The chicken or the egg question?

Can children become addicts if one of their parents was an addict? that child did not live with the addict and was raised in a sable, secure, loving home. Is it in their blood? or is it only possible if the child is raised with the addict? repeating behaviour they have seen and see as normal behaviour. Is it in our genes who we become, of course not 100 percent, but part of our d.n.a. When our children display an artist streak, we quickly tell everyone "oh he/she gets that from my side of the family, or if one of our children is good at maths, sport etc.. we claim proudly how they have it in their genes. But when one of our children displays behaviour that is embarrassing e.g. drinking too much, gambling too much or any addictive behaviour. We raise our eyes to heaven and say " I just do not know where I went wrong" ? So my question is this, what comes first the chicken or the egg? Is all behaviour learnt, or is it in our blood, the sins of our fathers etc.. E.G. young boy who has never lived with his father begins to show signs of additive behaviour, his father was an addict. Is this in his blood from day one? or just a one in a million chance that he has also gone the wrong road. What do you think?