In a bombing attack, there is 50 % chance that a bomb will hit the target. At least two independent hits are…

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 .....

Solution

let probability of hitting the target =pp=12

Let n be the minimum number of bombs

According to given condition
1-C0nP0(1-P)n+C1nP1(1-P)n-199100

  2n(n+1)100

n=102101100 Reject n=112111200 Select 

Asked in: JEE Main 2020 (05 Sep Shift 2)

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