A lottery draw is indeed random. However, a hidden pattern exists due to the existence of dominant compositions. Our research shows that lottery draws, despite their randomness, exhibit predictable behavior based on the law of large numbers.
This article will address common inquiries about validating dominant compositions using statistical analysis. Let me start with a letter from someone.
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Template #4 vs. Template #1: Which is the better choice?
Hi Edvin:
I bought your 5/69 calculator. It is brilliant and intriguing. Currently, I am building a game strategy and need some guidance. I did queries on the Texas Powerball and found that the dominant composition is template #4 by a “significant?” amount. In Idaho, #4 was better than #1. I understand that over time, template #1 will dominate. But if #4 dominated since 2010, that would intuitively be the better choice. On the other hand, since we see less frequency for #1, is it due to occur? What are your thoughts on this? You can see the detailed results in the attached Workbook.
This has been a fascinating and thought-provoking experience since I read your blog! I was surprised to discover that, while a lottery game is meant to be random, it also follows mathematically deterministic patterns—especially with dominant compositions shaping the outcomes unexpectedly.
Thanks,
How to Validate Dominant Compositions Using Statistics
I’m glad that some players are actively exploring the way lottery game behaves over time. Indeed, a lottery game is mathematically deterministic because it is truly random. Certainly, if something manipulates the draws, lottery prediction won’t be possible.
Now, let me address the reader’s question and I hope that this page enlightens the readers on the proper way to determine dominant compositions when using statistics.
First, collecting data from 2010 is statistically unacceptable because Powerball has undergone adjustments so many times since then. For example, it operated at 5/59+39 in 2010, then 5/59+35 in 2012; the last changes to its format were made in 2015 when it became 5/69+26 until now. So mixed datasets can impact the accuracy of your analysis negatively due to inconsistent probability distribution.
Let me give you an idea how consistent datasets work, my study of the Powerball must start on October 7, 2015, when I analyzed the Powerball game to compare probability predictions with the actual draws. There’s a reason why I need to start on that specific date.

So, why did I start my analysis on October 7, 2015? The answer is because that is the date the 5/69 format was officially adopted.
In short, you cannot mix 5/69 data with other formats because doing so will result in an inconsistent probability distribution.
That’s why extracting the correct dataset is very important.
When you use statistics properly, you will notice that certain groups remain dominant compositions as the number of draws increases. This behavior obeys the law of large numbers.1 It’s a mathematical certainty.
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