The story "The Lottery" starts off pleasant enough. It's a nice summer day. Kids are running around. Adults seem to be acting happily enough. Mr. Summers talks to various people. All in all there isn't much to indicate the horrific end of the story. The lottery isn't for anything good. Instead the lottery determines which person of the community will be stoned to death. A specific paper determines which family is chosen, and then another piece of paper determines which family member will be put to death. The worst part of it all is that the townspeople accept it as normal. It is tradition. It's just the way to mark a passage of time.
Mr. Summers is pitied by the townspeople. A reader would think that the people would hate Mr. Summers. He's the guy that's in charge of the entire lottery killing process. Nope. The people express pity for him because he is married to "a scold" and has no children.
In reality Mr. Summers is lucky to not have any children. Because Mr. Summers has no children, that means he will never have the possibility of watching his children stoned to death. The lottery obviously upsets people. Tessie says multiple times that "It wasn't fair." Plus her family has to watch her die. Mr. Summers will never have to deal with that. For that he is lucky.