Month Baseline: The average sum of the main numbers drawn is 207.1, with the majority (62.5%) falling in the 201+ range.
• 3-Month Baseline: The average sum is 179.2, with the 201+ range being the most common (38.5%).
• 1-Year Baseline: The average sum is 171.4, with the 161-200 range being the most frequent (42.3%).
• 3-Year Baseline: The average sum is 175.4, with the 121-160 range being the most common (27.2%).

The data suggests a slight preference for higher-value numbers, as the 201+ range is the most frequent in the shorter-term baselines. However, the longer-term trends show a more balanced distribution across the sum ranges.

Odd/Even Distribution

• 1-Month Baseline: The best odd/even range is 2 odd, 3 even (62.5% of draws).
• 3-Month Baseline: The best odd/even range is 2 odd, 3 even (73.1% of draws).
• 1-Year Baseline: The best odd/even range is 2 odd, 3 even (76.9% of draws).
• 3-Year Baseline: The best odd/even range is 2 odd, 3 even (78.3% of draws).

The odd/even distribution remains relatively stable across all baselines, with the 2 odd, 3 even range being the most common. This suggests a balanced and random selection of numbers.

Bonus Evolution

Bonus Number Frequency

• 1-Month Baseline: The most frequent bonus number is 4 (3 draws, 37.5%).
• 3-Month Baseline: The most frequent bonus numbers are 4 (4 draws, 15.4%) and 6 (3 draws, 11.5%).
• 1-Year Baseline: The most frequent bonus numbers are 1 (8 draws, 7.7%), 16 (8 draws, 7.7%), and 24 (7 draws, 6.7%).
• 3-Year Baseline: The most frequent bonus numbers are 24 (19 draws, 6.1%), 1 (18 draws, 5.8%), and 18 (18 draws, 5.8%).

The bonus number distribution exhibits some interesting patterns, with certain digits (4, 6, 1, 16, 24) appearing more frequently than others. This may indicate a slight bias in the random number generation process for the bonus balls.

Bonus Last Digit Distribution

• 1-Month Baseline: The top last digits for the bonus numbers are 4 (50.0%), 6 (25.0%), 1 (12.5%), and 2 (12.5%).
• 3-Month Baseline: The top last digits for the bonus numbers are 4 (23.1%), 6 (19.2%), 1 (12.5%), 2 (12.5%), and 3 (9.6%).
• 1-Year Baseline: The top last digits for the bonus numbers are 4 (14.4%), 1 (13.7%), 2 (12.1%), 3 (11.5%), and 8 (9.3%).
• 3-Year Baseline: The top last digits for the bonus numbers are 4 (14.4%), 1 (13.7%), 2 (12.1%), 3 (11.5%), and 8 (9.3%).

The distribution of the last digits for the bonus numbers also exhibits some deviations from the expected uniform distribution, with certain digits (4, 6, 1, 2, 3) appearing more frequently than others.

Conclusion

The USA Mega Millions lottery exhibits a high degree of randomness, with no major concerns or issues identified in the statistical analysis. The numbers drawn appear to be truly random, with no significant biases or trends observed in the historical data.

However, some minor anomalies and structural trends are worth noting:

• The sum of the numbers drawn tends to fall within the 161-200 range, with the most frequent range being 201+, suggesting a slight preference for higher-value numbers.
• The distribution of odd and even numbers is relatively balanced, with a slight tendency towards more even numbers being drawn.
• Certain number sections (e.g., G1, G3) appear to be drawn more frequently than others, indicating potential biases in the random number generation process.
• The behavior of the bonus ball numbers exhibits some interesting patterns, with certain digits (e.g., 4, 6) being drawn more often than expected.

Overall, the USA Mega Millions lottery appears to be a fair and well-designed game, with no major issues or concerns identified in the statistical analysis. The randomness of the draws is a testament to the integrity of the lottery system.