One success story is of Jane. She entered a local sweepstakes by a supermarket. She won a year's supply of groceries. It really helped her family save a lot on their daily expenses.
Another success story involves Sarah. She participated in a sweepstakes for a home makeover. She won, and her entire house was renovated. They redid the kitchen, added a new bathroom, and painted all the rooms. Her home value increased significantly, and she got to enjoy a more comfortable living environment. It was a huge transformation that she couldn't have achieved on her own so easily.
Maybe you could have a major scandal or fraud associated with the lottery process, causing public outcry and forcing it to stop. Another option could be if the main characters decide to expose the negative aspects and actively campaign against it.
The lottery in the story works in a very primitive and cruel way. Everyone participates, and the one whose name is drawn is chosen as the victim with no clear reason or logic behind it. It seems to be a blindly followed ritual without any real purpose.
To be honest, I can't recall who wins the lottery precisely in that short story. It's a story that keeps you guessing until the end. Maybe you should give it a read and figure it out for yourself.