bcoop writes:
...if there are a million people reproducing any number of them may have a positive mutation all at the same point in time.
Yes.
And they could also all have different individual mutations.
bcoop writes:
a. 3 billion generations would take 60 billion years if each female reproduced at the age of 20.
Q: How many people are alive today?
A: ~7 billion.
To create those 7 billion people took more than 7 billion generations (in the sense you were referring to generations).
Q: How many children were born in the 200,000 years since homo sapiens evolved?
A: ~100 billion (current estimate).
This is 100 billion chances at mutations while homo sapiens have existed - and we are a comparatively slow breeding species.
Q: How many of our evolutionary cousins were born in the 2 billion years before homo sapiens evolved?
I am going to guess at much more than 100 billion.
CRYSTALS!!