They're genes that were dormant and it suddenly reappears after a long while. What can be made of this:
This might sound crazy but I have a friend that doesn't look anything like her Mexican parents. Both are the traditional brown-skinned folks with indigenous features, dark brown to black hair and mid-dark brown eyes. They have 3 kids. She's the oldest (25 years old) and the only one different from the others. She's white, has strawberry blonde hair and bluish-grey eyes. Absolutely nothing like her parents nor her 2 siblings, nor anyone in the family.
When she was born, they initially thought the nurses gave them the wrong baby. They requested a DNA test done but it showed positive; she's their biological child. The mother doesn't know of any whites in her family, none. The father is different case. It turned out there were a couple white ancestors in his side but they're long, long dead already. That's far back. Yet he turned out to be a carrier of the white genes.
How far back can genes go? Those ancestors from the guy's side are long dead already. How many generations can throwback genes skip?