## Thinking Mathematically (6th Edition)

$\frac{89}{142}$
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) E: is in the Army or the Navy. A = Neither in Army nor in Navy P( is in the Army or the Navy) = 1 - P( Neither in Army nor in Navy) P( Neither in Army nor in Navy) = $\frac{530000}{1420000}$ = $\frac{53}{142}$ P( is in the Army or the Navy) = 1 - $\frac{53}{142}$ = $\frac{142 - 53}{142}$ = $\frac{89}{142}$