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Question
In a class of 147 students, 95 are taking math (M), 73 are taking science (S), and 52 are taking both math and science. If one student is picked at random, what is the probability of choosing a student who is not taking math or science?
(1 point)
Responses
StartFraction 52 over 147 EndFraction
Image with alt text: StartFraction 52 over 147 EndFraction
StartFraction 73 over 147 EndFraction
Image with alt text: StartFraction 73 over 147 EndFraction
StartFraction 31 over 147 EndFraction
Image with alt text: StartFraction 31 over 147 EndFraction
StartFraction 125 over 147 EndFraction
Image with alt text: StartFraction 125 over 147 EndFraction
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To find the probability of choosing a student who is not taking math or science, we need to subtract the number of students taking both math and science from the total number of students and then divide by the total number of students.
The total number of students taking math or science is 95 + 73 = 168.
The number of students taking both math and science is 52.
So, the number of students taking either math or science is 168 - 52 = 116.
Therefore, the probability of choosing a student who is not taking math or science is 116/147.
The correct answer is: StartFraction 116 over 147 EndFraction.