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

Step-by-step 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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