SOLUTION: 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

Question 1007231: 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?
I don't understand how this could be possible. Please help!
My answer choices are 52/147, 73/147, 31/147, and 125/147.
Thank you!
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
If 95 are taking math and 52 are taking math AND science, then 43 are just taking math.
If 73 are taking science and 52 are taking math AND science, then 21 are just taking science.
Now add 43 + 21 + 52 = 116 students taking either or both math and science.
If there are 147 students, then
147 - 116 = 31 are not taking either.
31/147 is the answer.
RELATED QUESTIONS
in a class of 147 students, 95 are taking math(M) 73 are taking science(S), and 52 are... (answered by stanbon)

In a group of 147 students, 95 are taking a math class, 73 are taking science and 52 are... (answered by stanbon)

In a class of 151 students, 98 are taking math (M), 79 are taking science (S), and 54 are (answered by greenestamps)

In a class of 150 students, 95 are taking math (M), 77 are taking science (S),... (answered by ikleyn,Boreal)

. In a group of 150 students, more students are taking a math class than are taking a... (answered by Edwin McCravy)

In a class of 160 students, 90 are taking math, 78 are taking science, and 62 are taking... (answered by Edwin McCravy)

A survey asked 1000 college students which courses they were taking this semester. The... (answered by math_tutor2020,greenestamps,MathTherapy)

In a group of 150 students, more students are taking a math class than are taking a... (answered by ankor@dixie-net.com)

Of 100 students surveyed, 80 were taking a math class and 75 were taking a science class. (answered by checkley77)