Question

In a recent study, the following data were obtained in response to the question, "Do you favor the proposal of the school's combining the elementary and middle school students in one building?":
Gender Yes No No Opinion
Males 72 81 5
Females 103 68 7
If a person is selected at random, what is the probability that the person is a female or favors the issue? Put your answer in fully reduced fraction form.

Answer 1

We have a total of 72+81+5=158 males and 103+68+7=178 females surveyed.  That's a total n = 158 + 178 = 336.

Assuming this is a representative population,  we have 72 males in favor which we combine with the 178 females for a total 72+178=250 people that are female or in favor.  So our probability is

$p = \dfrac{250}{336} = \dfrac{125}{168}$

Answer: 125/168