However your math used generations outside of that range including fourth generation when the reported range was 6th to 10th and average of 8th.
I don't appreciate you lying about what I used.
These are the first 5 generations:
What I originally wrote was:
32 4th great grandmothers +
64 5th great grandmothers +
128 6th great grandmothers +
256 7th great grandmothers +
512 8th great grandmothers = 992 women or 0.1 percent
and those are the 6th through 10th generations!
You then go on to say,
Moreover, summing the number of people in different generation as a denominator for DNA contribution of an individual is just an entirely incorrect approach to the problem. While all the ancestors in a particular generation with the same weight, ancestors in different generations have different weight.
and once again, you are mistaken. One and only one of those women (or men), was the original ancestor that provided the DNA. You cannot take the middle number between 64 and 1024 to determine what the odds are. That's nonsense.
But in any case, even the 0.1 percent is just an approximation, because the DNA percentages from each grandparent and/or great grandparent are not consistent from generation to generation. DNA gets passed on in chunks or segments of varying lengths. It is not always exactly 50/50.
Another fact:
You can send the exact same DNA file to three different genealogy sites who do DNA analysis and get completely different results on where your ancestors came from.
Members of differeent generations do not have an even chance of being the contributor of a specific gene.
I did not combine the chances into one number like you did because that would require knowing the relative likelihood of how far back the contributor was.
You are certainly correct to say that this is approximation.
Lastly it is rude to accuse somebody of lying when they misunderstood something you expressed ambiguously. Lying implies intention to deceive. Even if it was completely my negligence to think by "4th great grand mother" you meant "4th generation or in other words her great grand mother" it would mean I was mistaken about what you meant. From my perspective though it was because it was not expressed clearly enough.