Answer
$\frac{69}{142}$
Work Step by Step
The probability that an event E will not occur is equal to 1 minus the probability that it will occur.
P(not E)= 1 - P(E)
E: Is in the Army or is a woman.
A = Neither in Army nor woman.
P(is in the Army or is a woman) = 1 - P(Neither in Army nor woman)
P(Neither in Army nor woman) = $\frac{730000}{1420000}$ = $\frac{73}{142}$
P(is in the Army or is a woman) = 1 - $\frac{73}{142}$
= $\frac{142 - 73}{142}$ = $\frac{69}{142}$