In Safety of Numbers, Lucy's mother focuses so much on safety because she knows that the entrance examinations are very important in determining her daughters future occupation.
Due to her experiences and how much importance the society places on academic brilliance, she is right to have this focus.
Back in her country China, she knows how well the entrance exams can affect a person's future. This exam can determine is a person would be a scholar or if the person would end up providing menial labor.
This is why she is strict on Lucy and pushes her to study so that she can perform very well and get accepted into a college. Safety here means her daughter's security in terms of having a chance at a college education.
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