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Complements
4. Probability / Complements / Problem 3
Problem 3

In a workplace survey, employees were asked whether they prefer working remotely or working on-site. The results are shown below:
Survey results table: Younger employees prefer remote work (52) or on-site work (68); Older employees prefer remote (28) or on-site (102).
Let YY be the event of randomly selecting a person who is a younger employee. State the meaning of Yˉ\bar{Y} and find the value of P(Yˉ)P\left(\bar{Y}\right).