In class of 147 students, 97 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?
52/147
73/147
31/147
125/146
The answers is 31/147
number(math OR Science) = number(math) + number(science) - number(math AND science)
= 97 + 73 - 52 = 118
let the number taking neither be n
118 + n = 147
n = 29
prob(neither math, nor science) = 29/147
None of your answers are correct
Btw, you can verify my answer by making a Venn diagram.
To calculate the probability of choosing a student who is not taking math or science, we need to determine the number of students who are not taking math or science.
Given that 97 students are taking math (M), and 73 students are taking science (S), and 52 students are taking both math and science, we can calculate the number of students who are taking math or science as follows:
Number of students taking math or science = Number of students taking math + Number of students taking science - Number of students taking both math and science
= 97 + 73 - 52
= 120
Therefore, the number of students who are not taking math or science is:
Number of students not taking math or science = Total number of students - Number of students taking math or science
= 147 - 120
= 27
The probability of choosing a student who is not taking math or science is:
Probability = Number of students not taking math or science / Total number of students
= 27 / 147
= 9 / 49
So, the correct answer is 9/49.
To find the probability of choosing a student who is not taking math or science, we need to find the number of students who are not taking math or science and divide it by the total number of students.
First, let's find the number of students who are taking math or science.
We can do this by adding the number of students taking math and the number of students taking science:
97 (taking math) + 73 (taking science) = 170 (taking math or science)
However, this calculation includes the 52 students who are taking both math and science. So, we need to subtract this number to avoid double counting:
170 (taking math or science) - 52 (taking both math and science) = 118 (taking math or science, but not both)
Now, let's find the number of students who are not taking math or science.
We can do this by subtracting the number of students taking math or science from the total number of students:
147 (total students) - 118 (taking math or science, but not both) = 29 (not taking math or science)
Finally, let's calculate the probability by dividing the number of students not taking math or science by the total number of students:
29 (not taking math or science) / 147 (total students) = 29/147
Therefore, the probability of choosing a student who is not taking math or science is 29/147.