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17 November, 02:19

In a class of 150 students, 95 are taking Math, 75 are taking Science and 55 are taking both. What is the probability that a student is taking neither Math nor Science.

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  1. 17 November, 02:39
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    Probability of the student taking neither math nor science is 35 / 150 or 0.23

    Explanation:

    Given:

    Total students = 150

    Number of students taking maths = 95

    Number of students taking science = 75

    Maths + Science = 55

    Probability of student taking neither math nor science = ?

    Number of students taking only science = 95 - 55

    = 40

    Number of students taking only maths = 75 - 55

    = 20

    Number of students taking neither maths nor science = 150 - 40 - 20 - 55

    = 35

    Probability of the student taking neither math nor science is 35 / 150 or 0.23
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