Law of Large Numbers
In probability theory, the law of large numbers (LLN) is a theorem that describes the result of performing the same experiment a large number of times.
Without getting into the extreme technical side let’s look at the LLN theory and how it works.
Coin toss experiment
If I flip a coin I have a 1 in 2 chance that it will land on heads. If I flip it 20 times recording on paper the result, it is rare the results will show a 50/50 split of heads and tails. A number of factors can come into play that can affect the outcome i.e. different strength toss, wind, sweat, where it lands, coin defects etc.According to LLN, if I keep flipping the coin and recording the results a large number of times, the result will even out to a 1 in 2 chance of landing on heads!
The animation on the left shows an example of the coin toss experiment, blue for heads and red for tails.
Lotteries and LLN
We all know how a lottery works; a bunch of balls are swished around some kind of mechanism and a portion of those balls are randomly selected that make up the winning number. It is frequent and performed a large number of times.
Lottery games are not far from the coin toss example
- There is a set range of numbers
- The same amount of numbers are randomly selected
- The same game is performed a large number of times
As we evolve to a better understanding of our universe and use our imagination to open up to new and old ideas, we can put them into practice and start seeing the patterns of repetitive frequency and the Law of Large Numbers.
If you want to learn more about LLN, checkout: http://en.wikipedia.org/wiki/Law_of_large_numbers