In a bombing attack, there is 50 % chance that a bomb will hit the target. At least two independent hits are required to destroy the target completely. Then the minimum number of bombs, that must be dropped to ensure that there is at least 99 % chance of completely destroying the target, is . . . . .

Step-by-step solution

let probability of hitting the target = p ⇒ p = 1 2 Let n be the minimum number of bombs According to given condition 1 - C 0 n P 0 ( 1 - P ) n + C 1 n P 1 ( 1 - P ) n - 1 ≥ 99 100 ⇒    2 n ≥ ( n + 1 ) 100 n = 10 ⇒ 2 10 ≥ 1100  Reject  n = 11 ⇒ 2 11 ≥ 1200  Select