In a bombing attack, there is 50 % chance that a bomb will hit the...

let probability of hitting the target $= p ⇒ p = \dfrac{1}{2}$

Let $n$ be the minimum number of bombs

According to given condition
$1 - \left(C0 n {P}^{0} ( 1 - P{)}^{n} + C1 n {P}^{1} ( 1 - P{)}^{n - 1}\right) \ge \dfrac{99}{100}$

$⇒ {2}^{n} \ge ( n + 1 ) 100$

$\begin{cases}n = 10 & ⇒ & {2}^{10} \ge 1100\text{Reject} \\ n = 11 & ⇒ & {2}^{11} \ge 1200\text{Select}\end{cases}$