A survey is conducted to investigate the social security status of the employees

游客2024-01-12  10

问题 A survey is conducted to investigate the social security status of the employees from Company X. From the survey, 70% of the employees have insurance, and 50% of the employees are female. Now given that 80% of the employees are either female or have insurance, what percent of the employees who do not have insurance are male?

选项 A、20
B、25
C、33
D、67
E、75

答案 D

解析 在一家公司中,有70%的员工有社会保险,有50%的员工是女性。已知有80%的员工是女性或是有社保,请问没有社保的员工中男性的占比约为多少呢?核心思路是画图和看清题目问题,但本题通过画韦恩图求解并不直观。当大家发现这道题是非A即B类型的集合题目时,就可以采用列表的方法来解决。
在草稿纸上列出下面的表格:

已知有社保的员工占70%,就可以知道无社保的员工占30%;已知女性占50%,可以知道男性占50%。80%的员工或是女性或有社保或两者都有,就意昧着有20%的员工为男性且没有社保,因为无社保的员工一共占30%,故没有社保的员工中,男性的占比是20%/30%=67%,答案选择D选项。
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