Did you not recognize the Normal Distribution? -> Yes, I recognize
In order to use your Central Limit you first have to count. -> Yes, the "Absolut Frequency"
None, one or more values can be above the Central Limit. -> Can you explain this?
Concerning the game, you did not specify whether you pick or reject the numbers that have a high frequency. -> always true !, if you remove the numbers with high or low frequency , the system becomes an asymptote , so it is necessary to calculate the probability of entropy generation for balls with low or high frequency ....
The more experiments you have, the smaller the deviation becomes -> When you say "samaller" I interpreted "asymptote", but for very small tarball that the deviation always have this deviation (only it has different magnitude)
I am still looking for the point that you are trying to make, behalf of showing the formula for the Central Limit. -> I show the formula in this post https://www.lotterypost.com/member/164223
For example in one draw:
High Frequency: 5 numbers (can generate entropy)
Med-High Frequency: 20 numbers (no entropy, can generate asymptote)
Med-Low Frequency: 20 numbers (no entropy, can generate asymptote)
Low Frequency: 5 numbers (can generate entropy)
The most probably is that the balls can be pumped from Med-High/Low Frequency (because has much numbers), but High/Low Frequency is probably too, but lower, and not all number with high frequency is ideal for generate entropy...