please give me a clue for the following question..

There is 50% chance that any bomb may hit the target. Two direct hits are required to destroy the target completely. How many bombs must be dropped for 99% chance?

Thanks in advance....

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- Aug 9th 2011, 04:51 AMelectroboyno. of bombs required to destroy : question
please give me a clue for the following question..

There is 50% chance that any bomb may hit the target. Two direct hits are required to destroy the target completely. How many bombs must be dropped for 99% chance?

Thanks in advance.... - Aug 9th 2011, 07:19 AMchisigmaRe: no. of bombs required to destroy : question
The solution of the problem is the solution of the 'equation'...

$\displaystyle 1-\sum_{k=0}^{1} \binom{n}{k}\ p^{k}\ (1-p)^{n-k} = .99$ (1)

... where $\displaystyle p=\frac{1}{2}$ and $\displaystyle n$ is the 'unknown quantity'...

Kind regards

$\displaystyle \chi$ $\displaystyle \sigma$