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29 November, 09:44

A survey of college students found that 56 percent live in a campus residence hall and 62 percent participate in a meal program and 42 percent do both what is the probability that a randomly selected student either lives or eats on campus

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  1. 29 November, 10:14
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    The percent of people, who either lives or eats on campus is 34 %.

    Step-by-step explanation:

    Let the total number of people be 100.

    Let set A be people who live in campus = 56

    Let set B be people who participate in meal = 62

    Let set C (A∩B) be people who do both = 42

    According to set theory,

    (A∪B) = A + B - (A∩B) = 56 + 62 - 42 = 76

    Then either lives or eats is given by,

    = (A∪B) - (A∩B) = 76 - 42 = 34

    Thus, the percent of people, who either lives or eats on campus is 34 %.
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