Answer
$\frac{117}{174}$
Work Step by Step
If A and B are not mutually exclusive events, then
P(A or B) = P(A)+P(B) - P(A and B)
E: has completed four years of high school only or is a woman
A: has completed four years of high school only
B: a woman
P(A) = $\frac{56}{174}$
P(B) = $\frac{92}{174}$
P(A and B) = $\frac{31}{174}$
P(E) = $\frac{56}{174}$ + $\frac{92}{174}$ - $\frac{31}{174}$
=$\frac{56 + 92 - 31}{174}$ = $\frac{117}{174}$
