The guy's name was "Noah", and it was more like 4000 years ago, or so I've heard.
IMO, closer to 8,000 years ago. Specifically, 7,600 years ago when the Black Sea flooded. (Noah's Flood/)
Well, I guess we could make it fit if you assume that Noah's wife was a little indiscrete, and either Shem, Ham or Japeth were from a different father. Then 75% of the genes would likely have been from Noah and 25% from the unknown redhead.
It's close enough that I am sure that a little "Creative" work can make it fit ;-)