No, but the sins of the parents get visited on the generations that follow.
Maybe so, but it doesn't make the children responsible for the situation they are in. They are suffering, through no fault of their own. I often wonder how different my life would have been, if I had been born to a poor family in Africa instead of in the US. I was very lucky to be born here, but I certainly didn't do anything to deserve it. The bottom line is that I was lucky and these children weren't.