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

2 answers

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.