## Thinking Mathematically (6th Edition)

$\frac{85}{142}$
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) Find the probability that a person randomly selected from the military population is not in the army. P(is not in the Army) = 1 - P(is in the Army) P(is in the Army) = $\frac{570000}{1420000}$ = $\frac{57}{142}$ P(is not in the Army) = 1 - $\frac{57}{142}$ = $\frac{142 - 57}{142}$ = $\frac{85}{142}$